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UNIT- II
Mrs. Chetna Sinha
Assistant Professor
GECRaipur
Elements of wireless communication
 Base Station : A fixed station in a mobile radio system used for radio communication with
mobile stations. BS are located at the center or on the edge of a coverage region and
consist of radio channels and transmitter and receiver antennas mounted on a tower.
 Control Channel : Radio channels used for transmission of call setup, call request, call initiation, and other
beacon or control purposes.
 Forward Channel : Radio channel used for transmission of information from the BS to the mobile.
 Handoff : The process of transferring a Mobile Station from one channel or BS to another.
 Mobile Station : A station in the cellular radio service intended for use while in motion at unspecified
locations. Mobile stations may be hand-held personal units (portables) or installed in
vehicles (mobiles).
 MSC : Switching centre which coordinates the routing of calls in a large service area. In a cellular
radio system, the MSC connects the cellular base stations and the mobiles to the PSTN. An
MSC is also called a mobile telephone switching office (MTSO).
 Page : A brief message which is broadcast over the entire service area, usually in a simulcast
fashion by many base stations at the same time.
 Reverse Channel : Radio channel used for transmission of information from the mobile to base station.
 Roamer : A mobile station which operates in a service area (market) other than that from which
service has been subscribed.
 Subscriber : A user who pays subscription charges for using a mobile communications system.
 Transceiver : A device capable of simultaneously transmitting and receiving radio signals.
Cellular Telephone systems
Reuse channels to maximize capacity
 Geographic region divided into cells
 Frequencies/timeslots/codes reused at spatially separated locations
 Base stations/Mobile Telephone Switching Offices (MTSOs) coordinate handoff and control functions
 It provides a wireless connection to the PSTN for any user location within the radio range of the system.
 Cellular systems accommodate a large number of users over a large geographic area, within a limited frequency
spectrum.
 High capacity is achieved by limiting the coverage of each BS transmitter to a small geographic area called a cell so
that the same radio channels may be reused by another base station located some distance away.
 A sophisticated switching technique called a handoff enables a call to proceed uninterrupted when the user moves from
one cell to another.
Cellular Telephone systems
Provide connection to the PSTN for any user location within the radio
range of the system.
Characteristic
– Large number of users
– Large Geographic area
– Limited frequency spectrum
– Reuse of the radio frequency by the concept of “cell’’.
• Basic cellular system: mobile stations, base stations, and mobile
switching center.
 Each base station is allocated a portion of the total number of channels available to the entire
system,
 Nearby base stations are assigned different groups of channels so that all the available channels
are assigned to a relatively small number of neighboring base stations.
 The interference between base stations (and the mobile users under their control) is minimized.
 By systematically spacing base stations and their channel groups throughout a market, the
available channels are distributed throughout the geographic region and may be reused as many
times as necessary, so long as the interference between co-channel stations is kept below
acceptable levels.
 As the demand for service increases (i.e., as more channels are needed within a particular market),
the number of base stations may be increased (along with a corresponding decrease in transmitter
power to avoid added interference), thereby providing additional radio capacity with no additional
increase in radio spectrum.
 Principle: A fixed number of channels serve an arbitrarily large number of subscribers by reusing
the channels throughout the coverage region. Furthermore, the cellular concept allows every piece
of subscriber equipment within a country or continent to be manufactured with the same set of
channels, so that any mobile may be used anywhere within the region.
 Each mobile communicates via radio with one of the base stations and may be
handed off to any number of base stations throughout the duration of a call.
 The mobile station contains a transceiver, an antenna, and control circuitry, and
may be mounted in a vehicle or used as a portable hand-held unit.
 The base stations consist of several transmitters and receivers which
simultaneously handle full duplex communications and generally have towers
which support several transmitting and receiving antennas.
 The base station serves as a bridge between all mobile users in the cell and
connects the simultaneous mobile calls via telephone lines or microwave links to
the MSC.
 The MSC coordinates the activities of all of the base stations and connects the
entire cellular system to the PSTN. A typical MSC handles 100,000 cellular
subscribers and 5,000 simultaneous conversations at a time, and accommodates
all billing and system maintenance functions, as well. In large cities, several
MSCs are used by a single carrier.
Communication between the base station and
mobiles is defined by the standard common
air interface (CAI)
 – Forward voice channel (FVC): voice transmission from base station to mobile
 – Reverse voice channel (RVC): voice transmission from mobile to base station
 – Forward control channels (FCC): initiating mobile call from base station to mobile
 – Reverse control channel (RCC): initiating mobile call from mobile to base station
Communication between BS & mobiles - common air
interface (CAI)
 The two channels responsible for initiating mobile calls are the forward control channels (FCC) and reverse control
channels (RCC). Control channels are often called setup channels because they are only involved in setting up a call and
moving it to an unused voice channel.
 Control channels transmit and receive data messages that carry call initiation and service requests, and are monitored by
mobiles when they do not have a call in progress.
 Forward control channels also serve as beacons which continually broadcast all of the traffic requests for all mobiles in
the system
 supervisory and data messages are sent in a number of ways to facilitate automatic channel changes and handoff
instructions for the mobiles before and during a call.
 In a certain bandwidth, part of that bandwidth is used for control applications and the remainder of the bandwidth is used
for traffic which is useful for actually sending the data.
 So if a base station needs to communicate with a mobile, there could be a downlink or the forward channel which carries
the traffic which is actually userr voice or data. But to ensure that this traffic channel works perfectly, we need to set it up
using a control channel. This is also a forward channel.
 The mobile station must also communicate by setting up a channel using a control channel called reverse control channel.
This is called the uplink and once the channel is set up, user communicate the data using a traffic channel called the
uplink traffic channel or the reverse link.
How a cellular telephone call is made
 The control channels are defined and standardized over the entire geographic area covered and typically make up about 5% of the
total number of channels available in the system (the other 95% are dedicated to voice and data traffic for the end-users).
 When a cellular phone is turned on, but is not yet engaged in a call, it first scans the group of forward control channels to
determine the one with the strongest signal, and then monitors that control channel until the signal drops below a usable level.
 It also scans the control channels in search of the strongest base station signal.
 Since the control channels are standardized and are identical throughout different markets within the country or continent, every
phone, scans the same channels while idle.
 When a telephone call is placed to a mobile user, the MSC dispatches the request to all base stations in the cellular system.
 The mobile identification number which is a characteristic of that mobile station is being broadcast. It is unique to that mobile.
This number may not be the same as the phone number. It‟s another code.
 The mobile receives the MIN as a paging message over the FCC sent by the base station which it monitors, and responds by
identifying itself over the RCC.
 The base station relays the acknowledgment sent by the mobile and informs the MSC of the handshake. Then, the MSC instructs
the base station to move the call to an unused voice channel within the cell (typically, between ten to sixty voice channels and just
one control channel are used in each cell's base station).
 At this point the base station signals the mobile to change frequencies to an unused forward and reverse voice channel pair, at
which point another data message (called an alert) is transmitted over the forward voice channel to instruct the mobile telephone to
ring, thereby instructing the mobile user to answer the phone.
 Figure shows the sequence of events involved with connecting a call to a mobile user in a cellular telephone system. All of these
events occur within a few seconds and are not noticeable by the user.
Scans group of FCC to find strongest signal & strongest base station signal
Phone turned
ON, not
engaged in
call
Monitors that
CC until signal
drops below
usable level
Timing diagram to illustrate how call to mobile user by a landline subscriber is established
MSC Receives call
from PSTN.
Sends the
requested
MIN to all BS
Verifies that the
mobile has a valid
MIN, ESN pair
Instructs BS to
move call to unused
voice channel pair
within the cell
Connects the
mobile with the
calling party on
PSTN
Base
Station
FCC Transmits page
(MIN) for specified
user
Signals mobile to
change frequencies
to unused FVC &
RVC,
RCC Receives MIN, ESN,
Station Class Mark
and informs MSC of
handshake
FVC data msg(alert) to
instruct mobile to
ring
Begin voice
transmission
RVC Begin voice
reception
Mobile FCC Receives page and
matches the MIN
with its own MIN
Receives data msgs
to move to specified
voice channel
RCC Acknowledges
receipt of MIN &
sends ESN & station
class Mark
FVC Begin voice
reception
RVC Begin voice
transmission
Timing diagram to illustrate how call initiated by a mobile is established
MSC Receives a call
initiation request
from base station &
verifies the mobile
has valid MIN, ESN
pair
Instructs FCC of
originating BS to move
mobile to a pair of voice
channels
Connects the mobile
with the called party
on PSTN
Base
Station
FCC Page for called mobile,
instructing it to move to
voice channel
RCC Receives a call initiation
request , MIN, ESN, &
telephone no. of called party,
SCM
FVC Begin voice
transmission
RVC Begin voice reception
Mobile FCC Receives page &
matches MIN with its
own MIN, and receives
instruction to move to
voice channel
RCC Sends a call initiation request
along with its MIN, ESN, &
telephone no. of called party,
SCM
FVC Begin voice reception
RVC Begin voice
transmission
Roaming
 This allows subscribers to operate in service areas other than the one from which service is subscribed.
 When a mobile enters a city or geographic area that is different from its home service area, it is registered as
a roamer in the new service area.
 This is accomplished over the FCC, since each roamer is camped on to a FCC at all times. Every several
minutes, the MSC issues a global command over each FCC in the system, asking for all mobiles which are
previously unregistered to report their MIN and ESN over the RCC.
 New unregistered mobiles in the system periodically report back their subscriber information upon receiving
the registration request, and the MSC then uses the MIN/ESN data to request billing status from the home
location register (HLR) for each roaming mobile.
 If a particular roamer has roaming authorization for billing purposes, the MSC registers the subscriber as a
valid roamer.
 Once registered, roaming mobiles are allowed to receive and place calls from that area, and billing is routed
automatically to the subscriber's home service provider.
Frequency Reuse : the Need
 Fixed telephone networks run wires to every household
 Suppose we would like to give every household in Raipur a voice bandwidth
so they can talk. So we need to give about 4 KHz of spectrum but the number
of households in Raipur is about 5 million.
 5million households * 4KHz spectrum is 20GHz of bandwidth.
 Clearly impractical,
 No other service is possible using radio transmission. If we have to provide
additional data, allow users to check their emails over the phone,
downloads stock codes and cricket commentary, we are out of business.
 Most of the spectrum will remain unused most of the time.
 If there is a phone line connection, adaptive reallocation is not possible. So
clearly there is a need to do frequency reuse.
Frequency Reuse
 Cellular radio systems rely on intelligent allocation and reuse of channels throughout the
coverage area.
 Each base station is allocated a group of radio channels to be used within the small
geographic area which is defined as a cell.
 So it is not just a frequency but a frequency band.
 Neighboring base stations are given different channel allocation from each other to avoid
interference.
 The biggest problem with frequency reuse is manmade noise or interference. If we reuse
the same frequency for transmitting data at a distance, we will definitely get some stray
interfering signals. Since they are exactly in the same band and we cannot use a filter to
filter it out because data is also in the same band.
 Performance cannot be improved by simply increasing the signal to noise ratio. If we
increase signal strength to beat the noise, it will also create more interference for
neighbouring cell because the frequency is being reused. Cellular networks must have an
efficient power control mechanism. GSM phone monitors the transmit power level 800
times/ sec.
Frequency Reuse
 The base station antennas are designed to achieve the desired coverage within the particular cell.
 By limiting the coverage area to within the boundaries of a cell, the same group of channels may be
used to cover different cells that are separated from one another by distances large enough to keep
interference levels within tolerable limits.
 However the farther we put the co-channel cell, the less frequently we reuse the frequency, the less
capacity we can have. so that is the tradeoff between how much capacity we can pack in in terms of
closely putting the reuse factors and then we reuse the frequency as and when it is desired.
 The design process of selecting and allocating channel groups for all of the cellular base stations within
a system is called frequency reuse or frequency planning.
 In concept of cellular frequency reuse, cells labeled with the same letter use the same group of
channels. The frequency reuse plan is overlaid upon a map to indicate where different frequency
channels are used.
 The hexagonal shape and non-overlapping cell shown in Figure is conceptual and is a simplistic model
of the radio coverage for each base station, but it has been universally adopted since the hexagon
permits easy and manageable analysis of a cellular system.
 The actual radio coverage of a cell is known as the footprint and is determined from field measurements
or propagation prediction models.
 real footprint is amorphous in nature, a regular cell shape is needed for systematic system design and
adaptation for future growth.
 The entire space is filled by adding more hexagonal cells. This is a cluster of 7 cells, each
one represented by a different color and each color represents a different frequency band.
 The user of adjacent cells are not interfering because they are using different frequency
bands and are not going to interfere. And this cluster is replicated all over the geographical
area.
 The distance between this two blues is the same as light green with this light green . So the
reuse distance is the same.
 It is interesting to note that we cannot have any random number of cells in the cluster.
Again note that the distance between the green cells here are the co-channel cells. It is the
same between any cluster. No frequency band is being discriminated. All frequency bands
are going to suffer through the same co-channel interference levels.
Questions?
 Why should the distance be same?
 Suppose user take a cell, rotate it and keep it, then certain cells will have more distance and certain cells will
have less distance. Certain group of cells will have poor quality of service because of interference because
distance will attenuate the radiations coming from a co-channel cell. If the distance is fixed and pre-calculated,
then we know how much interference we are dealing with. Therefore, the distance should be same to guarantee a
certain level of affordable co-channel interference.
 If we have this cluster size smaller, say a cluster of 4, then the reuse distance will go down and the capacity will
go up. Therefore, there is tradeoff between the co channel interference and the reuse distance. So cells with the
same color in this diagram reflect same frequencies. In this example we have used a reuse factor of 1/7.
 When we switch on a mobile phone and we want to initiate a call which frequency do we choose?
 Suppose mobile phone is in this light green cell and it is switched on, it has only a set of frequencies with which
it can communicate to this base station. The mobile has a possibility to use any of the frequencies in all the cells.
But which particular reverse channel will it use will be dictated by the base station and eventually through the
mobile switching center. But the base station in this region would communicate using a frequency band
represented by green and tomorrow if the MS wishes to move to the purple cell or to the orange cell; it will
choose the frequency sub-band depending upon the channels available, the frequencies available and allocated.
 suppose a base station can only support these green frequencies while the mobile station moves from green to
the purple cell, a handover will take place not only to the base station but a new channel will be given which is
nothing but a new frequency. all the light green cells form the co-channel cells. Similarly all the purple cells are
co-channel cells and will interfere
Cell Shape
 a base station which will radiate.now if it is in omnidirectional radiation, we would have a
circular cell.it‟s ideal.in reality we would not like to have it for several reasons.
 I would like to do system planning and cover my entire area of interest using circular cells. I
can do so but the problem with putting circular cells for coverage is that user are left with
these empty spaces where I cannot predict any coverage. It‟s clearly a bad modeling as a
mobile system service provided I must be able to give 99.99 % coverage if not 100 %.
 Clearly, triangle is a poor approximation of a circle. So in order to maintain close contact
with reality I come up with another cell shape called the square cell.it also has a property to
cover the entire geographical region without leaving open spaces. It also approximates the
circle but in a poor manner.
 So in a quest to come up with a cell shape which approximates the circular ideal shape but is
not completely counter intuitive, we go to the next possible shape which is the hexagonal
cell.
 Hexagon has largest area inside circle compared to square and triangle
 Using a hexagonal geometry, fewest numbers of cells can cover the entire geographical
region as opposed to square cell or a triangle cell
 In practice, the shape of each cell depends on the transmitter radiation pattern and
terrain topography
 For most theoretical treatment, hexagonal model of cells is adopted because they are
shapes that approximates a circle.
 So let‟s stick with hexagonal cells and user will find it in most textbooks and research
papers that they are using hexagonal cells.
 A cell must be designed to serve the weakest mobiles within the footprint, and these are
typically located at the edge of the cell. For a given distance between the center of a polygon
and its farthest perimeter points, the hexagon has the largest area of the three.
 Thus, by using the hexagon geometry the fewest number of cells can cover a geographic
region, and the hexagon closely approximates a circular radiation pattern which would occur
for an omni-directional base station antenna and free space propagation.
 When using hexagons to model coverage areas, base station transmitters are depicted as either
being in the center of the cell (center-excited cells) or on three of the six cell vertices (edge-
excited cells).
 Normally, omni-directional antennas are used in center-excited cells and sectored directional
antennas are used in corner-excited cells. Practical considerations usually do not allow base
stations to be placed exactly as they appear in the hexagonal lausert.
 When taking u-v axis, we don‟t have to count fractional amounts of hexagons as we go along
any axis. The u-v axis is separated by 60 degrees.
 We would like to count hexagons after what is a reuse distance. we would like to quantify that
number in terms of the cell radius.
 So the cell radius R is the same as the length of a side of a hexagon. I would like to count the
distance in terms of the cell radius. How many units are there? How many radii do I move
from one cell to other? So it will be a normalized unit. If I would like to measure the distance
between two co-channel cells D, I want to quote it in terms of this number R which is the cell
radius and the length of the side of a cell.
 N is number of cells in a cluster. The value for N is a function of how much interference a mobile
or base station can tolerate while maintaining a sufficient quality of communications. From a
design viewpoint, the smallest possible value of N is desirable in order to maximize capacity over
a given coverage area (i.e.. to maximize C ). The frequency reuse factor of a cellular system is
given by 1/N, since each cell within a cluster is only assigned 1/N of the total available channels
in the system.
 Due to the fact that the hexagonal geometry has exactly six equidistant neighbors and that the
lines joining the centers of any cell and each of its neighbors are separated by multiples of 60
degrees, there are only certain cluster sizes and cell lauserts which are possible.
 In order to connect without gaps between adjacent cells — the geometry of hexagons is such that
the number of cells per cluster, N, can only have values which satisfy equation
 𝑁 = 𝑖2
+ 𝑖𝑗 + 𝑗2
, where i and j are non-negative integers.
 To find the nearest co-channel neighbors of a particular cell, (1) move i cells along any chain of
hexagons and then (2) turn 60 degrees counter-clockwise and move / cells. E.g. for i = 3 and j = 2
(example, N = 19).
 D is distance between co-channel cells in adjacent cluster=squareroot (N)
Cell Capacity & Reuse
 Consider a cellular system having total of S duplex channels. If each cell is
allocated a group of k channels (k <S), and if the S channels are divided among N
cells into unique and disjoint channel groups where each have the same number of
channels, the total number of available radio channels can be expressed as S = kN
 The N cells which collectively use the complete set of available frequencies is
called a cluster. If a cluster is replicated M times within the system, the total
number of duplex channels C, can be used as a measure of capacity and is given C
= MkN = MS
 the capacity of a cellular system is directly proportional to the number of times a
cluster is replicated in a fixed service area. The factor N is called the cluster size
and is typically equal to 4, 7, or 12.
 If the cluster size N is reduced while the cell size is kept constant, more clusters are
required to cover a given area and hence more capacity (a larger value of C) is
achieved. i.e. N M and hence C
 Conversely, a small cluster size (N less, higher capacity) indicates that co-channel
cells are located much closer together hence large co-channel interference and low
QoS i.e. Quality of service.
 If a total of 30 MHz of bandwidth is allocated to a particular FDD cellular telephone system
which uses two 25 kHz simplex channels to provide full duplex voice and control channels,
compute the number of channels available per cell if a system uses (a) 4-cell reuse, (b) 7-cell
reuse (c) 12-cell reuse. If 1 MHz of the allocated spectrum is dedicated to control channels,
determine an equitable distribution of control channels and voice channels in each cell for each
of the three systems
 ans: Total bandwidth =33 MHz, Channel bandwidth = 25 khz x 2 simplex channels = 50
kHz/duplex channel, Total available channels = 30,000/50 = 600 channels
 (a) For N= 4, total number of channels available per cell = 600/4 = 150 channels. (b) For
N=7, total number of channels available per cell = 600/7 = 85 channels. (c) For N = 12, total
number of channels available per cell = 600/12 = 50 channels.
 A 1 MHz spectrum for control channels implies that there are 1000/50 = 20 control
channels out of the 600 channels available. To evenly distribute the control and voice
channels, simply allocate the same number of channels in each cell wherever possible.
Here, the 600 channels must be evenly distributed to each cell within the cluster.
 (a) For N = 4, (600-20)/4 =145 voice channels per cell. and 5 control channels In
practice, however, each cell only needs a single control channel (the control channels
have a greater reuse distance than the voice channels). Thus, one control channel and
145 voice channels would be assigned to each cell.
 (b) For N = 7, (600-20)/7=82 voice channels per cell, 4 cells with 3 control channels
and 82voice channels, 3 cells with 2 control channels and 82 voice channels could be
allocated. In practice, however, each cell would have one control channel, four cells-
4vould have 81 voice channels, and three cells would have 82 voice channels.
 (c) For N = 12, we can have 8 cells with 2 control channels and 48 voice channels, and
4 cells with 1 control channel and 49 voice channels each. In an actual system, each cell
would have 1 control channel, 8 cells would have 48 voice channels, and 4 cells would
have 49 voice channels.
Traffic Theory
 how many calls can be handled,
 how many users can we support,
 how many calls will get blocked,
 how many calls will get delayed etc.
 all these are questions which will ultimately relate to the quality of service
Definitions
 Set up time: time required to allocate a radio channel to a requesting user.
 there is a finite time that will lapse from the start of a request to user being actually granted the call.
 the total number of users is much larger than the total available channels at any time since we believe that not
everybody is going to talk at the same time. However, if someone request for a call to be setup, we give one
of the available channel and for the entire duration of the time the user gets to use the channel. After the call
is over, the channel is returned to the channel pool. this is the notion of trunking, a trunk which has several
channels. It‟s a pool of channels which the users can request for and use if available.
 Blocked Call: A call that cannot be completed at the time of request due to congestion (lost call). Lost
call is lost revenue.
 It means that sometimes when user make a request user may not be granted a channel. user may be blocked
or user may have to wait. So they are two parameters. user may have a probability of blockage and a certain
duration of wait before user actually get to use the channel. both this things are probabilistic and we have to
estimate the time user have to wait or what is the probability of blocking that will take place.
 holding time. : average duration of a typical call.
 This holding time can be regulated by increasing or decreasing the cost per minute. So the mobile companies
can actually play around with this holding time by changing the tariff. Today, usually the tariff is going down
because of competition. So holding time is actually increasing.
 Request Rate: It is the average number of calls per unit time usually represented by lambda
 So the units could be number of calls per hour. Typically in an office environment, it could be 5 calls an hour. From
home environment, it could be 2 calls an hour. If it is a call center, there may be 35 calls an hour or more. So
lambda changes from circumstances to circumstances.
 Traffic intensity: is defined as the measure of channel utilization time. It is measured in Erlangs.
 Load: It is actually the traffic intensity across the entire radio system.
 A channel kept busy for 1 hour is defined as having a load of one Erlang.
 Grade Of Service (GoS) : A measure of congestion which is specified as a probability.
 It depends on many things. it should depend on the number of users who were trying to make a call and how long
they hold the call once they get connected.
 So there are two kinds of probabilities
 one is the probability of a call being blocked. if the service provider has designed his system for a higher
probability of call blocking. However the design of the system for very stringent call blocking probability will
require them to reserve too many channels.
 The other probability is the probability of a call being delayed beyond a certain amount of time. If it is beyond a
certain amount of time, the user will also lose patience and probably give up trying to make the call. It is bad
business strategy. So we have two kinds of charts and associated formulae.
 One is called the Erlang B formula and the associated Erlang B chart and the Erlang C formula and Erlang C chart
which tells us directly and quickly what are the probabilities, the number of channels available and the load.
 The Probability of call being Blocked (Erlang B).
 The probability of call being delayed beyond a certain amount of time (Erlang C).
Trunking
 The concept of trunking allows a large number of users to share the relatively small number of
channels in a cell by providing access to each user, on demand, from a pool of available channels. In
a trunked radio system, each user is allocated a channel on a per call basis, and upon termination of
the call, the previously occupied channel is immediately returned to the pool of available channels.
 Trunking exploits the statistical behavior of users so that a fixed number of channels or circuits may
accommodate a large, random user community.
 In a trunked mobile radio system, when a particular user requests service and all of the radio
channels are already in use, the user is blocked, or denied access to the system. In some systems, a
queue may be used to hold the requesting users until a channel becomes available.
 One Erlang represents the amount of traffic intensity carried by a channel that is completely
occupied (i.e. 1 call-hour per hour or 1 call-minute per minute). For example, a radio channel that is
occupied for thirty minutes during an hour carries 0.5 Erlangs of traffic.
 The grade of service (GOS) is a measure of the ability of a user to access a trunked system during
the busiest hour.
 The grade of service is a benchmark used to define the desired performance of a particular trunked
system by specifying a desired likelihood of a user obtaining channel access given a specific
number of channels available in the system. It is the wireless designer's job to estimate the
maximum required capacity and to allocate the proper number of channels in order to meet the GoS.
GOS is typically given as the likelihood that a call is blocked, or the likelihood of a call
experiencing a delay greater than a certain queuing time
GoS
 The traffic intensity offered by each user is equal to the call request rate multiplied by
the holding time. That is, each user generates a traffic intensity of Au Erlangs given by
Au= Traffic per user= lambda * H
 where H is the average duration of a call and lambda is the average number of call requests
per unit time.
 For a system containing U users and an unspecified number of channels, the total
offered traffic intensity A, is given as
 A=Au U
 In a C channel trunked system, if the traffic is equally distributed among the channels,
then the traffic intensity per channel,Ac, is given as
 Ac= traffic intensity per channel= U Au/C
 There are two types of trunked systems which are commonly used.
 The first type offers no queuing for call requests. That is, for every user who requests service, it is assumed
there is no setup time and the user is given immediate access to a channel if one is available. If no channels are
available, the requesting user is blocked without access and is free to try again later. This type of trunking is
called blocked calls cleared and assumes that calls arrive as determined by' a Poisson distribution.
 Furthermore, it is assumed that there are an infinite number of users as well as the following:
 (a) there are memoryless arrivals of requests, implying that all users, including blocked users, may request a
channel at any time;
 (b) the probability of a user occupying a channel is exponentially distributed, so that longer calls are less likely
to occur as described by an exponential distribution; and
 (c) there are a finite number of channels available in the trunking pool. This is known as an M/M/m queue, and
leads to the derivation of the Erlang B formula (also known as the blocked calls cleared formula).
 The Erlang B formula determines the probability that a call is blocked and is a measure of the GOS for a
trunked system which provides no queuing for blocked calls. The Erlang B formula is derived in Appendix A
and is given by
 where C is the number of trunked channels offered by a trunked radio system and A is the total offered traffic.
 The second kind of trunked system is one in which a queue is provided to hold calls which
are blocked. If a channel is not available immediately, the call request may be delayed until a
channel becomes available. This type of trunking is called Blocked Calls Delayed, and its
measure of GOS is defined as the probability that a call is blocked after waiting a specific
length of time in the queue.
 To find the GOS, it is first necessary to find the likelihood that a call is initially denied
access to the system. The likelihood of a call not having immediate access to a channel is
determined by the Erlang C formula
The Erlang C chart showing probability of
delay Vs traffic intensity
Traffic Theory
 Average no of MSs requesting service (request/time)
 Average arrival rate= ʎ
 Average time for which MS requires service
 Average Hold time= T
 Offered load a= ʎ T (Erlangs)
 E.g, In a cell with 100 MSs on an average 30 requests are generated during an hour
(3600 sec) with average hold time T=360 seconds (6 minutes)
 Then arrival rate ʎ= 30/3600 request/sec.
 A channel kept busy for one hour is defined as one Erlang
 Offered load
 Average arrival rate during a short interval t is given by ʎt .
 Assuming Poison Distribution of service request the probability P(n,t) for n
calls to arrive in an interval of length t is given by
 Assuming µ to be the service rate, probability of each call to terminate during
interval t is given by µ t.
 Thus probability of given call requires service of each time t or less is given by
Traffic theory
 Efficiency is being defined as the traffic which is non-blocked and divided by the capacity.
 Clearly it is how many calls that I can handle divided by the theoretical limit of the number of
calls that is possible to handle. It is nothing but Erlangs into the portion of non-routed traffic
divided by the number of trunks.
 word trunks signifies a cluster of channels. The trunking theory essentially realize that the
number of users is much larger than the total number of channels available in the trunk. So trunk
is a bunch of channels..
TRAFFIC THEORY (Example 1)
 Consider a cell with S=2 channels , 100 mobile stations , Generating on an average 30 requests/hour ,
Average holding timeT=360 seconds (6 minutes)
 Load a= (30 × 6)/60 = 3 Erlangs
 Blocking Probability B(S , a)=0.53
 Total number of rerouted calls =30 × 0.53=16
 Efficiency =3(1-0.53)/2=0.7
 3 Erlangs is the traffic being generated in this small cell but a very ambitious kind of an environment with 100 users
requesting30 calls per hour.
 So if we put these numbers where S =2 and a =3 in Erlang B formula, the blocking probability obtained is 0.53. So
more than half the calls will be blocked.
 if 100 people are generating 30 calls an hour but there only two channels and the key factor is each call lasts only 6
minutes, then probabilistically just over a little half the calls are being blocked. So whatever calls are being blocked
will have to be rerouted. So the total number of rerouted calls is 30 per hour times 0.53= 16 calls per hour have to be
rerouted.
 Efficiency is a load *( 1- the blocking probability) divided by the total number of channels available which is equal to
0.7.
 So in this 2 channel cell, we still have an efficiency of 0.7. this is not economically viable. Nobody will accept this
kind of a service. Please remember to take this efficiency from 0.7 to 0.8, it will require user to have some more
additional channels. To take it from 0.8 to 0.9, it will require user to do a much more effort. For taking it from 0.9 to
0.99, it will take user a lot more effort. So taking to that closer to 100% efficiency requires a lot of effort.
 What is rerouting a call?
Channel assignment strategy
 A scheme for increasing capacity and minimizing interference is required
 Channel assignment strategies can be classified as either fixed or dynamic.
 The choice of channel assignment strategy impacts the performance of the system, how
a call is managed when a mobile user is hand off from one cell to another cell
Channel assignment strategy
 Fixed & dynamic
 Fixed channel assignment strategy- each cell is allocated a predetermined set of voice channels. Any call attempt
within the cell can only be served by the unused channels in that particular cell.
 If all the channels in that cell are occupied, the call is blocked and the subscriber does not receive service.
 Borrowing strategy- a cell is allowed to borrow channels from a neighboring cell if all of its own channels are
already occupied. The mobile switching center (MSC) supervises such borrowing procedures and ensures that
the borrowing of a channel does not disrupt or interfere with any of the calls in progress in the donor cell.
Dynamic channel assignment strategy
 Voice channels are not allocated to different cells permanently. Each time a call request is made, the serving base
station requests a channel from the MSC.
 The switch then allocates a channel to the requested cell following an algorithm that takes into account
 the likelihood of future blocking within the cell,
 the frequency of use of the candidate channel,
 the reuse distance of the channel,
 and other cost functions.
 To ensure the minimum QoS, the MSC only allocates a given frequency if that frequency is not presently in use in
the cell or any other cell which falls within the minimum restricted distance of frequency reuse to avoid co-channel
interference.
 Dynamic channel assignment reduce the likelihood of blocking, which increases the trunking capacity of the
system, since all the available channels in a market are accessible to all of the cells.
 Dynamic channel assignment strategies require the MSC to collect real-time data on channel occupancy, traffic
distribution, and radio signal strength indications (RSSI) of all channels on a continuous basis.
 This increases the storage and computational load on the system but provides the advantage of increased channel
utilization and decreased probability of a blocked call.
Handoff strategies
 When a mobile moves into a different cell while a conversation is in progress, the MSC automatically
transfers the call to a new channel belonging to the new base station.
 This handoff operation involves identifying a new base station, and allocation of the voice and control
channels associated with the new base station.
 Handoffs must be performed successfully and as infrequently as possible, and be imperceptible to the users.
 In order to meet these requirements, system designers must specify an optimum signal level at which to
initiate a handoff.
 Once a particular signal level is specified as the minimum usable signal for acceptable voice quality at the
base station receiver (normally taken as between —90 dBm and —100 dBm), a slightly stronger signal level
is used as a threshold at which a handoff is made.
 This margin is given by ∆= 𝑃𝑟 ℎ𝑎𝑛𝑑𝑜𝑓𝑓 − 𝑃𝑟 𝑚𝑖𝑛𝑖𝑚𝑢𝑚 𝑢𝑠𝑎𝑏𝑙𝑒 cannot be too large or too small.
 If ∆ is too large, unnecessary handoffs which burden the MSC may occur, and if ∆ is too small, there may be
insufficient time to complete a handoff before a call is lost due to weak signal conditions. Therefore, ∆ is
chosen carefully to meet these conflicting requirements.
Hand off region
 Hand off region pictorially
 Figure (a)demonstrates the case where a handoff is not made and the signal drops below the minimum
acceptable level to keep the channel active.
 This dropped call event can happen when there is an excessive delay by the MSC in assigning a handoff, or
when the threshold ∆ is set too small for the handoff time in the system.
 Excessive delays may occur during high traffic conditions due to computational loading at the MSC or due
to the fact that no channels are available on any of the nearby base stations (thus forcing the MSC to wait
until a channel in a nearby cell becomes free).
 Hand off is made when the received signal at the BS falls below a pre-specified threshold.
 In deciding when to handoff, it is important to ensure that the drop in the measured signal level is not due to
momentary fading and that the mobile is actually moving away from the serving base station.
 In order to ensure this, the base station monitors the signal level for a certain period of time before a handoff is
initiated. This running average measurement of signal strength should be optimized so that unnecessary handoffs
are avoided, while ensuring that necessary handoffs are completed before a call is terminated due to poor signal
level.
 The length of time needed to decide if a handoff is necessary depends on the speed at which the vehicle is moving.
If the slope of the short-term average received signal level in a given time interval is steep, the handoff should be
made quickly.
 Information about the vehicle speed, which can be useful in handoff decisions, can also be computed from the
statistics of the received short-term fading signal at the base station.
 The time over which a call may be maintained within a cell, without handoff, is called the dwell time.
 The dwell time of a particular user is governed by a number of factors, which include propagation, interference,
distance between the subscriber and the base station, and other time varying effects.
 Even when a mobile user is stationary, ambient motion in the vicinity of the base station and the mobile can produce
fading, thus even a stationary subscriber may have a random and finite dwell time.
 Analysis indicates that the statistics of dwell time vary greatly, depending on the speed of the user and the type of
radio coverage. For example, in mature cells which provide coverage for vehicular highway users, most users tend
to have a relatively constant speed and travel along fixed and well-defined paths with good radio coverage.
 In such instances, the dwell time for an arbitrary user is a random variable with a distribution that is highly
concentrated about the mean dwell time. On the other hand, for users in dense, cluttered microcell environments,
there is typically a large variation of dwell time about the mean, and the dwell times are typically shorter than the
cell geometry would otherwise suggest.
 It is apparent that the statistics of dwell time are important in the practical design of handoff algorithms
HANDOFF STRATEGIES
 In the first generation Analog cellular system the signal strength measurement are made by BS
and are supervised by the MSC.
 Each base station constantly monitors the signal strengths of all of its reverse voice channels to
determine the relative location of each mobile user with respect to the base station tower.
 In addition to measuring the RSSI of calls in progress within the cell, a spare receiver in each
base station, called the locator receiver, is used to determine signal strengths of mobile users
which are in neighboring cells.
 The locator receiver is controlled by the MSC and is used to monitor the signal strength of users
in neighboring cells which appear to be in need of handoff and reports all RSSI values to the
MSC.
 Based on the locator receiver signal strength information from each base station, the MSC
decides if a handoff is necessary or not.
 In the second generation systems that use TDMA technology , Mobile Assisted HandOff MAHO are used.
 In MAHO every MS measures the received power from the surrounding BS and continually report these values to
the serving BS.
 Handoff is initiated when the power received from the base station of a neighboring cell begins to exceed the power
received from the current base station by a certain level or for a certain period of time.
 The MAHO method enables the call to be handed over between base stations at a much faster rate than in first
generation analog systems since the handoff measurements are made by each mobile, and the MSC no longer
constantly monitors signal strengths.
 MAHO is particularly suited for microcellular environments where handoffs are more frequent.
 During the course of a call, if a mobile moves from one cellular system to a different cellular system controlled by a
different MSC, an intersystem handoff becomes necessary
 An MSC engages in an intersystem handoff when a mobile signal becomes weak in a given cell and the MSC cannot
find another cell within its system to which it can transfer the call in progress.
 There are many issues that must be addressed when implementing an intersystem handoff. For instance, a local call
may become a long-distance call as the mobile moves out of its home system and becomes a roamer in a
neighboring system.
 Also, compatibility between the two MSCs must be determined before implementing an intersystem handoff.
Prioritizing Handoffs
 One method for giving priority to handoffs is called the guard channel concept, whereby a fraction
of the total available channels in a cell is reserved exclusively for handoff requests from ongoing
calls which may be handed off into the cell.
 This method has the disadvantage of reducing the total carried traffic, as fewer channels are
allocated to originating calls.
 Guard channels, however, offer efficient spectrum utilization when dynamic channel assignment
strategies, which minimize the number of required guard channels by efficient demand based
allocation, are used.
 Queuing of handoff requests is another method to decrease the probability of forced termination of a
call due to lack of available channels.
 There is a tradeoff between the decrease in probability of forced termination and total carried traffic.
Queuing of handoffs is possible due to the fact that there is a finite time interval between the time
the received signal level drops below the handoff threshold and the time the call is terminated due to
insufficient signal level.
 The delay time and size of the queue is determined from the traffic pattern of the particular service
area.
 It should be noted that queuing does not guarantee a zero probability of forced termination, since
large delays will cause the received signal level to drop below the minimum required level to
maintain communication and hence lead to forced termination.
Practical Handoff Considerations
 Many handoff strategies prioritize handoff requests over call initiation requests when allocating unused
channels in a cell site.
 Several schemes have been devised to handle the simultaneous traffic of high speed and low speed users
while minimizing the handoff intervention from the MSC.
 By using different antenna heights (often on the same building or tower) and different power levels, it is
possible to provide "large" and "small" cells which are co-located at a single location. This technique is
called the umbrella cell approach and is used to provide large area coverage to high speed users while
providing small area coverage to users traveling at low speeds.
 Figure illustrates an umbrella cell which is co-located with some smaller microcells. The umbrella cell
approach ensures that the number of handoffs is minimized for high speed users and provides additional
microcell channels for pedestrian users. The speed of each user may be estimated by the base station or
MSC by evaluating how rapidly the short term average signal strength on the RVC changes over time, or
more sophisticated algorithms may be used to evaluate and partition users [LiCS3]. If a high speed user in
the large umbrella cell is approaching the base station, and its velocity is rapidly decreasing, the base
station may decide to hand the user into the co-located microcell, without MSC intervention.
 Another practical handoff problem in microcell systems is known as cell dragging. Cell
dragging results from pedestrian users that provide a very strong signal to the base
station. Such a situation occurs in an urban environment when there is a line-of-sight
(LOS) radio path between the subscriber and the base station.
 As the user travels away from the base station at a very slow speed, the average signal
strength does not decay rapidly. Even when the user has traveled well beyond the
designed range of the cell, the received signal at the base station may be above the
handoff threshold, thus a handoff may not be made.
 This creates a potential interference and traffic management problem, since the user has
meanwhile traveled deep within a neighboring cell. To solve the cell dragging problem,
handoff thresholds and radio coverage parameters must be adjusted carefully
SOFT HANDOFF
 CDMA spread spectrum cellular system provides a unique hand off capability.
 Unlike channelized wireless systems that assign radio channels during a handoff (called hard
handoff) the spread spectrum Ms share the same channel in every cell.
 The term handoff here implies that a different Bs handles the radio communication task
 By simultaneously evaluating the received signals from a single subscriber at several
neighboring base stations, the MSC may actually decide which version of the user's signal is
best at any moment in time. This technique exploits macroscopic space diversity provided by
the different physical locations of the base stations and allows the MSC to make a "soft"
decision as to which version of the user's signal to pass along to the PSTN at any instance
 The ability to select between the instantaneous received signal from different BS is called soft
Hand off.
Interference and System Capacity
 Sources of interference include another mobile in the same cell, a call in progress in a neighboring
cell, other base stations operating in the same frequency band, or any noncellular system which
inadvertently leaks energy into the cellular frequency band.
 Interference on voice channels causes cross talk, where the subscriber hears interference in the
background due to an undesired transmission. On control channels, interference leads to missed
and blocked calls due to errors in the digital signaling.
 Interference is more severe in urban areas, due to the greater HF noise floor and the large number
of base stations and mobiles. Interference has been recognized as a major bottleneck in increasing
capacity and is often responsible for dropped calls.
 The two major types of system-generated cellular interference are co-channel interference and
adjacent channel interference. Even though interfering signals are often generated 'within the
cellular system, they are difficult to control in practice (due to random propagation effects). Even
more difficult to control is interference due to out-of-band users, which arises without warning due
to front end overload of subscriber equipment or intermittent intermodulation products.
 In practice, the transmitters from competing cellular carriers are often a significant source of out-
of-band interference, since competitors often locate their base stations in close proximity to one
another in order to provide comparable coverage to customers.
Co-channel Interference
 The interference between signals from cells that use the same set of frequencies(co-channel cells) is called co-
channel interference. Unlike thermal noise which can be overcome by increasing the signal-to noise ratio
(SNR), co-channel interference cannot be combated by increasing the carrier power of a transmitter This is
because an increase in carrier transmit power increases the interference to neighboring co-channel cells.
 To reduce co-channel interference, co-channel cells must be physically separated by a minimum distance to
provide sufficient isolation due to propagation. When the size of each cell is approximately the same, and the
base stations transmit the same power, the co-channel interference ratio is independent of the transmitted
power and becomes a function of the radius of the cell (R) and the distance between centers of the nearest co-
channel cells (D).
 By increasing the ratio of D/R, the spatial separation between co-channel cells relative to the coverage distance
of a cell is increased. Thus interference is reduced from improved isolation of HF energy from the co-channel
cell. The parameter Q, called the co-channel reuse ratio, is related to the cluster size. For a hexagonal geometry
 A small value of Q provides larger capacity since the cluster size N is small, whereas a large value of Q
improves the transmission quality, due to a smaller level of co-channel interference. A trade-off must be made
between these two objectives in actual cellular design.
Adjacent Channel Interference
 Interference resulting from signals which are adjacent in frequency to the desired signal is called adjacent
channel interference. Adjacent channel interference results from imperfect receiver filters which allow
nearby frequencies to leak into the passband.
 The problem can be particularly serious if an adjacent channel user is transmitting in very close range to a
subscriber's receiver, while the receiver attempts to receive a base station on the desired channel. This is
referred to as the near-far effect, where a nearby transmitter (which may or may not be of the same type as
that used by the cellular system) captures the receiver of the subscriber. Alternatively, the near-far effect
occurs when a mobile close to a base station transmits on a channel close to one being used by a weak
mobile. The base station may have difficulty in discriminating the desired mobile user from the "bleedover"
caused by the close adjacent channel mobile.
 Adjacent channel interference can be minimized through careful filtering and channel assignments. Since
each cell is given only a fraction of the available channels, a cell need not be assigned channels which are
all adjacent in frequency. By keeping the frequency separation between each channel in a given cell as
large as possible, the adjacent channel interference may be reduced considerably. Thus instead of assigning
channels which form a contiguous band of frequencies within a particular cell, channels are allocated such
that the frequency separation between channels in a given cell is maximized.
 By sequentially assigning successive channels in the frequency band to different cells, many channel
allocation schemes are able to separate adjacent channels in a cell by as many as N channel bandwidths,
where N is the cluster size. Some channel allocation schemes also prevent a secondary source of adjacent
channel interference by avoiding the use of adjacent channels in neighboring cell sites.
Power Control for Reducing Interference
 In practical cellular radio and personal communication systems the power levels
transmitted by every subscriber unit are under constant control by the serving base
stations.
 This is done to ensure that each mobile transmits the smallest power necessary to
maintain a good quality link on the reverse channel. Power control not only helps
prolong battery life for the subscriber unit, but also dramatically reduces the reverse
channel S/I in the system.
 Power control is especially important for emerging CDMA spread spectrum systems
that allow every user in every cell to share the same radio channel.
Improving Capacity In Cellular Systems
 As the demand for service increases, system designers have to provide more channels per unit
coverage area. Techniques such as cell splitting, sectoring, and coverage zone approaches are used in
practice to expand the capacity of cellular systems.
 Cell splitting allows an orderly growth of the cellular system.
 Sectoring uses directional antennas to further control the interference and frequency reuse of
channels.
 The zone microcell concept distributes the coverage of a cell and extends the cell boundary to hard-
to-reach places.
 While cell splitting increases the number of base stations in order to increase capacity, sectoring and
zone microcells rely on base station antenna placements to improve capacity by reducing co-channel
interference. Cell splitting and zone microcell techniques do not suffer the trunking inefficiencies
experienced by sectored cells, and enable the base station to oversee all handoff chores related to the
microcells, thus reducing the computational load at the MSC.
cell splitting
 It is the process of subdividing congested cells into smaller cells
 all of them have their own base stations.
 these base stations are not so high. the antennas are shorter and they also transmit less power.
 smaller cells, are also closer in terms of reuse distance, so we must correspondingly reduce the transmit
power. also as we increase the base station‟s height, we radiate to a longer distance. so we
correspondingly have to reduce the height of the antennas.
 splitting the cell reduces the cell size, thus more number of cells have to be used.
 more number of cells implies more number of clusters, more number of clusters implies more
number of channels because number of channels per cell is fixed and ultimately it leads to a higher
capacity.
 Cell splitting allows a system to grow by replacing large cells with smaller cells, while not upsetting
the channel allocation scheme required to maintain the minimum co-channel reuse ratio Q between
co-channel cells.
 cell splitting achieves capacity improvement by essentially rescaling the system. By decreasing the
cell radius R and keeping the co-channel reuse ratio D/R unchanged, cell splitting increases the
number of' channels per unit area
• As the demand was not so high, there were big cells, so large cell
in low density areas.
• smaller cells would imply greater capacity.
• cells are split to add channels with no new spectrum usage. we
have not requested for any additional bandwidth. the frequency is
being reused. The reuse pattern is the same.
• depending on the traffic pattern, the smaller cells may be
activated or deactivated in order to efficiently use cell resources.
• frequency planning requires a lot of effort and resource allocation
once it has been done, we cannot keep changing the frequency
reuse pattern but the demand keeps on growing at different places
at different rates. so cell splitting is a useful way to grow and
ensure more number of users can actually be accommodated
Sectoring
 Another way to increase capacity is to keep the cell radius R unchanged and seek methods to
decrease the D/R ratio.
 In this approach, capacity improvement is achieved by reducing the number of cells in a cluster and
thus increasing the frequency reuse. However, in order to do this, it is necessary to reduce the
relative interference without decreasing the transmit power.
 The technique for decreasing co-channel interference and thus increasing system capacity by using
directional antennas is called sectoring. The co-channel interference in a cellular system may be
decreased by replacing a single omni-directional antenna at the base station by several directional
antennas, each radiating within a specified sector.
 By using directional antennas, a given cell will transmit to and receive from only a fraction of the
available co-channel cells. Thus CCI is reduced
 The factor by which the co-channel interference is reduced depends on the amount of sectoring used.
A cell is normally partitioned into three 120 degree sectors, 4 90 degree or six 60° sectors as shown
in Figure
 When sectoring is employed, the channels used in a particular cell are broken down into sectored
groups and are used only within a particular sector, as illustrated in Figure.
Problems
 increase in the number of antennas at each base station. they are expensive.
they have to be maintained. they consume power.
 there is a decrease in the trunking efficiency. clearly when we subdivide a
cell into sectors and we are not asking for extra bandwidth, we are cutting
the pool in to smaller sub sections and each sector is using a part of the pie.
So individual trunking efficiency goes down.
 then we have the additional problem of increased number of hand offs. each
sector is being treated separately and when user move from one sector to
another, user have to be handed off.
 good news is many modern base stations support sectoring and the related
hand off without the help of the mobile switching centre. so sectoring can be
handled locally
Microcell zone
 in microcell zone we first divide a cell into microcells or zones. we are not doing any cell
splitting. we are conceptually dividing a cell firstly into 3 or more sub zones called microcells.
 each microcell or zone is connected to the same base station by using either a fiber optic link or
a microwave link.
 we have conceptually divided a cell into zones but we have not put a single base station in
every zone. otherwise it would become cell splitting. We only have one base station.
 each zone now uses a directional antenna. it‟s a concept borrowed from the sectoring part. as a
mobile travels from one zone to another, it retains the same channel because we were all the
time communicating with only one base station.
 every zone is communicating with one common base station. so the channel assignment is
done by the base station and it retains the channel and the mobile subscriber doesn‟t have to
hand off when going from one zone to another zone. the base station simply switches the
channel to the next zone site.

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Elements of wireless communication_2nd unit.pptx

  • 1. UNIT- II Mrs. Chetna Sinha Assistant Professor GECRaipur
  • 2. Elements of wireless communication  Base Station : A fixed station in a mobile radio system used for radio communication with mobile stations. BS are located at the center or on the edge of a coverage region and consist of radio channels and transmitter and receiver antennas mounted on a tower.  Control Channel : Radio channels used for transmission of call setup, call request, call initiation, and other beacon or control purposes.  Forward Channel : Radio channel used for transmission of information from the BS to the mobile.  Handoff : The process of transferring a Mobile Station from one channel or BS to another.  Mobile Station : A station in the cellular radio service intended for use while in motion at unspecified locations. Mobile stations may be hand-held personal units (portables) or installed in vehicles (mobiles).  MSC : Switching centre which coordinates the routing of calls in a large service area. In a cellular radio system, the MSC connects the cellular base stations and the mobiles to the PSTN. An MSC is also called a mobile telephone switching office (MTSO).  Page : A brief message which is broadcast over the entire service area, usually in a simulcast fashion by many base stations at the same time.  Reverse Channel : Radio channel used for transmission of information from the mobile to base station.  Roamer : A mobile station which operates in a service area (market) other than that from which service has been subscribed.  Subscriber : A user who pays subscription charges for using a mobile communications system.  Transceiver : A device capable of simultaneously transmitting and receiving radio signals.
  • 3. Cellular Telephone systems Reuse channels to maximize capacity  Geographic region divided into cells  Frequencies/timeslots/codes reused at spatially separated locations  Base stations/Mobile Telephone Switching Offices (MTSOs) coordinate handoff and control functions  It provides a wireless connection to the PSTN for any user location within the radio range of the system.  Cellular systems accommodate a large number of users over a large geographic area, within a limited frequency spectrum.  High capacity is achieved by limiting the coverage of each BS transmitter to a small geographic area called a cell so that the same radio channels may be reused by another base station located some distance away.  A sophisticated switching technique called a handoff enables a call to proceed uninterrupted when the user moves from one cell to another.
  • 4. Cellular Telephone systems Provide connection to the PSTN for any user location within the radio range of the system. Characteristic – Large number of users – Large Geographic area – Limited frequency spectrum – Reuse of the radio frequency by the concept of “cell’’. • Basic cellular system: mobile stations, base stations, and mobile switching center.
  • 5.  Each base station is allocated a portion of the total number of channels available to the entire system,  Nearby base stations are assigned different groups of channels so that all the available channels are assigned to a relatively small number of neighboring base stations.  The interference between base stations (and the mobile users under their control) is minimized.  By systematically spacing base stations and their channel groups throughout a market, the available channels are distributed throughout the geographic region and may be reused as many times as necessary, so long as the interference between co-channel stations is kept below acceptable levels.  As the demand for service increases (i.e., as more channels are needed within a particular market), the number of base stations may be increased (along with a corresponding decrease in transmitter power to avoid added interference), thereby providing additional radio capacity with no additional increase in radio spectrum.  Principle: A fixed number of channels serve an arbitrarily large number of subscribers by reusing the channels throughout the coverage region. Furthermore, the cellular concept allows every piece of subscriber equipment within a country or continent to be manufactured with the same set of channels, so that any mobile may be used anywhere within the region.
  • 6.  Each mobile communicates via radio with one of the base stations and may be handed off to any number of base stations throughout the duration of a call.  The mobile station contains a transceiver, an antenna, and control circuitry, and may be mounted in a vehicle or used as a portable hand-held unit.  The base stations consist of several transmitters and receivers which simultaneously handle full duplex communications and generally have towers which support several transmitting and receiving antennas.  The base station serves as a bridge between all mobile users in the cell and connects the simultaneous mobile calls via telephone lines or microwave links to the MSC.  The MSC coordinates the activities of all of the base stations and connects the entire cellular system to the PSTN. A typical MSC handles 100,000 cellular subscribers and 5,000 simultaneous conversations at a time, and accommodates all billing and system maintenance functions, as well. In large cities, several MSCs are used by a single carrier.
  • 7. Communication between the base station and mobiles is defined by the standard common air interface (CAI)  – Forward voice channel (FVC): voice transmission from base station to mobile  – Reverse voice channel (RVC): voice transmission from mobile to base station  – Forward control channels (FCC): initiating mobile call from base station to mobile  – Reverse control channel (RCC): initiating mobile call from mobile to base station
  • 8. Communication between BS & mobiles - common air interface (CAI)  The two channels responsible for initiating mobile calls are the forward control channels (FCC) and reverse control channels (RCC). Control channels are often called setup channels because they are only involved in setting up a call and moving it to an unused voice channel.  Control channels transmit and receive data messages that carry call initiation and service requests, and are monitored by mobiles when they do not have a call in progress.  Forward control channels also serve as beacons which continually broadcast all of the traffic requests for all mobiles in the system  supervisory and data messages are sent in a number of ways to facilitate automatic channel changes and handoff instructions for the mobiles before and during a call.  In a certain bandwidth, part of that bandwidth is used for control applications and the remainder of the bandwidth is used for traffic which is useful for actually sending the data.  So if a base station needs to communicate with a mobile, there could be a downlink or the forward channel which carries the traffic which is actually userr voice or data. But to ensure that this traffic channel works perfectly, we need to set it up using a control channel. This is also a forward channel.  The mobile station must also communicate by setting up a channel using a control channel called reverse control channel. This is called the uplink and once the channel is set up, user communicate the data using a traffic channel called the uplink traffic channel or the reverse link.
  • 9. How a cellular telephone call is made  The control channels are defined and standardized over the entire geographic area covered and typically make up about 5% of the total number of channels available in the system (the other 95% are dedicated to voice and data traffic for the end-users).  When a cellular phone is turned on, but is not yet engaged in a call, it first scans the group of forward control channels to determine the one with the strongest signal, and then monitors that control channel until the signal drops below a usable level.  It also scans the control channels in search of the strongest base station signal.  Since the control channels are standardized and are identical throughout different markets within the country or continent, every phone, scans the same channels while idle.  When a telephone call is placed to a mobile user, the MSC dispatches the request to all base stations in the cellular system.  The mobile identification number which is a characteristic of that mobile station is being broadcast. It is unique to that mobile. This number may not be the same as the phone number. It‟s another code.  The mobile receives the MIN as a paging message over the FCC sent by the base station which it monitors, and responds by identifying itself over the RCC.  The base station relays the acknowledgment sent by the mobile and informs the MSC of the handshake. Then, the MSC instructs the base station to move the call to an unused voice channel within the cell (typically, between ten to sixty voice channels and just one control channel are used in each cell's base station).  At this point the base station signals the mobile to change frequencies to an unused forward and reverse voice channel pair, at which point another data message (called an alert) is transmitted over the forward voice channel to instruct the mobile telephone to ring, thereby instructing the mobile user to answer the phone.  Figure shows the sequence of events involved with connecting a call to a mobile user in a cellular telephone system. All of these events occur within a few seconds and are not noticeable by the user.
  • 10. Scans group of FCC to find strongest signal & strongest base station signal Phone turned ON, not engaged in call Monitors that CC until signal drops below usable level
  • 11. Timing diagram to illustrate how call to mobile user by a landline subscriber is established MSC Receives call from PSTN. Sends the requested MIN to all BS Verifies that the mobile has a valid MIN, ESN pair Instructs BS to move call to unused voice channel pair within the cell Connects the mobile with the calling party on PSTN Base Station FCC Transmits page (MIN) for specified user Signals mobile to change frequencies to unused FVC & RVC, RCC Receives MIN, ESN, Station Class Mark and informs MSC of handshake FVC data msg(alert) to instruct mobile to ring Begin voice transmission RVC Begin voice reception Mobile FCC Receives page and matches the MIN with its own MIN Receives data msgs to move to specified voice channel RCC Acknowledges receipt of MIN & sends ESN & station class Mark FVC Begin voice reception RVC Begin voice transmission
  • 12. Timing diagram to illustrate how call initiated by a mobile is established MSC Receives a call initiation request from base station & verifies the mobile has valid MIN, ESN pair Instructs FCC of originating BS to move mobile to a pair of voice channels Connects the mobile with the called party on PSTN Base Station FCC Page for called mobile, instructing it to move to voice channel RCC Receives a call initiation request , MIN, ESN, & telephone no. of called party, SCM FVC Begin voice transmission RVC Begin voice reception Mobile FCC Receives page & matches MIN with its own MIN, and receives instruction to move to voice channel RCC Sends a call initiation request along with its MIN, ESN, & telephone no. of called party, SCM FVC Begin voice reception RVC Begin voice transmission
  • 13. Roaming  This allows subscribers to operate in service areas other than the one from which service is subscribed.  When a mobile enters a city or geographic area that is different from its home service area, it is registered as a roamer in the new service area.  This is accomplished over the FCC, since each roamer is camped on to a FCC at all times. Every several minutes, the MSC issues a global command over each FCC in the system, asking for all mobiles which are previously unregistered to report their MIN and ESN over the RCC.  New unregistered mobiles in the system periodically report back their subscriber information upon receiving the registration request, and the MSC then uses the MIN/ESN data to request billing status from the home location register (HLR) for each roaming mobile.  If a particular roamer has roaming authorization for billing purposes, the MSC registers the subscriber as a valid roamer.  Once registered, roaming mobiles are allowed to receive and place calls from that area, and billing is routed automatically to the subscriber's home service provider.
  • 14. Frequency Reuse : the Need  Fixed telephone networks run wires to every household  Suppose we would like to give every household in Raipur a voice bandwidth so they can talk. So we need to give about 4 KHz of spectrum but the number of households in Raipur is about 5 million.  5million households * 4KHz spectrum is 20GHz of bandwidth.  Clearly impractical,  No other service is possible using radio transmission. If we have to provide additional data, allow users to check their emails over the phone, downloads stock codes and cricket commentary, we are out of business.  Most of the spectrum will remain unused most of the time.  If there is a phone line connection, adaptive reallocation is not possible. So clearly there is a need to do frequency reuse.
  • 15. Frequency Reuse  Cellular radio systems rely on intelligent allocation and reuse of channels throughout the coverage area.  Each base station is allocated a group of radio channels to be used within the small geographic area which is defined as a cell.  So it is not just a frequency but a frequency band.  Neighboring base stations are given different channel allocation from each other to avoid interference.  The biggest problem with frequency reuse is manmade noise or interference. If we reuse the same frequency for transmitting data at a distance, we will definitely get some stray interfering signals. Since they are exactly in the same band and we cannot use a filter to filter it out because data is also in the same band.  Performance cannot be improved by simply increasing the signal to noise ratio. If we increase signal strength to beat the noise, it will also create more interference for neighbouring cell because the frequency is being reused. Cellular networks must have an efficient power control mechanism. GSM phone monitors the transmit power level 800 times/ sec.
  • 16. Frequency Reuse  The base station antennas are designed to achieve the desired coverage within the particular cell.  By limiting the coverage area to within the boundaries of a cell, the same group of channels may be used to cover different cells that are separated from one another by distances large enough to keep interference levels within tolerable limits.  However the farther we put the co-channel cell, the less frequently we reuse the frequency, the less capacity we can have. so that is the tradeoff between how much capacity we can pack in in terms of closely putting the reuse factors and then we reuse the frequency as and when it is desired.  The design process of selecting and allocating channel groups for all of the cellular base stations within a system is called frequency reuse or frequency planning.  In concept of cellular frequency reuse, cells labeled with the same letter use the same group of channels. The frequency reuse plan is overlaid upon a map to indicate where different frequency channels are used.  The hexagonal shape and non-overlapping cell shown in Figure is conceptual and is a simplistic model of the radio coverage for each base station, but it has been universally adopted since the hexagon permits easy and manageable analysis of a cellular system.  The actual radio coverage of a cell is known as the footprint and is determined from field measurements or propagation prediction models.  real footprint is amorphous in nature, a regular cell shape is needed for systematic system design and adaptation for future growth.
  • 17.  The entire space is filled by adding more hexagonal cells. This is a cluster of 7 cells, each one represented by a different color and each color represents a different frequency band.  The user of adjacent cells are not interfering because they are using different frequency bands and are not going to interfere. And this cluster is replicated all over the geographical area.  The distance between this two blues is the same as light green with this light green . So the reuse distance is the same.  It is interesting to note that we cannot have any random number of cells in the cluster. Again note that the distance between the green cells here are the co-channel cells. It is the same between any cluster. No frequency band is being discriminated. All frequency bands are going to suffer through the same co-channel interference levels.
  • 18. Questions?  Why should the distance be same?  Suppose user take a cell, rotate it and keep it, then certain cells will have more distance and certain cells will have less distance. Certain group of cells will have poor quality of service because of interference because distance will attenuate the radiations coming from a co-channel cell. If the distance is fixed and pre-calculated, then we know how much interference we are dealing with. Therefore, the distance should be same to guarantee a certain level of affordable co-channel interference.  If we have this cluster size smaller, say a cluster of 4, then the reuse distance will go down and the capacity will go up. Therefore, there is tradeoff between the co channel interference and the reuse distance. So cells with the same color in this diagram reflect same frequencies. In this example we have used a reuse factor of 1/7.  When we switch on a mobile phone and we want to initiate a call which frequency do we choose?  Suppose mobile phone is in this light green cell and it is switched on, it has only a set of frequencies with which it can communicate to this base station. The mobile has a possibility to use any of the frequencies in all the cells. But which particular reverse channel will it use will be dictated by the base station and eventually through the mobile switching center. But the base station in this region would communicate using a frequency band represented by green and tomorrow if the MS wishes to move to the purple cell or to the orange cell; it will choose the frequency sub-band depending upon the channels available, the frequencies available and allocated.  suppose a base station can only support these green frequencies while the mobile station moves from green to the purple cell, a handover will take place not only to the base station but a new channel will be given which is nothing but a new frequency. all the light green cells form the co-channel cells. Similarly all the purple cells are co-channel cells and will interfere
  • 19. Cell Shape  a base station which will radiate.now if it is in omnidirectional radiation, we would have a circular cell.it‟s ideal.in reality we would not like to have it for several reasons.  I would like to do system planning and cover my entire area of interest using circular cells. I can do so but the problem with putting circular cells for coverage is that user are left with these empty spaces where I cannot predict any coverage. It‟s clearly a bad modeling as a mobile system service provided I must be able to give 99.99 % coverage if not 100 %.  Clearly, triangle is a poor approximation of a circle. So in order to maintain close contact with reality I come up with another cell shape called the square cell.it also has a property to cover the entire geographical region without leaving open spaces. It also approximates the circle but in a poor manner.  So in a quest to come up with a cell shape which approximates the circular ideal shape but is not completely counter intuitive, we go to the next possible shape which is the hexagonal cell.
  • 20.  Hexagon has largest area inside circle compared to square and triangle  Using a hexagonal geometry, fewest numbers of cells can cover the entire geographical region as opposed to square cell or a triangle cell  In practice, the shape of each cell depends on the transmitter radiation pattern and terrain topography  For most theoretical treatment, hexagonal model of cells is adopted because they are shapes that approximates a circle.  So let‟s stick with hexagonal cells and user will find it in most textbooks and research papers that they are using hexagonal cells.
  • 21.  A cell must be designed to serve the weakest mobiles within the footprint, and these are typically located at the edge of the cell. For a given distance between the center of a polygon and its farthest perimeter points, the hexagon has the largest area of the three.  Thus, by using the hexagon geometry the fewest number of cells can cover a geographic region, and the hexagon closely approximates a circular radiation pattern which would occur for an omni-directional base station antenna and free space propagation.  When using hexagons to model coverage areas, base station transmitters are depicted as either being in the center of the cell (center-excited cells) or on three of the six cell vertices (edge- excited cells).  Normally, omni-directional antennas are used in center-excited cells and sectored directional antennas are used in corner-excited cells. Practical considerations usually do not allow base stations to be placed exactly as they appear in the hexagonal lausert.
  • 22.  When taking u-v axis, we don‟t have to count fractional amounts of hexagons as we go along any axis. The u-v axis is separated by 60 degrees.  We would like to count hexagons after what is a reuse distance. we would like to quantify that number in terms of the cell radius.  So the cell radius R is the same as the length of a side of a hexagon. I would like to count the distance in terms of the cell radius. How many units are there? How many radii do I move from one cell to other? So it will be a normalized unit. If I would like to measure the distance between two co-channel cells D, I want to quote it in terms of this number R which is the cell radius and the length of the side of a cell.
  • 23.  N is number of cells in a cluster. The value for N is a function of how much interference a mobile or base station can tolerate while maintaining a sufficient quality of communications. From a design viewpoint, the smallest possible value of N is desirable in order to maximize capacity over a given coverage area (i.e.. to maximize C ). The frequency reuse factor of a cellular system is given by 1/N, since each cell within a cluster is only assigned 1/N of the total available channels in the system.  Due to the fact that the hexagonal geometry has exactly six equidistant neighbors and that the lines joining the centers of any cell and each of its neighbors are separated by multiples of 60 degrees, there are only certain cluster sizes and cell lauserts which are possible.  In order to connect without gaps between adjacent cells — the geometry of hexagons is such that the number of cells per cluster, N, can only have values which satisfy equation  𝑁 = 𝑖2 + 𝑖𝑗 + 𝑗2 , where i and j are non-negative integers.  To find the nearest co-channel neighbors of a particular cell, (1) move i cells along any chain of hexagons and then (2) turn 60 degrees counter-clockwise and move / cells. E.g. for i = 3 and j = 2 (example, N = 19).  D is distance between co-channel cells in adjacent cluster=squareroot (N)
  • 24.
  • 25.
  • 26.
  • 27. Cell Capacity & Reuse  Consider a cellular system having total of S duplex channels. If each cell is allocated a group of k channels (k <S), and if the S channels are divided among N cells into unique and disjoint channel groups where each have the same number of channels, the total number of available radio channels can be expressed as S = kN  The N cells which collectively use the complete set of available frequencies is called a cluster. If a cluster is replicated M times within the system, the total number of duplex channels C, can be used as a measure of capacity and is given C = MkN = MS  the capacity of a cellular system is directly proportional to the number of times a cluster is replicated in a fixed service area. The factor N is called the cluster size and is typically equal to 4, 7, or 12.  If the cluster size N is reduced while the cell size is kept constant, more clusters are required to cover a given area and hence more capacity (a larger value of C) is achieved. i.e. N M and hence C  Conversely, a small cluster size (N less, higher capacity) indicates that co-channel cells are located much closer together hence large co-channel interference and low QoS i.e. Quality of service.
  • 28.  If a total of 30 MHz of bandwidth is allocated to a particular FDD cellular telephone system which uses two 25 kHz simplex channels to provide full duplex voice and control channels, compute the number of channels available per cell if a system uses (a) 4-cell reuse, (b) 7-cell reuse (c) 12-cell reuse. If 1 MHz of the allocated spectrum is dedicated to control channels, determine an equitable distribution of control channels and voice channels in each cell for each of the three systems  ans: Total bandwidth =33 MHz, Channel bandwidth = 25 khz x 2 simplex channels = 50 kHz/duplex channel, Total available channels = 30,000/50 = 600 channels  (a) For N= 4, total number of channels available per cell = 600/4 = 150 channels. (b) For N=7, total number of channels available per cell = 600/7 = 85 channels. (c) For N = 12, total number of channels available per cell = 600/12 = 50 channels.
  • 29.  A 1 MHz spectrum for control channels implies that there are 1000/50 = 20 control channels out of the 600 channels available. To evenly distribute the control and voice channels, simply allocate the same number of channels in each cell wherever possible. Here, the 600 channels must be evenly distributed to each cell within the cluster.  (a) For N = 4, (600-20)/4 =145 voice channels per cell. and 5 control channels In practice, however, each cell only needs a single control channel (the control channels have a greater reuse distance than the voice channels). Thus, one control channel and 145 voice channels would be assigned to each cell.  (b) For N = 7, (600-20)/7=82 voice channels per cell, 4 cells with 3 control channels and 82voice channels, 3 cells with 2 control channels and 82 voice channels could be allocated. In practice, however, each cell would have one control channel, four cells- 4vould have 81 voice channels, and three cells would have 82 voice channels.  (c) For N = 12, we can have 8 cells with 2 control channels and 48 voice channels, and 4 cells with 1 control channel and 49 voice channels each. In an actual system, each cell would have 1 control channel, 8 cells would have 48 voice channels, and 4 cells would have 49 voice channels.
  • 30. Traffic Theory  how many calls can be handled,  how many users can we support,  how many calls will get blocked,  how many calls will get delayed etc.  all these are questions which will ultimately relate to the quality of service
  • 31. Definitions  Set up time: time required to allocate a radio channel to a requesting user.  there is a finite time that will lapse from the start of a request to user being actually granted the call.  the total number of users is much larger than the total available channels at any time since we believe that not everybody is going to talk at the same time. However, if someone request for a call to be setup, we give one of the available channel and for the entire duration of the time the user gets to use the channel. After the call is over, the channel is returned to the channel pool. this is the notion of trunking, a trunk which has several channels. It‟s a pool of channels which the users can request for and use if available.  Blocked Call: A call that cannot be completed at the time of request due to congestion (lost call). Lost call is lost revenue.  It means that sometimes when user make a request user may not be granted a channel. user may be blocked or user may have to wait. So they are two parameters. user may have a probability of blockage and a certain duration of wait before user actually get to use the channel. both this things are probabilistic and we have to estimate the time user have to wait or what is the probability of blocking that will take place.  holding time. : average duration of a typical call.  This holding time can be regulated by increasing or decreasing the cost per minute. So the mobile companies can actually play around with this holding time by changing the tariff. Today, usually the tariff is going down because of competition. So holding time is actually increasing.
  • 32.  Request Rate: It is the average number of calls per unit time usually represented by lambda  So the units could be number of calls per hour. Typically in an office environment, it could be 5 calls an hour. From home environment, it could be 2 calls an hour. If it is a call center, there may be 35 calls an hour or more. So lambda changes from circumstances to circumstances.  Traffic intensity: is defined as the measure of channel utilization time. It is measured in Erlangs.  Load: It is actually the traffic intensity across the entire radio system.  A channel kept busy for 1 hour is defined as having a load of one Erlang.  Grade Of Service (GoS) : A measure of congestion which is specified as a probability.  It depends on many things. it should depend on the number of users who were trying to make a call and how long they hold the call once they get connected.  So there are two kinds of probabilities  one is the probability of a call being blocked. if the service provider has designed his system for a higher probability of call blocking. However the design of the system for very stringent call blocking probability will require them to reserve too many channels.  The other probability is the probability of a call being delayed beyond a certain amount of time. If it is beyond a certain amount of time, the user will also lose patience and probably give up trying to make the call. It is bad business strategy. So we have two kinds of charts and associated formulae.  One is called the Erlang B formula and the associated Erlang B chart and the Erlang C formula and Erlang C chart which tells us directly and quickly what are the probabilities, the number of channels available and the load.  The Probability of call being Blocked (Erlang B).  The probability of call being delayed beyond a certain amount of time (Erlang C).
  • 33. Trunking  The concept of trunking allows a large number of users to share the relatively small number of channels in a cell by providing access to each user, on demand, from a pool of available channels. In a trunked radio system, each user is allocated a channel on a per call basis, and upon termination of the call, the previously occupied channel is immediately returned to the pool of available channels.  Trunking exploits the statistical behavior of users so that a fixed number of channels or circuits may accommodate a large, random user community.  In a trunked mobile radio system, when a particular user requests service and all of the radio channels are already in use, the user is blocked, or denied access to the system. In some systems, a queue may be used to hold the requesting users until a channel becomes available.  One Erlang represents the amount of traffic intensity carried by a channel that is completely occupied (i.e. 1 call-hour per hour or 1 call-minute per minute). For example, a radio channel that is occupied for thirty minutes during an hour carries 0.5 Erlangs of traffic.  The grade of service (GOS) is a measure of the ability of a user to access a trunked system during the busiest hour.  The grade of service is a benchmark used to define the desired performance of a particular trunked system by specifying a desired likelihood of a user obtaining channel access given a specific number of channels available in the system. It is the wireless designer's job to estimate the maximum required capacity and to allocate the proper number of channels in order to meet the GoS. GOS is typically given as the likelihood that a call is blocked, or the likelihood of a call experiencing a delay greater than a certain queuing time
  • 34. GoS  The traffic intensity offered by each user is equal to the call request rate multiplied by the holding time. That is, each user generates a traffic intensity of Au Erlangs given by Au= Traffic per user= lambda * H  where H is the average duration of a call and lambda is the average number of call requests per unit time.  For a system containing U users and an unspecified number of channels, the total offered traffic intensity A, is given as  A=Au U  In a C channel trunked system, if the traffic is equally distributed among the channels, then the traffic intensity per channel,Ac, is given as  Ac= traffic intensity per channel= U Au/C
  • 35.  There are two types of trunked systems which are commonly used.  The first type offers no queuing for call requests. That is, for every user who requests service, it is assumed there is no setup time and the user is given immediate access to a channel if one is available. If no channels are available, the requesting user is blocked without access and is free to try again later. This type of trunking is called blocked calls cleared and assumes that calls arrive as determined by' a Poisson distribution.  Furthermore, it is assumed that there are an infinite number of users as well as the following:  (a) there are memoryless arrivals of requests, implying that all users, including blocked users, may request a channel at any time;  (b) the probability of a user occupying a channel is exponentially distributed, so that longer calls are less likely to occur as described by an exponential distribution; and  (c) there are a finite number of channels available in the trunking pool. This is known as an M/M/m queue, and leads to the derivation of the Erlang B formula (also known as the blocked calls cleared formula).  The Erlang B formula determines the probability that a call is blocked and is a measure of the GOS for a trunked system which provides no queuing for blocked calls. The Erlang B formula is derived in Appendix A and is given by  where C is the number of trunked channels offered by a trunked radio system and A is the total offered traffic.
  • 36.
  • 37.  The second kind of trunked system is one in which a queue is provided to hold calls which are blocked. If a channel is not available immediately, the call request may be delayed until a channel becomes available. This type of trunking is called Blocked Calls Delayed, and its measure of GOS is defined as the probability that a call is blocked after waiting a specific length of time in the queue.  To find the GOS, it is first necessary to find the likelihood that a call is initially denied access to the system. The likelihood of a call not having immediate access to a channel is determined by the Erlang C formula
  • 38. The Erlang C chart showing probability of delay Vs traffic intensity
  • 39. Traffic Theory  Average no of MSs requesting service (request/time)  Average arrival rate= ʎ  Average time for which MS requires service  Average Hold time= T  Offered load a= ʎ T (Erlangs)  E.g, In a cell with 100 MSs on an average 30 requests are generated during an hour (3600 sec) with average hold time T=360 seconds (6 minutes)  Then arrival rate ʎ= 30/3600 request/sec.  A channel kept busy for one hour is defined as one Erlang  Offered load
  • 40.  Average arrival rate during a short interval t is given by ʎt .  Assuming Poison Distribution of service request the probability P(n,t) for n calls to arrive in an interval of length t is given by  Assuming µ to be the service rate, probability of each call to terminate during interval t is given by µ t.  Thus probability of given call requires service of each time t or less is given by
  • 42.  Efficiency is being defined as the traffic which is non-blocked and divided by the capacity.  Clearly it is how many calls that I can handle divided by the theoretical limit of the number of calls that is possible to handle. It is nothing but Erlangs into the portion of non-routed traffic divided by the number of trunks.  word trunks signifies a cluster of channels. The trunking theory essentially realize that the number of users is much larger than the total number of channels available in the trunk. So trunk is a bunch of channels..
  • 43. TRAFFIC THEORY (Example 1)  Consider a cell with S=2 channels , 100 mobile stations , Generating on an average 30 requests/hour , Average holding timeT=360 seconds (6 minutes)  Load a= (30 × 6)/60 = 3 Erlangs  Blocking Probability B(S , a)=0.53  Total number of rerouted calls =30 × 0.53=16  Efficiency =3(1-0.53)/2=0.7  3 Erlangs is the traffic being generated in this small cell but a very ambitious kind of an environment with 100 users requesting30 calls per hour.  So if we put these numbers where S =2 and a =3 in Erlang B formula, the blocking probability obtained is 0.53. So more than half the calls will be blocked.  if 100 people are generating 30 calls an hour but there only two channels and the key factor is each call lasts only 6 minutes, then probabilistically just over a little half the calls are being blocked. So whatever calls are being blocked will have to be rerouted. So the total number of rerouted calls is 30 per hour times 0.53= 16 calls per hour have to be rerouted.  Efficiency is a load *( 1- the blocking probability) divided by the total number of channels available which is equal to 0.7.  So in this 2 channel cell, we still have an efficiency of 0.7. this is not economically viable. Nobody will accept this kind of a service. Please remember to take this efficiency from 0.7 to 0.8, it will require user to have some more additional channels. To take it from 0.8 to 0.9, it will require user to do a much more effort. For taking it from 0.9 to 0.99, it will take user a lot more effort. So taking to that closer to 100% efficiency requires a lot of effort.
  • 44.
  • 45.  What is rerouting a call?
  • 46. Channel assignment strategy  A scheme for increasing capacity and minimizing interference is required  Channel assignment strategies can be classified as either fixed or dynamic.  The choice of channel assignment strategy impacts the performance of the system, how a call is managed when a mobile user is hand off from one cell to another cell
  • 47. Channel assignment strategy  Fixed & dynamic  Fixed channel assignment strategy- each cell is allocated a predetermined set of voice channels. Any call attempt within the cell can only be served by the unused channels in that particular cell.  If all the channels in that cell are occupied, the call is blocked and the subscriber does not receive service.  Borrowing strategy- a cell is allowed to borrow channels from a neighboring cell if all of its own channels are already occupied. The mobile switching center (MSC) supervises such borrowing procedures and ensures that the borrowing of a channel does not disrupt or interfere with any of the calls in progress in the donor cell.
  • 48. Dynamic channel assignment strategy  Voice channels are not allocated to different cells permanently. Each time a call request is made, the serving base station requests a channel from the MSC.  The switch then allocates a channel to the requested cell following an algorithm that takes into account  the likelihood of future blocking within the cell,  the frequency of use of the candidate channel,  the reuse distance of the channel,  and other cost functions.  To ensure the minimum QoS, the MSC only allocates a given frequency if that frequency is not presently in use in the cell or any other cell which falls within the minimum restricted distance of frequency reuse to avoid co-channel interference.  Dynamic channel assignment reduce the likelihood of blocking, which increases the trunking capacity of the system, since all the available channels in a market are accessible to all of the cells.  Dynamic channel assignment strategies require the MSC to collect real-time data on channel occupancy, traffic distribution, and radio signal strength indications (RSSI) of all channels on a continuous basis.  This increases the storage and computational load on the system but provides the advantage of increased channel utilization and decreased probability of a blocked call.
  • 49. Handoff strategies  When a mobile moves into a different cell while a conversation is in progress, the MSC automatically transfers the call to a new channel belonging to the new base station.  This handoff operation involves identifying a new base station, and allocation of the voice and control channels associated with the new base station.  Handoffs must be performed successfully and as infrequently as possible, and be imperceptible to the users.  In order to meet these requirements, system designers must specify an optimum signal level at which to initiate a handoff.  Once a particular signal level is specified as the minimum usable signal for acceptable voice quality at the base station receiver (normally taken as between —90 dBm and —100 dBm), a slightly stronger signal level is used as a threshold at which a handoff is made.  This margin is given by ∆= 𝑃𝑟 ℎ𝑎𝑛𝑑𝑜𝑓𝑓 − 𝑃𝑟 𝑚𝑖𝑛𝑖𝑚𝑢𝑚 𝑢𝑠𝑎𝑏𝑙𝑒 cannot be too large or too small.  If ∆ is too large, unnecessary handoffs which burden the MSC may occur, and if ∆ is too small, there may be insufficient time to complete a handoff before a call is lost due to weak signal conditions. Therefore, ∆ is chosen carefully to meet these conflicting requirements.
  • 50. Hand off region  Hand off region pictorially
  • 51.
  • 52.  Figure (a)demonstrates the case where a handoff is not made and the signal drops below the minimum acceptable level to keep the channel active.  This dropped call event can happen when there is an excessive delay by the MSC in assigning a handoff, or when the threshold ∆ is set too small for the handoff time in the system.  Excessive delays may occur during high traffic conditions due to computational loading at the MSC or due to the fact that no channels are available on any of the nearby base stations (thus forcing the MSC to wait until a channel in a nearby cell becomes free).
  • 53.  Hand off is made when the received signal at the BS falls below a pre-specified threshold.  In deciding when to handoff, it is important to ensure that the drop in the measured signal level is not due to momentary fading and that the mobile is actually moving away from the serving base station.  In order to ensure this, the base station monitors the signal level for a certain period of time before a handoff is initiated. This running average measurement of signal strength should be optimized so that unnecessary handoffs are avoided, while ensuring that necessary handoffs are completed before a call is terminated due to poor signal level.  The length of time needed to decide if a handoff is necessary depends on the speed at which the vehicle is moving. If the slope of the short-term average received signal level in a given time interval is steep, the handoff should be made quickly.  Information about the vehicle speed, which can be useful in handoff decisions, can also be computed from the statistics of the received short-term fading signal at the base station.
  • 54.  The time over which a call may be maintained within a cell, without handoff, is called the dwell time.  The dwell time of a particular user is governed by a number of factors, which include propagation, interference, distance between the subscriber and the base station, and other time varying effects.  Even when a mobile user is stationary, ambient motion in the vicinity of the base station and the mobile can produce fading, thus even a stationary subscriber may have a random and finite dwell time.  Analysis indicates that the statistics of dwell time vary greatly, depending on the speed of the user and the type of radio coverage. For example, in mature cells which provide coverage for vehicular highway users, most users tend to have a relatively constant speed and travel along fixed and well-defined paths with good radio coverage.  In such instances, the dwell time for an arbitrary user is a random variable with a distribution that is highly concentrated about the mean dwell time. On the other hand, for users in dense, cluttered microcell environments, there is typically a large variation of dwell time about the mean, and the dwell times are typically shorter than the cell geometry would otherwise suggest.  It is apparent that the statistics of dwell time are important in the practical design of handoff algorithms
  • 55. HANDOFF STRATEGIES  In the first generation Analog cellular system the signal strength measurement are made by BS and are supervised by the MSC.  Each base station constantly monitors the signal strengths of all of its reverse voice channels to determine the relative location of each mobile user with respect to the base station tower.  In addition to measuring the RSSI of calls in progress within the cell, a spare receiver in each base station, called the locator receiver, is used to determine signal strengths of mobile users which are in neighboring cells.  The locator receiver is controlled by the MSC and is used to monitor the signal strength of users in neighboring cells which appear to be in need of handoff and reports all RSSI values to the MSC.  Based on the locator receiver signal strength information from each base station, the MSC decides if a handoff is necessary or not.
  • 56.  In the second generation systems that use TDMA technology , Mobile Assisted HandOff MAHO are used.  In MAHO every MS measures the received power from the surrounding BS and continually report these values to the serving BS.  Handoff is initiated when the power received from the base station of a neighboring cell begins to exceed the power received from the current base station by a certain level or for a certain period of time.  The MAHO method enables the call to be handed over between base stations at a much faster rate than in first generation analog systems since the handoff measurements are made by each mobile, and the MSC no longer constantly monitors signal strengths.  MAHO is particularly suited for microcellular environments where handoffs are more frequent.  During the course of a call, if a mobile moves from one cellular system to a different cellular system controlled by a different MSC, an intersystem handoff becomes necessary  An MSC engages in an intersystem handoff when a mobile signal becomes weak in a given cell and the MSC cannot find another cell within its system to which it can transfer the call in progress.  There are many issues that must be addressed when implementing an intersystem handoff. For instance, a local call may become a long-distance call as the mobile moves out of its home system and becomes a roamer in a neighboring system.  Also, compatibility between the two MSCs must be determined before implementing an intersystem handoff.
  • 57. Prioritizing Handoffs  One method for giving priority to handoffs is called the guard channel concept, whereby a fraction of the total available channels in a cell is reserved exclusively for handoff requests from ongoing calls which may be handed off into the cell.  This method has the disadvantage of reducing the total carried traffic, as fewer channels are allocated to originating calls.  Guard channels, however, offer efficient spectrum utilization when dynamic channel assignment strategies, which minimize the number of required guard channels by efficient demand based allocation, are used.  Queuing of handoff requests is another method to decrease the probability of forced termination of a call due to lack of available channels.  There is a tradeoff between the decrease in probability of forced termination and total carried traffic. Queuing of handoffs is possible due to the fact that there is a finite time interval between the time the received signal level drops below the handoff threshold and the time the call is terminated due to insufficient signal level.  The delay time and size of the queue is determined from the traffic pattern of the particular service area.  It should be noted that queuing does not guarantee a zero probability of forced termination, since large delays will cause the received signal level to drop below the minimum required level to maintain communication and hence lead to forced termination.
  • 58. Practical Handoff Considerations  Many handoff strategies prioritize handoff requests over call initiation requests when allocating unused channels in a cell site.  Several schemes have been devised to handle the simultaneous traffic of high speed and low speed users while minimizing the handoff intervention from the MSC.  By using different antenna heights (often on the same building or tower) and different power levels, it is possible to provide "large" and "small" cells which are co-located at a single location. This technique is called the umbrella cell approach and is used to provide large area coverage to high speed users while providing small area coverage to users traveling at low speeds.  Figure illustrates an umbrella cell which is co-located with some smaller microcells. The umbrella cell approach ensures that the number of handoffs is minimized for high speed users and provides additional microcell channels for pedestrian users. The speed of each user may be estimated by the base station or MSC by evaluating how rapidly the short term average signal strength on the RVC changes over time, or more sophisticated algorithms may be used to evaluate and partition users [LiCS3]. If a high speed user in the large umbrella cell is approaching the base station, and its velocity is rapidly decreasing, the base station may decide to hand the user into the co-located microcell, without MSC intervention.
  • 59.  Another practical handoff problem in microcell systems is known as cell dragging. Cell dragging results from pedestrian users that provide a very strong signal to the base station. Such a situation occurs in an urban environment when there is a line-of-sight (LOS) radio path between the subscriber and the base station.  As the user travels away from the base station at a very slow speed, the average signal strength does not decay rapidly. Even when the user has traveled well beyond the designed range of the cell, the received signal at the base station may be above the handoff threshold, thus a handoff may not be made.  This creates a potential interference and traffic management problem, since the user has meanwhile traveled deep within a neighboring cell. To solve the cell dragging problem, handoff thresholds and radio coverage parameters must be adjusted carefully
  • 60. SOFT HANDOFF  CDMA spread spectrum cellular system provides a unique hand off capability.  Unlike channelized wireless systems that assign radio channels during a handoff (called hard handoff) the spread spectrum Ms share the same channel in every cell.  The term handoff here implies that a different Bs handles the radio communication task  By simultaneously evaluating the received signals from a single subscriber at several neighboring base stations, the MSC may actually decide which version of the user's signal is best at any moment in time. This technique exploits macroscopic space diversity provided by the different physical locations of the base stations and allows the MSC to make a "soft" decision as to which version of the user's signal to pass along to the PSTN at any instance  The ability to select between the instantaneous received signal from different BS is called soft Hand off.
  • 61. Interference and System Capacity  Sources of interference include another mobile in the same cell, a call in progress in a neighboring cell, other base stations operating in the same frequency band, or any noncellular system which inadvertently leaks energy into the cellular frequency band.  Interference on voice channels causes cross talk, where the subscriber hears interference in the background due to an undesired transmission. On control channels, interference leads to missed and blocked calls due to errors in the digital signaling.  Interference is more severe in urban areas, due to the greater HF noise floor and the large number of base stations and mobiles. Interference has been recognized as a major bottleneck in increasing capacity and is often responsible for dropped calls.  The two major types of system-generated cellular interference are co-channel interference and adjacent channel interference. Even though interfering signals are often generated 'within the cellular system, they are difficult to control in practice (due to random propagation effects). Even more difficult to control is interference due to out-of-band users, which arises without warning due to front end overload of subscriber equipment or intermittent intermodulation products.  In practice, the transmitters from competing cellular carriers are often a significant source of out- of-band interference, since competitors often locate their base stations in close proximity to one another in order to provide comparable coverage to customers.
  • 62. Co-channel Interference  The interference between signals from cells that use the same set of frequencies(co-channel cells) is called co- channel interference. Unlike thermal noise which can be overcome by increasing the signal-to noise ratio (SNR), co-channel interference cannot be combated by increasing the carrier power of a transmitter This is because an increase in carrier transmit power increases the interference to neighboring co-channel cells.  To reduce co-channel interference, co-channel cells must be physically separated by a minimum distance to provide sufficient isolation due to propagation. When the size of each cell is approximately the same, and the base stations transmit the same power, the co-channel interference ratio is independent of the transmitted power and becomes a function of the radius of the cell (R) and the distance between centers of the nearest co- channel cells (D).  By increasing the ratio of D/R, the spatial separation between co-channel cells relative to the coverage distance of a cell is increased. Thus interference is reduced from improved isolation of HF energy from the co-channel cell. The parameter Q, called the co-channel reuse ratio, is related to the cluster size. For a hexagonal geometry  A small value of Q provides larger capacity since the cluster size N is small, whereas a large value of Q improves the transmission quality, due to a smaller level of co-channel interference. A trade-off must be made between these two objectives in actual cellular design.
  • 63. Adjacent Channel Interference  Interference resulting from signals which are adjacent in frequency to the desired signal is called adjacent channel interference. Adjacent channel interference results from imperfect receiver filters which allow nearby frequencies to leak into the passband.  The problem can be particularly serious if an adjacent channel user is transmitting in very close range to a subscriber's receiver, while the receiver attempts to receive a base station on the desired channel. This is referred to as the near-far effect, where a nearby transmitter (which may or may not be of the same type as that used by the cellular system) captures the receiver of the subscriber. Alternatively, the near-far effect occurs when a mobile close to a base station transmits on a channel close to one being used by a weak mobile. The base station may have difficulty in discriminating the desired mobile user from the "bleedover" caused by the close adjacent channel mobile.  Adjacent channel interference can be minimized through careful filtering and channel assignments. Since each cell is given only a fraction of the available channels, a cell need not be assigned channels which are all adjacent in frequency. By keeping the frequency separation between each channel in a given cell as large as possible, the adjacent channel interference may be reduced considerably. Thus instead of assigning channels which form a contiguous band of frequencies within a particular cell, channels are allocated such that the frequency separation between channels in a given cell is maximized.  By sequentially assigning successive channels in the frequency band to different cells, many channel allocation schemes are able to separate adjacent channels in a cell by as many as N channel bandwidths, where N is the cluster size. Some channel allocation schemes also prevent a secondary source of adjacent channel interference by avoiding the use of adjacent channels in neighboring cell sites.
  • 64. Power Control for Reducing Interference  In practical cellular radio and personal communication systems the power levels transmitted by every subscriber unit are under constant control by the serving base stations.  This is done to ensure that each mobile transmits the smallest power necessary to maintain a good quality link on the reverse channel. Power control not only helps prolong battery life for the subscriber unit, but also dramatically reduces the reverse channel S/I in the system.  Power control is especially important for emerging CDMA spread spectrum systems that allow every user in every cell to share the same radio channel.
  • 65. Improving Capacity In Cellular Systems  As the demand for service increases, system designers have to provide more channels per unit coverage area. Techniques such as cell splitting, sectoring, and coverage zone approaches are used in practice to expand the capacity of cellular systems.  Cell splitting allows an orderly growth of the cellular system.  Sectoring uses directional antennas to further control the interference and frequency reuse of channels.  The zone microcell concept distributes the coverage of a cell and extends the cell boundary to hard- to-reach places.  While cell splitting increases the number of base stations in order to increase capacity, sectoring and zone microcells rely on base station antenna placements to improve capacity by reducing co-channel interference. Cell splitting and zone microcell techniques do not suffer the trunking inefficiencies experienced by sectored cells, and enable the base station to oversee all handoff chores related to the microcells, thus reducing the computational load at the MSC.
  • 66. cell splitting  It is the process of subdividing congested cells into smaller cells  all of them have their own base stations.  these base stations are not so high. the antennas are shorter and they also transmit less power.  smaller cells, are also closer in terms of reuse distance, so we must correspondingly reduce the transmit power. also as we increase the base station‟s height, we radiate to a longer distance. so we correspondingly have to reduce the height of the antennas.  splitting the cell reduces the cell size, thus more number of cells have to be used.  more number of cells implies more number of clusters, more number of clusters implies more number of channels because number of channels per cell is fixed and ultimately it leads to a higher capacity.  Cell splitting allows a system to grow by replacing large cells with smaller cells, while not upsetting the channel allocation scheme required to maintain the minimum co-channel reuse ratio Q between co-channel cells.  cell splitting achieves capacity improvement by essentially rescaling the system. By decreasing the cell radius R and keeping the co-channel reuse ratio D/R unchanged, cell splitting increases the number of' channels per unit area
  • 67. • As the demand was not so high, there were big cells, so large cell in low density areas. • smaller cells would imply greater capacity. • cells are split to add channels with no new spectrum usage. we have not requested for any additional bandwidth. the frequency is being reused. The reuse pattern is the same. • depending on the traffic pattern, the smaller cells may be activated or deactivated in order to efficiently use cell resources. • frequency planning requires a lot of effort and resource allocation once it has been done, we cannot keep changing the frequency reuse pattern but the demand keeps on growing at different places at different rates. so cell splitting is a useful way to grow and ensure more number of users can actually be accommodated
  • 68. Sectoring  Another way to increase capacity is to keep the cell radius R unchanged and seek methods to decrease the D/R ratio.  In this approach, capacity improvement is achieved by reducing the number of cells in a cluster and thus increasing the frequency reuse. However, in order to do this, it is necessary to reduce the relative interference without decreasing the transmit power.  The technique for decreasing co-channel interference and thus increasing system capacity by using directional antennas is called sectoring. The co-channel interference in a cellular system may be decreased by replacing a single omni-directional antenna at the base station by several directional antennas, each radiating within a specified sector.  By using directional antennas, a given cell will transmit to and receive from only a fraction of the available co-channel cells. Thus CCI is reduced  The factor by which the co-channel interference is reduced depends on the amount of sectoring used. A cell is normally partitioned into three 120 degree sectors, 4 90 degree or six 60° sectors as shown in Figure  When sectoring is employed, the channels used in a particular cell are broken down into sectored groups and are used only within a particular sector, as illustrated in Figure.
  • 69. Problems  increase in the number of antennas at each base station. they are expensive. they have to be maintained. they consume power.  there is a decrease in the trunking efficiency. clearly when we subdivide a cell into sectors and we are not asking for extra bandwidth, we are cutting the pool in to smaller sub sections and each sector is using a part of the pie. So individual trunking efficiency goes down.  then we have the additional problem of increased number of hand offs. each sector is being treated separately and when user move from one sector to another, user have to be handed off.  good news is many modern base stations support sectoring and the related hand off without the help of the mobile switching centre. so sectoring can be handled locally
  • 70. Microcell zone  in microcell zone we first divide a cell into microcells or zones. we are not doing any cell splitting. we are conceptually dividing a cell firstly into 3 or more sub zones called microcells.  each microcell or zone is connected to the same base station by using either a fiber optic link or a microwave link.  we have conceptually divided a cell into zones but we have not put a single base station in every zone. otherwise it would become cell splitting. We only have one base station.  each zone now uses a directional antenna. it‟s a concept borrowed from the sectoring part. as a mobile travels from one zone to another, it retains the same channel because we were all the time communicating with only one base station.  every zone is communicating with one common base station. so the channel assignment is done by the base station and it retains the channel and the mobile subscriber doesn‟t have to hand off when going from one zone to another zone. the base station simply switches the channel to the next zone site.