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Multiple Access Techniques

     Multiple access schemes are used to allow many
     mobile users to share simultaneously a finite
     amount of radio spectrum.
     The sharing of spectrum is required to achieve
     high capacity by simultaneously allocating the
     available bandwidth (or the available amount of
     channels) to multiple users.
     For high quality communications, this must be
     done without severe degradation in the
     performance of the system.
1
Difference between multiplexing and multiple access




2
Multiple Access Techniques

        Multiple Access Techniques

          FDMA TDMA CDMA SDMA




3
Multiple Access (MA) Technologies
    used in Different Wireless Systems
    Cellular Systems          MA Technique
    AMPS ( Advanced Mobile    FDMA / FDD
    Phone system )
    GSM ( Global System for   TDMA / FDD
    Mobile )
    US DC ( U. S Digital      TDMA / FDD
    Cellular )
    JDC ( Japanese Digital    TDMA / FDD
    Cellular )

4
…Multiple Access (MA) Technologies
    used in Different Wireless Systems
    Cellular Systems        MA Technique
    DECT ( Digital          FDMA / FDD
    European Cordless
    Telephone )
    IS – 95 ( U.S Narrowband CDMA / FDD
    Spread Spectrum )




5
Frequency Division
    Multiple Access (FDMA)
           code    C1 C2 Cn



                              frequency


            time                   frequency
            C1       C2       Cn
6
Principles Of Operation

      Each user is allocated a unique frequency
      band or channel. These channels are
      assigned on demand to users who request
      service.
      In FDD, the channel has two frequencies –
      forward channel & reverse channel.




7
…Principles Of Operation

     During the period of the call, no other user
     can share the same frequency band.
     If the FDMA channel is not in use, then it
     sits idle and cannot be used by other users
     to increase or share capacity. This is a
     wasted resource.




8
Properties of FDMA
     The bandwidth of FDMA channels is narrow
     (30 KHz) since it supports only one call/
     carrier.
     FDMA systems have higher cost
            Costly band pass filters to eliminate
            spurious radiation
             Duplexers in both T/R increase
            subscriber costs

9
Number Of Channel Supported
     By FDMA System

          Bg                       Bg

               Bt − 2Bg    Bt
         N=
                 Bc
         Bg → GuardBand
         Bc → ChannelBandwidth
10
Example
     In the US, each cellular carrier is allocated 416
     channels,

      Bt = 12.5MHz
      Bg = 10KHz
      Bc = 30KHz
         (12.5 × 106 ) − 2(10 × 103 ) 
                                       = 416
      N=
                   30 × 10 3

11
Time Division
     Multiple Access (TDMA)
            code
              C1
           Cn
                              frequency


             time                  time
             C1       C2      Cn
12
Principles Of Operation
       TDMA systems divide the radio spectrum
       into time slots and each user is allowed to
       either transmit or receive in each time slots.
       Each user occupies a cyclically repeating
       time slots. TDMA can allow different number
       of time slots for separate user.




13
TDMA Frame Structure
          Preamble     Information Trail Bits
                       message


              Slot 1   Slot 2           Slot N



      Trail Bit    Sync Bit     Information Guard Bits
                                Bit


14
Components of 1 TDMA Frame

      Preamble  Address and synchronization
      information for base station and subscriber
      identification
      Guard times  Synchronization of
      receivers between a different slots and
      frames




15
Principles Of Operation
           TDMA shares the single carrier frequency
           with several users, where each user
           makes use of non-overlapping timeslots.
           Data Transmission for user of TDMA
           system is discrete bursts
       •      The result is low battery consumption.
       •     Handoff process is simpler, since it is
               able to listen for other base stations
             during idle time slots.
16
…Principles Of Operation

      Since different slots are used for T and R,
      duplexers are not required.
      Equalization is required, since transmission
      rates are generally very high as compared to
      FDMA channels.




17
Efficiency of TDMA
     Frame Efficiency :
           No.ofbits / frame containingtransmitted data
      ηf =
                   Total Numberof bits / frame

         = (1 − bOH / bT ) × 100
           (bT − bOH )
         =             × 100
               bT

18
Frame efficiency parameters
        bT = Total Number of bits per frame
            =Tf × R
         Tf =Frame duration
        R=Channel bit rate
        bOH =Number of overhead bits /frame
            =Nr × br + Nt × bp + Nt × b g + Nr × b g
19
…Frame efficiency parameters

     Nr = Number of reference bits per frame
     Nt = Number of traffic bits per frame
     br = Number of overhead bits per reference burst
     bp = Number of overhead bits per preamble in each slots
     b g = Number of equivalent bits in each guard time interval




20
Number of channels in TDMA System
             m(Btot -2Bguard )
        N=
                    Bc
     m = Maximum number of TDMA users supported on each radio channel
     Bguard = Guard band to present user at the edge of the band
             from 'bleeding over' to an adjacent radio service




21
Example

     GSM System uses a TDMA / FDD system.


       The GSM System uses a frame structure
     where each frame consist of 8 time slots, and
     each time slot contains 156.25 bits, and data is
     transmitted at 270.833 kbps in the channel.
     Find: ……


22
…Example

     1.   Time duration of a bit
     2.   Time duration of a slot
     3.   Time duration of a frame and
     4.   How long must a user occupying a single
          slot must wait between two simultaneous
          transmissions?




23
Solution
     •   Time duration of a bit
                   1         1
         =Tb =         =               = 3.692 µs
               bit-rate 270.833 × 10 3



     •   Time duration of a slot

         = Tslot = 156.25 × Tb = 0.577 µs
                                       ms



24
…Solution
     •   Time duration of a frame

          = 8 × Tslot = 4.615ms

     •   A user has to wait 4.615 ms before next
         transmission



25
Example
     If a normal GSM timeslot consists of 6 trailing
      bits, 8.25 guard bits, 26 training bits, and 2
      traffic bursts of 58 bits of data, find the frame
      efficiency


     Solution
         Time slots have 6 + 8.25 + 26 + 2(58) =
         156.25 bits.
         A frame has 8 * 156.25 = 1250 bits / frame.
26
…Example

       The number of overhead bits per frame is
       given by


      bOH = 8(6) + 8(8.25) + 8(26) = 322 bits
      Frame efficiency = (1250 – 322 ) / 1250
                       = 74.24 %


27
Spread Spectrum Multiple Access
     Technologies (SSMA)
      SSMA technologies uses techniques which
      has a transmission bandwidth that is much
      greater than maximum required RF
      bandwidth.
      This is achieved by pseudo noise (PN)
      sequence that contents a narrowband signal
      to a wideband noise-like signal before
      transmission.

28
…Spread Spectrum Multiple Access
     Technologies (SSMA)

      SSMA provides immunity to multiple
      interference and has robust multiple access
      capability.




29
Types Of Spread
     Spectrum Techniques

      Frequency Hopped Multiple Access
      ( FHMA )

      Direct Sequence Multiple Access ( CDMA )




30
Direct Sequence Spread
     Spectrum (DS-SS)
            code

           C1
          C2
                              frequency
          C3
          Cn

             time
31
Direct Sequence Spread
     Spectrum (DS-SS)
                          S1 (t)
                                   τ1
      m1 (t)
                                             r(t)
           PN1 (t)
                     cos(2πfc t + ϕ1 )
                                         Σ

                                   τk
      m2 (t)
          PNK (t)    cos(2πfc t + ϕk )
32
Principles of operation-transmitter
       The narrowband message signal
       mi(t) is multiplied by a pseudo noise
       code sequence that has a chip rate >>
       data rate of message.
      All users use the same carrier
      frequency and may transmit
      simultaneously. The kth transmitted
      signal is given by:
     Sk (t) = (2E s / Ts )1/ 2mk (t)pk (t)cos(2πfc t + ϕk )

33
CDMA Receiver
                                              k
                                            Z i (t)
                                              >
                                  ∫ (.)dt
     r(t)                                     < m (t)
                                                 k


            PNK (t)   cos(2πfc t + ϕk )


34
Principles of operation-receiver
     At the receiver, the received signal is
     correlated with the appropriate signature
     sequence to produce desire variable.
                 iT +τ1

     Z (t) =       ∫         r(t)p1 (t − τ1 )cos[2πfc (t − τ1 ) + ϕ1 ]dt
       1
      i
               (i −1)T +τ1




35
Message Signal
      m(t) is a time sequence of non-overlapping
      pulses of duration T, each of which has an
      amplitude (+/-) 1.
      The PN waveform consists of N pulses or
      chips for message symbol period T.
                 NTC = T
      where TC is the chip period.


36
Example:     Assume N=4
     1


     -1
                PN Wave for N =4
     1


     -1
37
Correlator output for first user
                    iT +τ1

     Z i1 (t) =       ∫
                  (i −1)T +τ1
                                r(t)p1 (t − τ1 )cos[2πfc (t − τ1 ) + ϕ1 ]dt

     •The multiplied signal will be p2(t) = 1 for the
     correct signal and will yield the dispersed
     signal and can be demodulated to yield the
     message signal mi(t).
      S1 (t) = (2Es / Ts ) m1 (t)p1(t)cos(2πfc t + ϕ1 )
                                    1/ 2



38
Probability of bit error
     Probability of bit error
          Pe = Q {1/ [(K –1)/3N + (N0/2Eb)]1/2}
       K   = Number of users
       N   = Number of chips/ symbol


     Now when, Eb/No  ∝
           Pe = Q{[3N/(K-1)]1/2 }

39
Important Advantages of CDMA

      Many users of CDMA use the same
      frequency. Either TDD or FDD may be used.
      Multipath fading may be substantially
      reduced because of large signal bandwidth.
      There is no absolute limit on the number of
      users in CDMA. The system performance
      gradually degrades for all users as the
      number of users is increased.

40
Drawbacks of CDMA

      Self-jamming is a problem in a CDMA
      system. Self-jamming arise because the PN
      sequence are not exactly orthogonal, non-
      zero contributions from other users in the
      system arise
      The near- far problem occurs at a CDMA
      receiver if an undesired user has high
      detected power as compared to the desired
      user.
41
Capacity of Cellular Systems

       Channel capacity for a radio system is
       defined as the maximum number of
       channels or users that can be provided in a
       fixed frequency band  spectrum
       efficiency of wireless system.




42
…Capacity of Cellular Systems

     For a Cellular System
       m = Radio Capacity Matrix = Bt / (BC * N)
       Bt = Total allocated spectrum for the
       system
       BC = Channel bandwidth
       N = Number of cells in frequency reuse
       pattern

43
Channel capacity design


                 CELL A

     CELL A
                           CELL A



       CELL A             CELL A
                 CELL A


44
…Channel capacity design
     for given C/I ratio
      Carrier to Interference ratio
      C =   Do − n
       I         6 × D−n
      Do =Distance from desired base station to mobile
      For maximum interference D0 = R
       ( I)                   ( R D)
                                          −n
        C             = 1
                min         6
       ( CI )   min
                      = 1
                            6 ( Q)
                                     −n


45
…Channel capacity design
     for given C/I ratio
        Q = Co- Channel reuse ratio

             { ( I) }
                                   −µ
                                    n
           = 6× C
                       min


        Also ,Q = (3 × N)          0.5


                                           { ( I) }
                                                        2/n
                           2               6× C
     Therefore , N = (Q)                 =        min
                                                                  − eqn2
                               3                              3

46
…Channel capacity design
     for given C/I ratio
                              Bt
     substituting, m =
                                    
                                               ( )                              
                                                               2/n

                                   Bc 6 × C I                       ( 1/ 3 ) 
                                                    min 
                                                                               

                         Bt
     When n = 4, m =                                                       radio channels / cells
                               
                                                ( )                    
                                                              (1/ 2)

                              Bc ( 2 / 3 ) × C I                    
                                                    min 
                                                                      

     Typical Values of C ( I)      min
                                         = 18 dB for Analog FM and12 dB for Digital


47
Equation of C/I for digital
     cellular system

          ( I)=
           C         (Eb × R b )
                                       I
                     (Ec × R c )
                 =
                                   I
         R b = Channel bit rate
         Eb = Energy per bit
         R c = Rate of channel code
         Ec = Energy per code symbol
48
Comparison of FDMA and
     TDMA systems - FDMA
      The total bandwidth Bt is divided into M
      channels, each with Bandwidth Bc. The
      radio capacity for FDMA is given by
                   M
           m=
                     ( )
                        0.5
                2 C
                 3 I
          C = Eb R b
          I = IoBc
          where Io = Interference power / Hz
49
TDMA
         Assume FDMA occupies the same
         spectrum as a single channel TDMA.
      C′ = E b R ′
                 b

      I′ = IoB′
              c

      where R′ = Transmission rate of TDMA system
             b

      R b = Transmission rate of FDMA system
      Eb = Energy per bit


50
Example

      Consider a FDMA system with 3 channels,
      each having a bandwidth of 10 KHz and
      transmission rate of 10 kbps. A TDMA
      system has 3 time slots, channel bandwidth
      of 30 KHz, and a transmission rate of 30
      kbps.




51
Example …
      For the TDMA scheme, the received carrier
      to interference ratio for a single user is
      measured for 1/3 of the time the channel is
      in use.
      Compare the radio capacity of the 2
      systems.




52
Solution
      For FDMA system

       C = EbR b = Eb × 10   4


       I = IoBc = Io × 10 kHz
                           4
       C =  Eb       × 10 =  Eb 
        I  Io
           
                     ÷         I ÷
                      10  o 
                           4




53
Solution …
       For TDMA system

      C′ = E R ′ =
                   (E    b   × 10   4
                                        )
             b       b                      0.333s
      I′ = IoB′ = Io × 30 × 103
              c


      C =       (
          Eb × 104          )
                            
                           ÷× 
                                  1          Eb 
                                            =
       I           0.333s ÷ I × 30 × 10 3 ÷    Io ÷
                           o                   



54
Capacity of Digital Cellular CDMA

       Capacity of FDMA and TDMA system is
       bandwidth limited.
       Capacity of CDMA system is interference
       limited.
       The link performance of CDMA increases as
       the number of users decreases.



55
Single Cell System

      The cellular network consists of a large
      number of mobile users communicating
      with a base station.
      The cell site transmitter consist of linear
      combiner which adds spread signal of
      individual users for the forward channel.




56
Single Cell System …

      A pilot signal is also included in the cell-site
      transmitter and is used by each mobile to
      set its own power control for the reverse
      link.




57
Capacity of single cell system
       Let the number of users be N and the
       signal power from each of N users be S

        Signal to noise ratio SNR= S
                                       [( N-1) × S]
                                    1
                                =
                                  N −1



58
Bit energy-to-noise ratio
     of single cell system
       The bit energy to noise ratio is an important
       factor in communication systems
                         S
        Eb                 R
             =
           No             S η
                (N − 1) × W  + W
                            
        R= Baseband information bit rate
        W= Total RF bandwidth, W
        η= Background thermal Noise
59
Number of possible of
     single cell system

                       W
      Eb                   R
                =
           No                 η
                    (N − 1) +
                              S




60
Number of users that
     can access the system

                         
                 ( )
                 WR  η
         N = 1+ 
                  Eb  
                   N ÷
                           ( )
                          − S
                
                      o 
                          
              ( R ) = Pr oces sing Gain
         where W


61
Number of users that
     can access the system …..

     In order to increase the capacity, the
     interference due to other users should be
     reduced. There are mainly two techniques.




62
Techniques to improve capacity

      Antenna Sectorization:
      A cell site with 3 antennas, each having a
      beamwidth of 1200 , has interference No’,
      which is 1/3 of the interference received by
      omni-directional antenna. This increases the
      capacity by a factor of 3.




63
Techniques to improve capacity …

      Monitoring or Voice activity:
      Each transmitter is switched off during
      period of no voice activity. Voice activity is
      denoted by a factor α




64
SNR Improvement


       Eb
               =
                        ( W R)
            N′
             o
                   ( Ns − 1) α + ( S)
                                 η

       where Ns = Number of users per sector




65
SNR Improvement …

                 W 
            ( )
     Ns = 1 + 1  R − η
               α  Eb 
                                ,)0 < α < 1
                          (S × α )
                  N′ 
                     o 




     If α = 3/8 and number of sector is equal to 3 ,
     SNR increases by a factor of 8.


66
CDMA Power Control

      In CDMA, the system capacity is controlled
      if each mobile transmitter power level is
      controlled so that its signal arrives at the
      cell site with minimum required S/I.




67
CDMA Power Control ...

      If the signal power of all mobile transmitters
      within the area of cell site are controlled,
      then total signal power received at all site
      from all mobile will be equal to average
      received power times the number of mobiles
      operating in region of coverage.
      Optimal power is desired, never too weak or
      too strong.


68
Example
      If W = 1.25 MHz, R= 9600 bps, and a
      minimum acceptable Eb/ No is 10 dB,
      determine the maximum number of users
      that can be supported in a single cell CDMA
      system using
      (a) omni directional base station antennas
      and no voice activity detection
      (b) 3 sectors at base station and α = 3/8.
      Assume the system is interference limited.
      η = 0.
69
Solution
     (a)                      
                     ( )
                    WR  η
           N = 1+ 
                     Eb  
                      N ÷
                                 ( )
                               − S
                   
                          o 
                    1.25 × 10      
             = 1+             9600  − 0
                          10       
                                   
             = 1 + 13.02 = 14

70
Solution …
     (b)
                           
                    ( )
                      W
                  
           N = 1+ 
                  
                        R − η
                     Eb  
                              S( )
                  
                       No ÷
                           
                 1   1.25 × 10      
           = 1+    ÷            9600  − 0
                 3 ÷        10       
                 8                  
           = 35.7

71
Solution …

     Total amount of
     users N = 3Ns
               = 3 × 35.7
               = 107 users / cell




72

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Multiple acces techniques

  • 1. Multiple Access Techniques Multiple access schemes are used to allow many mobile users to share simultaneously a finite amount of radio spectrum. The sharing of spectrum is required to achieve high capacity by simultaneously allocating the available bandwidth (or the available amount of channels) to multiple users. For high quality communications, this must be done without severe degradation in the performance of the system. 1
  • 2. Difference between multiplexing and multiple access 2
  • 3. Multiple Access Techniques Multiple Access Techniques FDMA TDMA CDMA SDMA 3
  • 4. Multiple Access (MA) Technologies used in Different Wireless Systems Cellular Systems MA Technique AMPS ( Advanced Mobile FDMA / FDD Phone system ) GSM ( Global System for TDMA / FDD Mobile ) US DC ( U. S Digital TDMA / FDD Cellular ) JDC ( Japanese Digital TDMA / FDD Cellular ) 4
  • 5. …Multiple Access (MA) Technologies used in Different Wireless Systems Cellular Systems MA Technique DECT ( Digital FDMA / FDD European Cordless Telephone ) IS – 95 ( U.S Narrowband CDMA / FDD Spread Spectrum ) 5
  • 6. Frequency Division Multiple Access (FDMA) code C1 C2 Cn frequency time frequency C1 C2 Cn 6
  • 7. Principles Of Operation Each user is allocated a unique frequency band or channel. These channels are assigned on demand to users who request service. In FDD, the channel has two frequencies – forward channel & reverse channel. 7
  • 8. …Principles Of Operation During the period of the call, no other user can share the same frequency band. If the FDMA channel is not in use, then it sits idle and cannot be used by other users to increase or share capacity. This is a wasted resource. 8
  • 9. Properties of FDMA The bandwidth of FDMA channels is narrow (30 KHz) since it supports only one call/ carrier. FDMA systems have higher cost Costly band pass filters to eliminate spurious radiation Duplexers in both T/R increase subscriber costs 9
  • 10. Number Of Channel Supported By FDMA System Bg Bg Bt − 2Bg Bt N= Bc Bg → GuardBand Bc → ChannelBandwidth 10
  • 11. Example In the US, each cellular carrier is allocated 416 channels, Bt = 12.5MHz Bg = 10KHz Bc = 30KHz (12.5 × 106 ) − 2(10 × 103 )    = 416 N= 30 × 10 3 11
  • 12. Time Division Multiple Access (TDMA) code C1 Cn frequency time time C1 C2 Cn 12
  • 13. Principles Of Operation TDMA systems divide the radio spectrum into time slots and each user is allowed to either transmit or receive in each time slots. Each user occupies a cyclically repeating time slots. TDMA can allow different number of time slots for separate user. 13
  • 14. TDMA Frame Structure Preamble Information Trail Bits message Slot 1 Slot 2 Slot N Trail Bit Sync Bit Information Guard Bits Bit 14
  • 15. Components of 1 TDMA Frame Preamble  Address and synchronization information for base station and subscriber identification Guard times  Synchronization of receivers between a different slots and frames 15
  • 16. Principles Of Operation TDMA shares the single carrier frequency with several users, where each user makes use of non-overlapping timeslots. Data Transmission for user of TDMA system is discrete bursts • The result is low battery consumption. • Handoff process is simpler, since it is able to listen for other base stations during idle time slots. 16
  • 17. …Principles Of Operation Since different slots are used for T and R, duplexers are not required. Equalization is required, since transmission rates are generally very high as compared to FDMA channels. 17
  • 18. Efficiency of TDMA Frame Efficiency : No.ofbits / frame containingtransmitted data ηf = Total Numberof bits / frame = (1 − bOH / bT ) × 100 (bT − bOH ) = × 100 bT 18
  • 19. Frame efficiency parameters bT = Total Number of bits per frame =Tf × R Tf =Frame duration R=Channel bit rate bOH =Number of overhead bits /frame =Nr × br + Nt × bp + Nt × b g + Nr × b g 19
  • 20. …Frame efficiency parameters Nr = Number of reference bits per frame Nt = Number of traffic bits per frame br = Number of overhead bits per reference burst bp = Number of overhead bits per preamble in each slots b g = Number of equivalent bits in each guard time interval 20
  • 21. Number of channels in TDMA System m(Btot -2Bguard ) N= Bc m = Maximum number of TDMA users supported on each radio channel Bguard = Guard band to present user at the edge of the band from 'bleeding over' to an adjacent radio service 21
  • 22. Example GSM System uses a TDMA / FDD system. The GSM System uses a frame structure where each frame consist of 8 time slots, and each time slot contains 156.25 bits, and data is transmitted at 270.833 kbps in the channel. Find: …… 22
  • 23. …Example 1. Time duration of a bit 2. Time duration of a slot 3. Time duration of a frame and 4. How long must a user occupying a single slot must wait between two simultaneous transmissions? 23
  • 24. Solution • Time duration of a bit 1 1 =Tb = = = 3.692 µs bit-rate 270.833 × 10 3 • Time duration of a slot = Tslot = 156.25 × Tb = 0.577 µs ms 24
  • 25. …Solution • Time duration of a frame = 8 × Tslot = 4.615ms • A user has to wait 4.615 ms before next transmission 25
  • 26. Example If a normal GSM timeslot consists of 6 trailing bits, 8.25 guard bits, 26 training bits, and 2 traffic bursts of 58 bits of data, find the frame efficiency Solution Time slots have 6 + 8.25 + 26 + 2(58) = 156.25 bits. A frame has 8 * 156.25 = 1250 bits / frame. 26
  • 27. …Example The number of overhead bits per frame is given by bOH = 8(6) + 8(8.25) + 8(26) = 322 bits Frame efficiency = (1250 – 322 ) / 1250 = 74.24 % 27
  • 28. Spread Spectrum Multiple Access Technologies (SSMA) SSMA technologies uses techniques which has a transmission bandwidth that is much greater than maximum required RF bandwidth. This is achieved by pseudo noise (PN) sequence that contents a narrowband signal to a wideband noise-like signal before transmission. 28
  • 29. …Spread Spectrum Multiple Access Technologies (SSMA) SSMA provides immunity to multiple interference and has robust multiple access capability. 29
  • 30. Types Of Spread Spectrum Techniques Frequency Hopped Multiple Access ( FHMA ) Direct Sequence Multiple Access ( CDMA ) 30
  • 31. Direct Sequence Spread Spectrum (DS-SS) code C1 C2 frequency C3 Cn time 31
  • 32. Direct Sequence Spread Spectrum (DS-SS) S1 (t) τ1 m1 (t) r(t) PN1 (t) cos(2πfc t + ϕ1 ) Σ τk m2 (t) PNK (t) cos(2πfc t + ϕk ) 32
  • 33. Principles of operation-transmitter The narrowband message signal mi(t) is multiplied by a pseudo noise code sequence that has a chip rate >> data rate of message. All users use the same carrier frequency and may transmit simultaneously. The kth transmitted signal is given by: Sk (t) = (2E s / Ts )1/ 2mk (t)pk (t)cos(2πfc t + ϕk ) 33
  • 34. CDMA Receiver k Z i (t) > ∫ (.)dt r(t) < m (t) k PNK (t) cos(2πfc t + ϕk ) 34
  • 35. Principles of operation-receiver At the receiver, the received signal is correlated with the appropriate signature sequence to produce desire variable. iT +τ1 Z (t) = ∫ r(t)p1 (t − τ1 )cos[2πfc (t − τ1 ) + ϕ1 ]dt 1 i (i −1)T +τ1 35
  • 36. Message Signal m(t) is a time sequence of non-overlapping pulses of duration T, each of which has an amplitude (+/-) 1. The PN waveform consists of N pulses or chips for message symbol period T. NTC = T where TC is the chip period. 36
  • 37. Example: Assume N=4 1 -1 PN Wave for N =4 1 -1 37
  • 38. Correlator output for first user iT +τ1 Z i1 (t) = ∫ (i −1)T +τ1 r(t)p1 (t − τ1 )cos[2πfc (t − τ1 ) + ϕ1 ]dt •The multiplied signal will be p2(t) = 1 for the correct signal and will yield the dispersed signal and can be demodulated to yield the message signal mi(t). S1 (t) = (2Es / Ts ) m1 (t)p1(t)cos(2πfc t + ϕ1 ) 1/ 2 38
  • 39. Probability of bit error Probability of bit error Pe = Q {1/ [(K –1)/3N + (N0/2Eb)]1/2} K = Number of users N = Number of chips/ symbol Now when, Eb/No  ∝ Pe = Q{[3N/(K-1)]1/2 } 39
  • 40. Important Advantages of CDMA Many users of CDMA use the same frequency. Either TDD or FDD may be used. Multipath fading may be substantially reduced because of large signal bandwidth. There is no absolute limit on the number of users in CDMA. The system performance gradually degrades for all users as the number of users is increased. 40
  • 41. Drawbacks of CDMA Self-jamming is a problem in a CDMA system. Self-jamming arise because the PN sequence are not exactly orthogonal, non- zero contributions from other users in the system arise The near- far problem occurs at a CDMA receiver if an undesired user has high detected power as compared to the desired user. 41
  • 42. Capacity of Cellular Systems Channel capacity for a radio system is defined as the maximum number of channels or users that can be provided in a fixed frequency band  spectrum efficiency of wireless system. 42
  • 43. …Capacity of Cellular Systems For a Cellular System m = Radio Capacity Matrix = Bt / (BC * N) Bt = Total allocated spectrum for the system BC = Channel bandwidth N = Number of cells in frequency reuse pattern 43
  • 44. Channel capacity design CELL A CELL A CELL A CELL A CELL A CELL A 44
  • 45. …Channel capacity design for given C/I ratio Carrier to Interference ratio C = Do − n I 6 × D−n Do =Distance from desired base station to mobile For maximum interference D0 = R ( I) ( R D) −n C = 1 min 6 ( CI ) min = 1 6 ( Q) −n 45
  • 46. …Channel capacity design for given C/I ratio Q = Co- Channel reuse ratio { ( I) } −µ n = 6× C min Also ,Q = (3 × N) 0.5 { ( I) } 2/n 2 6× C Therefore , N = (Q) = min − eqn2 3 3 46
  • 47. …Channel capacity design for given C/I ratio Bt substituting, m =   ( )  2/n Bc 6 × C I  ( 1/ 3 )    min    Bt When n = 4, m = radio channels / cells   ( )  (1/ 2) Bc ( 2 / 3 ) × C I     min    Typical Values of C ( I) min = 18 dB for Analog FM and12 dB for Digital 47
  • 48. Equation of C/I for digital cellular system ( I)= C (Eb × R b ) I (Ec × R c ) = I R b = Channel bit rate Eb = Energy per bit R c = Rate of channel code Ec = Energy per code symbol 48
  • 49. Comparison of FDMA and TDMA systems - FDMA The total bandwidth Bt is divided into M channels, each with Bandwidth Bc. The radio capacity for FDMA is given by M m= ( ) 0.5 2 C 3 I C = Eb R b I = IoBc where Io = Interference power / Hz 49
  • 50. TDMA Assume FDMA occupies the same spectrum as a single channel TDMA. C′ = E b R ′ b I′ = IoB′ c where R′ = Transmission rate of TDMA system b R b = Transmission rate of FDMA system Eb = Energy per bit 50
  • 51. Example Consider a FDMA system with 3 channels, each having a bandwidth of 10 KHz and transmission rate of 10 kbps. A TDMA system has 3 time slots, channel bandwidth of 30 KHz, and a transmission rate of 30 kbps. 51
  • 52. Example … For the TDMA scheme, the received carrier to interference ratio for a single user is measured for 1/3 of the time the channel is in use. Compare the radio capacity of the 2 systems. 52
  • 53. Solution For FDMA system C = EbR b = Eb × 10 4 I = IoBc = Io × 10 kHz 4 C =  Eb  × 10 =  Eb  I  Io  ÷  I ÷  10  o  4 53
  • 54. Solution … For TDMA system C′ = E R ′ = (E b × 10 4 ) b b 0.333s I′ = IoB′ = Io × 30 × 103 c C = (  Eb × 104 )   ÷×  1   Eb  = I  0.333s ÷ I × 30 × 10 3 ÷  Io ÷   o    54
  • 55. Capacity of Digital Cellular CDMA Capacity of FDMA and TDMA system is bandwidth limited. Capacity of CDMA system is interference limited. The link performance of CDMA increases as the number of users decreases. 55
  • 56. Single Cell System The cellular network consists of a large number of mobile users communicating with a base station. The cell site transmitter consist of linear combiner which adds spread signal of individual users for the forward channel. 56
  • 57. Single Cell System … A pilot signal is also included in the cell-site transmitter and is used by each mobile to set its own power control for the reverse link. 57
  • 58. Capacity of single cell system Let the number of users be N and the signal power from each of N users be S Signal to noise ratio SNR= S [( N-1) × S] 1 = N −1 58
  • 59. Bit energy-to-noise ratio of single cell system The bit energy to noise ratio is an important factor in communication systems S Eb R = No  S η (N − 1) × W  + W   R= Baseband information bit rate W= Total RF bandwidth, W η= Background thermal Noise 59
  • 60. Number of possible of single cell system W Eb R = No η (N − 1) + S 60
  • 61. Number of users that can access the system   ( )  WR  η N = 1+    Eb    N ÷ ( ) − S   o   ( R ) = Pr oces sing Gain where W 61
  • 62. Number of users that can access the system ….. In order to increase the capacity, the interference due to other users should be reduced. There are mainly two techniques. 62
  • 63. Techniques to improve capacity Antenna Sectorization: A cell site with 3 antennas, each having a beamwidth of 1200 , has interference No’, which is 1/3 of the interference received by omni-directional antenna. This increases the capacity by a factor of 3. 63
  • 64. Techniques to improve capacity … Monitoring or Voice activity: Each transmitter is switched off during period of no voice activity. Voice activity is denoted by a factor α 64
  • 65. SNR Improvement Eb = ( W R) N′ o ( Ns − 1) α + ( S) η where Ns = Number of users per sector 65
  • 66. SNR Improvement … W  ( ) Ns = 1 + 1  R − η α  Eb  ,)0 < α < 1 (S × α )  N′   o  If α = 3/8 and number of sector is equal to 3 , SNR increases by a factor of 8. 66
  • 67. CDMA Power Control In CDMA, the system capacity is controlled if each mobile transmitter power level is controlled so that its signal arrives at the cell site with minimum required S/I. 67
  • 68. CDMA Power Control ... If the signal power of all mobile transmitters within the area of cell site are controlled, then total signal power received at all site from all mobile will be equal to average received power times the number of mobiles operating in region of coverage. Optimal power is desired, never too weak or too strong. 68
  • 69. Example If W = 1.25 MHz, R= 9600 bps, and a minimum acceptable Eb/ No is 10 dB, determine the maximum number of users that can be supported in a single cell CDMA system using (a) omni directional base station antennas and no voice activity detection (b) 3 sectors at base station and α = 3/8. Assume the system is interference limited. η = 0. 69
  • 70. Solution (a)   ( )  WR  η N = 1+    Eb    N ÷ ( ) − S   o   1.25 × 10  = 1+  9600  − 0  10    = 1 + 13.02 = 14 70
  • 71. Solution … (b)   ( ) W  N = 1+   R − η  Eb    S( )   No ÷   1   1.25 × 10  = 1+  ÷ 9600  − 0  3 ÷ 10   8   = 35.7 71
  • 72. Solution … Total amount of users N = 3Ns = 3 × 35.7 = 107 users / cell 72