These slides cover the fundamentals of data communication & networking. It covers Channel Capacity It is useful for engineering students & also for the candidates who want to master data communication & computer networking.
This is my mini project on bandwidth. Its the best i could do and if theres any enquires on my powerpoint slide show, please let me know lol :)
thankyou.
Data Communication & Computer Networks : Serial and parellel transmissionDr Rajiv Srivastava
These slides cover the fundamentals of data communication & networking. it covers Serial and Parallel transmission which are used in communication of data over transmission medium. It is useful for engineering students & also for the candidates who want to master data communication & computer networking.
Classification of signals and systems as well as their properties are given in the PPT .Examples related to types of signals and systems are also given .
Introduction to digital communication, base band system, formatting of textual data, MESSAGES, CHARACTERS, AND SYMBOLS, Example of Messages, Characters, and Symbols, Baseband Modulation, Intersymbol Interference
Simple description about the analog and digital signals
and a description about analog to digital conversion &
digital to analog conversion..............
These slides cover the fundamentals of data communication & networking. It covers Channel Capacity It is useful for engineering students & also for the candidates who want to master data communication & computer networking.
This is my mini project on bandwidth. Its the best i could do and if theres any enquires on my powerpoint slide show, please let me know lol :)
thankyou.
Data Communication & Computer Networks : Serial and parellel transmissionDr Rajiv Srivastava
These slides cover the fundamentals of data communication & networking. it covers Serial and Parallel transmission which are used in communication of data over transmission medium. It is useful for engineering students & also for the candidates who want to master data communication & computer networking.
Classification of signals and systems as well as their properties are given in the PPT .Examples related to types of signals and systems are also given .
Introduction to digital communication, base band system, formatting of textual data, MESSAGES, CHARACTERS, AND SYMBOLS, Example of Messages, Characters, and Symbols, Baseband Modulation, Intersymbol Interference
Simple description about the analog and digital signals
and a description about analog to digital conversion &
digital to analog conversion..............
Data and Computer Communications ,Transmission Terminology Frequency Domain Concepts Advantages & Disadvantages of Digital Signals Audio Signals Video Signals Analog and Digital Transmission ATTENUATION Noise
Wireless Communication and Networking by WilliamStallings Chap2Senthil Kanth
Hai I'm Senthilkanth, doing MCA in Mepco Schlenk Engineering College..
The following presentation covers topic called Wireless Communication and Networking
by WilliamStallings for BSc CS, BCA, MSc CS, MCA, ME students.Make use of it.
Wireless Communication and Networking
by WilliamStallings Chapter : 2Transmission Fundamentals
Chapter 2
Electromagnetic Signal
Function of time
Can also be expressed as a function of frequency
Signal consists of components of different frequencies
Time-Domain Concepts
Analog signal - signal intensity varies in a smooth fashion over time
No breaks or discontinuities in the signal
Digital signal - signal intensity maintains a constant level for some period of time and then changes to another constant level
Periodic signal - analog or digital signal pattern that repeats over time
s(t +T ) = s(t ) -¥< t < +¥
where T is the period of the signal
Time-Domain Concepts
Aperiodic signal - analog or digital signal pattern that doesn't repeat over time
Peak amplitude (A) - maximum value or strength of the signal over time; typically measured in volts
Frequency (f )
Rate, in cycles per second, or Hertz (Hz) at which the signal repeats
Time-Domain Concepts
Period (T ) - amount of time it takes for one repetition of the signal
T = 1/f
Phase () - measure of the relative position in time within a single period of a signal
Wavelength () - distance occupied by a single cycle of the signal
Or, the distance between two points of corresponding phase of two consecutive cycles
Sine Wave Parameters
General sine wave
s(t ) = A sin(2ft + )
Figure 2.3 shows the effect of varying each of the three parameters
(a) A = 1, f = 1 Hz, = 0; thus T = 1s
(b) Reduced peak amplitude; A=0.5
(c) Increased frequency; f = 2, thus T = ½
(d) Phase shift; = /4 radians (45 degrees)
note: 2 radians = 360° = 1 period
Sine Wave Parameters
Time vs. Distance
When the horizontal axis is time, as in Figure 2.3, graphs display the value of a signal at a given point in space as a function of time
With the horizontal axis in space, graphs display the value of a signal at a given point in time as a function of distance
At a particular instant of time, the intensity of the signal varies as a function of distance from the source
Frequency-Domain Concepts
Fundamental frequency - when all frequency components of a signal are integer multiples of one frequency, it’s referred to as the fundamental frequency
Spectrum - range of frequencies that a signal contains
Absolute bandwidth - width of the spectrum of a signal
Effective bandwidth (or just bandwidth) - narrow band of frequencies that most of the signal’s energy is contained in
Frequency-Domain Concepts
Any electromagnetic signal can be shown to consist of a collection of periodic analog signals (sine waves) at different amplitudes, frequencies, and phases
The period of the total signal is equal to the period of the fundamenta
Chapter 3 Signals
Chapter 4 Digital Transmission
Chapter 5 Analog Transmission
Chapter 6 Multiplexing
Chapter 7 Transmission Media
Chapter 8 Circuit Switching and Telephone Network
Chapter 9 High Speed Digital Access
Comparison of Analog and
Digital Signal
Analog Signals
Sine Wave
Phase
Examples of Sine Waves
Time and Frequency Domains
Composite Signals
Bandwidth
Signals and Systems
What is a signal?
Signal Basics
Analog / Digital Signals
Real vs Complex
Periodic vs. Aperiodic
Bounded vs. Unbounded
Causal vs. Noncausal
Even vs. Odd
Power vs. Energy
Process load,process lag,self regulation,error,control lag,dead time,cycling,discontinious control modes,two position control modes,flaoting control modes,propotional band,offset,propotional control, integral control,derivative control,pid control,pi control,pd control,tuning of pid control
Understanding Inductive Bias in Machine LearningSUTEJAS
This presentation explores the concept of inductive bias in machine learning. It explains how algorithms come with built-in assumptions and preferences that guide the learning process. You'll learn about the different types of inductive bias and how they can impact the performance and generalizability of machine learning models.
The presentation also covers the positive and negative aspects of inductive bias, along with strategies for mitigating potential drawbacks. We'll explore examples of how bias manifests in algorithms like neural networks and decision trees.
By understanding inductive bias, you can gain valuable insights into how machine learning models work and make informed decisions when building and deploying them.
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HEAP SORT ILLUSTRATED WITH HEAPIFY, BUILD HEAP FOR DYNAMIC ARRAYS.
Heap sort is a comparison-based sorting technique based on Binary Heap data structure. It is similar to the selection sort where we first find the minimum element and place the minimum element at the beginning. Repeat the same process for the remaining elements.
NUMERICAL SIMULATIONS OF HEAT AND MASS TRANSFER IN CONDENSING HEAT EXCHANGERS...ssuser7dcef0
Power plants release a large amount of water vapor into the
atmosphere through the stack. The flue gas can be a potential
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moisture, it could reduce its total cooling water intake
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phenomenon since heat and mass transfer of water vapor and
various acids simultaneously occur in the presence of noncondensable
gases such as nitrogen and oxygen. Design of a
condenser depends on the knowledge and understanding of the
heat and mass transfer processes. A computer program for
numerical simulations of water (H2O) and sulfuric acid (H2SO4)
condensation in a flue gas condensing heat exchanger was
developed using MATLAB. Governing equations based on
mass and energy balances for the system were derived to
predict variables such as flue gas exit temperature, cooling
water outlet temperature, mole fraction and condensation rates
of water and sulfuric acid vapors. The equations were solved
using an iterative solution technique with calculations of heat
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Water billing management system project report.pdfKamal Acharya
Our project entitled “Water Billing Management System” aims is to generate Water bill with all the charges and penalty. Manual system that is employed is extremely laborious and quite inadequate. It only makes the process more difficult and hard.
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This document provides information about the third edition of the magazine "Sthapatya" published by the Association of Civil Engineers (Practicing) Aurangabad. It includes messages from current and past presidents of ACEP, memories and photos from past ACEP events, information on life time achievement awards given by ACEP, and a technical article on concrete maintenance, repairs and strengthening. The document highlights activities of ACEP and provides a technical educational article for members.
1. Data and ComputerData and Computer
CommunicationsCommunications
Eighth EditionEighth Edition
by William Stallingsby William Stallings
Lecture slides by Lawrie BrownLecture slides by Lawrie Brown
Chapter 3 – Data TransmissionChapter 3 – Data Transmission
2. Data TransmissionData Transmission
Toto, I've got a feeling we're not in KansasToto, I've got a feeling we're not in Kansas
anymoreanymore. Judy Garland in. Judy Garland in The Wizard ofThe Wizard of
OzOz
3. TransmissionTransmission TerminologyTerminology
data transmission occurs between adata transmission occurs between a
transmitter & receiver via some mediumtransmitter & receiver via some medium
guided mediumguided medium
eg. twisted pair, coaxial cable, optical fibereg. twisted pair, coaxial cable, optical fiber
unguided / wireless mediumunguided / wireless medium
eg. air, water, vacuumeg. air, water, vacuum
4. TransmissionTransmission TerminologyTerminology
direct linkdirect link
no intermediate devicesno intermediate devices
point-to-pointpoint-to-point
direct linkdirect link
only 2 devices share linkonly 2 devices share link
multi-pointmulti-point
more than two devices share the linkmore than two devices share the link
5. TransmissionTransmission TerminologyTerminology
simplexsimplex
one directionone direction
• eg. televisioneg. television
half duplexhalf duplex
either direction, but only one way at a timeeither direction, but only one way at a time
• eg. police radioeg. police radio
full duplexfull duplex
both directions at the same timeboth directions at the same time
• eg. telephoneeg. telephone
6. Frequency, Spectrum andFrequency, Spectrum and
BandwidthBandwidth
time domain conceptstime domain concepts
analog signalanalog signal
• various in a smooth way over timevarious in a smooth way over time
digital signaldigital signal
• maintains a constant level then changes to anothermaintains a constant level then changes to another
constant levelconstant level
periodic signalperiodic signal
• pattern repeated over timepattern repeated over time
aperiodic signalaperiodic signal
• pattern not repeated over timepattern not repeated over time
9. Sine WaveSine Wave
peak amplitude (A)peak amplitude (A)
maximum strength of signalmaximum strength of signal
voltsvolts
frequency (f)frequency (f)
rate of change of signalrate of change of signal
Hertz (Hz) or cycles per secondHertz (Hz) or cycles per second
period = time for one repetition (T)period = time for one repetition (T)
T = 1/fT = 1/f
phase (phase (φφ))
relative position in timerelative position in time
11. Wavelength (Wavelength (λλ))
is distance occupied by one cycleis distance occupied by one cycle
between two points of correspondingbetween two points of corresponding
phase in two consecutive cyclesphase in two consecutive cycles
assuming signal velocityassuming signal velocity vv havehave λλ = vT= vT
or equivalentlyor equivalently λλf = vf = v
especially whenespecially when v=cv=c
c = 3*10c = 3*1088
msms-1-1
(speed of light in free space)(speed of light in free space)
12. Frequency Domain ConceptsFrequency Domain Concepts
signal are made up of many frequenciessignal are made up of many frequencies
components are sine wavescomponents are sine waves
Fourier analysis can shown that any signalFourier analysis can shown that any signal
is made up of component sine wavesis made up of component sine waves
can plot frequency domain functionscan plot frequency domain functions
15. Spectrum & BandwidthSpectrum & Bandwidth
spectrumspectrum
range of frequencies contained in signalrange of frequencies contained in signal
absolute bandwidthabsolute bandwidth
width of spectrumwidth of spectrum
effective bandwidtheffective bandwidth
often justoften just bandwidthbandwidth
narrow band of frequencies containing most energynarrow band of frequencies containing most energy
DC ComponentDC Component
component of zero frequencycomponent of zero frequency
16. Data Rate and BandwidthData Rate and Bandwidth
any transmission system has a limited band ofany transmission system has a limited band of
frequenciesfrequencies
this limits the data rate that can be carriedthis limits the data rate that can be carried
square have infinite components and hencesquare have infinite components and hence
bandwidthbandwidth
but most energy in first few componentsbut most energy in first few components
limited bandwidth increases distortionlimited bandwidth increases distortion
have a direct relationship between data rate &have a direct relationship between data rate &
bandwidthbandwidth
17. Analog and Digital DataAnalog and Digital Data
TransmissionTransmission
datadata
entities that convey meaningentities that convey meaning
signals & signallingsignals & signalling
electric or electromagnetic representations ofelectric or electromagnetic representations of
data, physically propagates along mediumdata, physically propagates along medium
transmissiontransmission
communication of data by propagation andcommunication of data by propagation and
processing of signalsprocessing of signals
19. Audio SignalsAudio Signals
freq range 20Hz-20kHz (speech 100Hz-7kHz)freq range 20Hz-20kHz (speech 100Hz-7kHz)
easily converted into electromagnetic signalseasily converted into electromagnetic signals
varying volume converted to varying voltagevarying volume converted to varying voltage
can limit frequency range for voice channel tocan limit frequency range for voice channel to
300-3400Hz300-3400Hz
20. Video SignalsVideo Signals
USA - 483 lines per frame, at frames per secUSA - 483 lines per frame, at frames per sec
have 525 lines but 42 lost during vertical retracehave 525 lines but 42 lost during vertical retrace
525 lines x 30 scans = 15750 lines per sec525 lines x 30 scans = 15750 lines per sec
63.563.5µµs per lines per line
1111µµs for retrace, so 52.5s for retrace, so 52.5 µµs per video lines per video line
max frequency if line alternates black and whitemax frequency if line alternates black and white
horizontal resolution is about 450 lines givinghorizontal resolution is about 450 lines giving
225 cycles of wave in 52.5225 cycles of wave in 52.5 µµss
max frequency of 4.2MHzmax frequency of 4.2MHz
21. Digital DataDigital Data
as generated by computers etc.as generated by computers etc.
has two dc componentshas two dc components
bandwidth depends on data ratebandwidth depends on data rate
24. Advantages & DisadvantagesAdvantages & Disadvantages
of Digital Signalsof Digital Signals
cheapercheaper
less susceptible to noiseless susceptible to noise
but greater attenuationbut greater attenuation
digital now preferred choicedigital now preferred choice
25. Transmission ImpairmentsTransmission Impairments
signal received may differ from signalsignal received may differ from signal
transmitted causing:transmitted causing:
analog - degradation of signal qualityanalog - degradation of signal quality
digital - bit errorsdigital - bit errors
most significant impairments aremost significant impairments are
attenuation and attenuation distortionattenuation and attenuation distortion
delay distortiondelay distortion
noisenoise
26. AttenuationAttenuation
where signal strength falls off with distancewhere signal strength falls off with distance
depends on mediumdepends on medium
received signal strength must be:received signal strength must be:
strong enough to be detectedstrong enough to be detected
sufficiently higher than noise to receive without errorsufficiently higher than noise to receive without error
so increase strength using amplifiers/repeatersso increase strength using amplifiers/repeaters
is also an increasing function of frequencyis also an increasing function of frequency
so equalize attenuation across band ofso equalize attenuation across band of
frequencies usedfrequencies used
eg. using loading coils or amplifierseg. using loading coils or amplifiers
27. Delay DistortionDelay Distortion
only occurs in guided mediaonly occurs in guided media
propagation velocity varies with frequencypropagation velocity varies with frequency
hence various frequency componentshence various frequency components
arrive at different timesarrive at different times
particularly critical for digital dataparticularly critical for digital data
since parts of one bit spill over into otherssince parts of one bit spill over into others
causing intersymbol interferencecausing intersymbol interference
28. NoiseNoise
additional signals inserted betweenadditional signals inserted between
transmitter and receivertransmitter and receiver
thermalthermal
due to thermal agitation of electronsdue to thermal agitation of electrons
uniformly distributeduniformly distributed
white noisewhite noise
intermodulationintermodulation
signals that are the sum and difference ofsignals that are the sum and difference of
original frequencies sharing a mediumoriginal frequencies sharing a medium
29. NoiseNoise
crosstalkcrosstalk
a signal from one line is picked up by anothera signal from one line is picked up by another
impulseimpulse
irregular pulses or spikesirregular pulses or spikes
• eg. external electromagnetic interferenceeg. external electromagnetic interference
short durationshort duration
high amplitudehigh amplitude
a minor annoyance for analog signalsa minor annoyance for analog signals
but a major source of error in digital databut a major source of error in digital data
• a noise spike could corrupt many bitsa noise spike could corrupt many bits
30. Channel CapacityChannel Capacity
max possible data rate on comms channelmax possible data rate on comms channel
is a function ofis a function of
data rate - in bits per seconddata rate - in bits per second
bandwidth - in cycles per second or Hertzbandwidth - in cycles per second or Hertz
noise - on comms linknoise - on comms link
error rate - of corrupted bitserror rate - of corrupted bits
limitations due to physical propertieslimitations due to physical properties
want most efficient use of capacitywant most efficient use of capacity
31. Nyquist BandwidthNyquist Bandwidth
consider noise free channelsconsider noise free channels
if rate of signal transmission is 2B then can carryif rate of signal transmission is 2B then can carry
signal with frequencies no greater than Bsignal with frequencies no greater than B
ie. given bandwidth B, highest signal rate is 2Bie. given bandwidth B, highest signal rate is 2B
for binary signals, 2B bps needs bandwidth B Hzfor binary signals, 2B bps needs bandwidth B Hz
can increase rate by using M signal levelscan increase rate by using M signal levels
Nyquist Formula is: C = 2B logNyquist Formula is: C = 2B log22MM
so increase rate by increasing signalsso increase rate by increasing signals
at cost of receiver complexityat cost of receiver complexity
limited by noise & other impairmentslimited by noise & other impairments
32. Shannon Capacity FormulaShannon Capacity Formula
consider relation of data rate, noise & error rateconsider relation of data rate, noise & error rate
faster data rate shortens each bit so bursts of noisefaster data rate shortens each bit so bursts of noise
affects more bitsaffects more bits
given noise level, higher rates means higher errorsgiven noise level, higher rates means higher errors
Shannon developed formula relating these toShannon developed formula relating these to
signal to noise ratio (in decibels)signal to noise ratio (in decibels)
SNRSNRdbdb
==
10 log10 log1010 (signal/noise)(signal/noise)
Capacity C=B logCapacity C=B log22(1+SNR)(1+SNR)
theoretical maximumtheoretical maximum capacitycapacity
get lower in practiseget lower in practise
33. SummarySummary
looked at data transmission issueslooked at data transmission issues
frequency, spectrum & bandwidthfrequency, spectrum & bandwidth
analog vs digital signalsanalog vs digital signals
transmission impairmentstransmission impairments
Editor's Notes
Lecture slides prepared by Dr Lawrie Brown (UNSW@ADFA) for “Data and Computer Communications”, 8/e, by William Stallings, Chapter 3 “Data Transmission”.
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This quote is from the start of Stallings DCC8e Ch3.
The successful transmission of data depends principally on two factors: the quality of the signal being transmitted and the characteristics of the transmission medium. The objective of this chapter and the next is to provide the reader with an intuitive feeling for the nature of these two factors.
The first section presents some concepts and terms from the field of electrical engineering. This should provide sufficient background to deal with the remainder of the chapter. Data transmission occurs between transmitter and receiver over some transmission medium. Transmission media may be classified as guided or unguided. In both cases, communication is in the form of electromagnetic waves. With guided media, the waves are guided along a physical path; examples of guided media are twisted pair, coaxial cable, and optical fiber. Unguided media, also called wireless, provide a means for transmitting electromagnetic waves but do not guide them; examples are propagation through air, vacuum, and seawater.
The term direct link is used to refer to the transmission path between two devices in which signals propagate directly from transmitter to receiver with no intermediate devices, other than amplifiers or repeaters used to increase signal strength. A guided transmission medium is point to point if it provides a direct link between two devices and those are the only two devices sharing the medium. In a multipoint guided configuration, more than two devices share the same medium.
A transmission may be simplex, half duplex, or full duplex. In simplex transmission, signals are transmitted in only one direction; one station is transmitter and the other is receiver. In half-duplex operation, both stations may transmit, but only one at a time. In full-duplex operation, both stations may transmit simultaneously, and the medium is carrying signals in both directions at the same time.
We should note that the definitions just given are the ones in common use in the United States (ANSI definitions). Elsewhere (ITU-T definitions), the term simplex is used to correspond to half duplex and duplex is used to correspond to full duplex.
In this book, we are concerned with electromagnetic signals used as a means to transmit data. The signal is a function of time, but it can also be expressed as a function of frequency; that is, the signal consists of components of different frequencies. It turns out that the frequency domain view of a signal is more important to an understanding of data transmission than a time domain view.
Viewed as a function of time, an electromagnetic signal can be either analog or digital. An analog signal is one in which the signal intensity varies in a smooth fashion over time. A digital signal is one in which the signal intensity maintains a constant level for some period of time and then abruptly changes to another constant level. This is an idealized definition. In fact, the transition from one voltage level to another will not be instantaneous, but there will be a small transition period.
The simplest sort of signal is a periodic signal, in which the same signal pattern repeats over time. Otherwise, a signal is aperiodic.
Stallings DCC8e Figure 3.1 shows an example of both analog or digital signals. The continuous signal might represent speech, and the discrete signal might represent binary 1s and 0s.
In Stallings DCC8e Figure 3.2 a signal is generated by the transmitter and transmitted over a medium. The signal is a function of time, but it can also be expressed as a function of frequency; that is, the signal consists of components of different frequencies. It turns out that the frequency domain view of a signal is more important to an understanding of data transmission than a time domain view. Both views are introduced here.
The sine wave is the fundamental periodic signal. A general sine wave can be represented by three parameters:
peak amplitude (A) - the maximum value or strength of the signal over time; typically measured in volts.
frequency (f) - the rate [in cycles per second, or Hertz (Hz)] at which the signal repeats. An equivalent parameter is the period (T) of a signal, so T = 1/f.
phase () - measure of relative position in time within a single period of a signal, illustrated subsequently
The general sine wave can be written as: s(t) = A sin(2πft + ), known as a sinusoid function.
Stallings DCC8e Figure 3.3 shows the effect of varying each of the three parameters, the horizontal axis is time; the graphs display the value of a signal at a given point in space as a function of time. In part (a) of the figure, the frequency is 1 Hz; thus the period is T = 1 second. Part (b) has the same frequency and phase but a peak amplitude of 0.5. In part (c) we have f = 2, which is equivalent to T = 0.5. Finally, part (d) shows the effect of a phase shift of π/4 radians, which is 45 degrees (2π radians = 360˚ = 1 period).
These same graphs, with a change of scale, can apply with horizontal axes in space. In this case, the graphs display the value of a signal at a given point in time as a function of distance.
There is a simple relationship between the two sine waves, one in time and one in space. The wavelength () of a signal is the distance occupied by a single cycle, or, put another way, the distance between two points of corresponding phase of two consecutive cycles. Assume that the signal is traveling with a velocity v. Then the wavelength is related to the period as follows: = vT. Equivalently, f = v. Of particular relevance to this discussion is the case where v = c, the speed of light in free space, which is approximately 3 108 m/s.
In practice, an electromagnetic signal will be made up of many frequencies. It can be shown, using a discipline known as Fourier analysis, that any signal is made up of components at various frequencies, in which each component is a sinusoid. By adding together enough sinusoidal signals, each with the appropriate amplitude, frequency, and phase, any electromagnetic signal can be constructed.
In Stallings DCC8e Figure 3.4c, the components of this signal are just sine waves of frequencies f and 3f, as shpwn in parts (a) and (b).
So we can say that for each signal, there is a time domain function s(t) that specifies the amplitude of the signal at each instant in time. Similarly, there is a frequency domain function S(f) that specifies the peak amplitude of the constituent frequencies of the signal.
In Stallings DCC8e Figure 3.5a shows the frequency domain function for the signal of Figure 3.4c. Note that, in this case, S(f) is discrete. Figure 3.5b shows the frequency domain function for a single square pulse that has the value 1 between –X/2 and X/2, and is 0 elsewhere. Note that in this case S(f) is continuous and that it has nonzero values indefinitely, although the magnitude of the frequency components rapidly shrinks for larger f. These characteristics are common for real signals.
The spectrum of a signal is the range of frequencies that it contains. For Stallings DCC8e Fig 3.4c, it extends from f to 3f.
The absolute bandwidth of a signal is the width of the spectrum (eg is 2f in Fig 3.4c. Many signals, such as that of Figure 3.5b, have an infinite bandwidth.
Most of the energy in the signal is contained in a relatively narrow band of frequencies known as the effective bandwidth, or just bandwidth.
If a signal includes a component of zero frequency, it is a direct current (dc) or constant component.
Although a given waveform may contain frequencies over a very broad range, as a practical matter any transmission system (transmitter plus medium plus receiver) will be able to accommodate only a limited band of frequencies. This, in turn, limits the data rate that can be carried on the transmission medium.
A square wave has an infinite number of frequency components and hence an infinite bandwidth. However, the peak amplitude of the kth frequency component, kf, is only 1/k, so most of the energy in this waveform is in the first few frequency components.
In general, any digital waveform will have infinite bandwidth. If we attempt to transmit this waveform as a signal over any medium, the transmission system will limit the bandwidth that can be transmitted. For any given medium, the greater the bandwidth transmitted, the greater the cost. The more limited the bandwidth, the greater the distortion, and the greater the potential for error by the receiver.
There is a direct relationship between data rate and bandwidth: the higher the data rate of a signal, the greater is its required effective bandwidth.
Have seen already that analog and digital roughly correspond to continuous and discrete respectively.
Define data as entities that convey meaning, or information.
Signals are electric or electromagnetic representations of data.
Signaling is the physical propagation of the signal along a suitable medium.
Transmission is the communication of data by the propagation and processing of signals.
Analog data take on continuous values in some interval, the most familiar example being audio, which, in the form of acoustic sound waves, can be perceived directly by human beings.
Stallings DCC8e Figure 3.9 shows the acoustic spectrum for human speech and for music (note log scales). Frequency components of typical speech may be found between approximately 100 Hz and 7 kHz, and has a dynamic range of about 25 dB (a shout is approx 300 times louder than whisper).
Another common example of analog data is video, as seen on a TV screen.
The most familiar example of analog information is audio/acoustic sound wave information, eg. human speech. It is easily converted to an electromagnetic signal for transmission as shown in Stallings DCC8e Figure 3.12. All of the sound frequencies, whose amplitude is measured in terms of loudness, are converted into electromagnetic frequencies, whose amplitude is measured in volts. The telephone handset contains a simple mechanism for making such a conversion. In the case of acoustic data (voice), the data can be represented directly by an electromagnetic signal occupying the same spectrum. The spectrum of speech is approximately 100 Hz to 7 kHz, although a much narrower bandwidth will produce acceptable voice reproduction. The standard spectrum for a voice channel is 300 to 3400 Hz.
Now consider video signal, produced by a TV camera. The US standard is 525 lines, with 42 lost during vertical retrace. Thus the horizontal scanning frequency is (525 lines) (30 scan/s) = 15,750 lines per second, or 63.5 µs/line. Of the 63.5 µs, about 11 µs are allowed for horizontal retrace, leaving a total of 52.5 µs per video line. To estimate the bandwidth needed use max frequency when lines alternate black & white. The subjective resolution is about 70% of 525-42, or about 338 lines. Want horizontal and vertical resolutions about the same, and ratio of width to height of a TV screen is 4 : 3, so the horizontal resolution computes to about 4/3 338 = 450 lines. As a worst case, a scanning line would be made up of 450 elements alternating black and white, ie 450/2 = 225 cycles of the wave in 52.5 µs, for a maximum frequency of about 4.2 MHz.
Lastly consider binary data, as generated by terminals, computers, and other data processing equipment and then converted into digital voltage pulses for transmission. This is illustrated in Stallings DCC8e Figure 3.13. A commonly used signal for such data uses two constant (dc) voltage levels, one level for binary 1 and one level for binary 0. Consider the bandwidth of such a signal, which depends on the exact shape of the waveform and the sequence of 1s and 0s. The greater the bandwidth of the signal, the more faithfully it approximates a digital pulse stream.
In a communications system, data are propagated from one point to another by means of electromagnetic signals. Both analog and digital signals may be transmitted on suitable transmission media.
An analog signal is a continuously varying electromagnetic wave that may be propagated over a variety of media, depending on spectrum; examples are wire media, such as twisted pair and coaxial cable; fiber optic cable; and unguided media, such as atmosphere or space propagation.
As Stallings DCC8e Figure 3.14 illustrates, analog signals can be used to transmit both analog data represented by an electromagnetic signal occupying the same spectrum, and digital data using a modem (modulator/demodulator) to modulate the digital data on some carrier frequency.
However, analog signal will become weaker (attenuate) after a certain distance. To achieve longer distances, the analog transmission system includes amplifiers that boost the energy in the signal. Unfortunately, the amplifier also boosts the noise components. With amplifiers cascaded to achieve long distances, the signal becomes more and more distorted. For analog data, such as voice, quite a bit of distortion can be tolerated and the data remain intelligible. However, for digital data, cascaded amplifiers will introduce errors.
A digital signal is a sequence of voltage pulses that may be transmitted over a wire medium; eg. a constant positive voltage level may represent binary 0 and a constant negative voltage level may represent binary 1.
As Stallings DCC8e Figure 3.14 also illustrates, digital signals can be used to transmit both analog signals and digital data. Analog data can converted to digital using a codec (coder-decoder), which takes an analog signal that directly represents the voice data and approximates that signal by a bit stream. At the receiving end, the bit stream is used to reconstruct the analog data. Digital data can be directly represented by digital signals.
A digital signal can be transmitted only a limited distance before attenuation, noise, and other impairments endanger the integrity of the data. To achieve greater distances, repeaters are used. A repeater receives the digital signal, recovers the pattern of 1s and 0s, and retransmits a new signal. Thus the attenuation is overcome.
The principal advantages of digital signaling are that it is generally cheaper than analog signaling and is less susceptible to noise interference. The principal disadvantage is that digital signals suffer more from attenuation than do analog signals. Stallings DCC8e Figure 3.11 shows a sequence of voltage pulses, generated by a source using two voltage levels, and the received voltage some distance down a conducting medium. Because of the attenuation, or reduction, of signal strength at higher frequencies, the pulses become rounded and smaller.
Which is the preferred method of transmission? The answer being supplied by the telecommunications industry and its customers is digital. Both long-haul telecommunications facilities and intra-building services have moved to digital transmission and, where possible, digital signaling techniques, for a range of reasons.
With any communications system, the signal that is received may differ from the signal that is transmitted due to various transmission impairments. For analog signals, these impairments can degrade the signal quality. For digital signals, bit errors may be introduced, such that a binary 1 is transformed into a binary 0 or vice versa.
Attenuation is where the strength of a signal falls off with distance over any transmission medium. For guided media, this is generally exponential and thus is typically expressed as a constant number of decibels per unit distance. For unguided media, attenuation is a more complex function of distance and the makeup of the atmosphere. See Stallings DCC8e Figure 3.11 on previous slide for illustration of attenuation.
Attenuation introduces three considerations for the transmission engineer. First, a received signal must have sufficient strength so that the electronic circuitry in the receiver can detect the signal. Second, the signal must maintain a level sufficiently higher than noise to be received without error. Third, attenuation varies with frequency. The first and second problems are dealt with by attention to signal strength and the use of amplifiers or repeaters. The third problem is particularly noticeable for analog signals. To overcome this problem, techniques are available for equalizing attenuation across a band of frequencies. This is commonly done for voice-grade telephone lines by using loading coils that change the electrical properties of the line; the result is to smooth out attenuation effects. Another approach is to use amplifiers that amplify high frequencies more than lower frequencies.
Delay distortion occurs because the velocity of propagation of a signal through a guided medium varies with frequency. For a bandlimited signal, the velocity tends to be highest near the center frequency and fall off toward the two edges of the band. Thus various frequency components of a signal will arrive at the receiver at different times, resulting in phase shifts between the different frequencies. Delay distortion is particularly critical for digital data, because some of the signal components of one bit position will spill over into other bit positions, causing intersymbol interference. This is a major limitation to maximum bit rate over a transmission channel.
For any data transmission event, the received signal will consist of the transmitted signal, modified by the various distortions imposed by the transmission system, plus additional unwanted signasl, referred to as noise, that are inserted somewhere between transmission and reception. Noise is a major limiting factor in communications system performance. Noise may be divided into four categories.
Thermal noise is due to thermal agitation of electrons. It is present in all electronic devices and transmission media and is a function of temperature. Thermal noise is uniformly distributed across the bandwidths typically used in communications systems and hence is often referred to as white noise. Thermal noise cannot be eliminated and therefore places an upper bound on communications system performance, and. is particularly significant for satellite communication.
When signals at different frequencies share the same transmission medium, the result may be intermodulation noise. The effect of intermodulation noise is to produce signals at a frequency that is the sum or difference of the two original frequencies or multiples of those frequencies, thus possibly interfering with services at these frequencies. It is produced by nonlinearities in the transmitter, receiver, and/or intervening transmission medium.
Crosstalk is an unwanted coupling between signal paths. It can occur by electrical coupling between nearby twisted pairs or, rarely, coax cable lines carrying multiple signals. It can also occur when microwave antennas pick up unwanted signals; although highly directional antennas are used, microwave energy does spread during propagation. Typically, crosstalk is of the same order of magnitude as, or less than, thermal noise.
Impulse noise is noncontinuous, consisting of irregular pulses or noise spikes of short duration and of relatively high amplitude. It is generated from a variety of causes, including external electromagnetic disturbances, such as lightning, and faults and flaws in the communications system. It is generally only a minor annoyance for analog data. However impulse noise is the primary source of error in digital data communication. For example, a sharp spike of energy of 0.01 s duration would not destroy any voice data but would wash out about 560 bits of data being transmitted at 56 kbps.
The maximum rate at which data can be transmitted over a given communication channel, under given conditions, is referred to as the channel capacity. There are four concepts here that we are trying to relate to one another.
• Data rate, in bits per second (bps), at which data can be communicated
• Bandwidth, as constrained by the transmitter and the nature of the transmission medium, expressed in cycles per second, or Hertz
• Noise, average level of noise over the communications path
• Error rate, at which errors occur, where an error is the reception of a 1 when a 0 was transmitted or the reception of a 0 when a 1 was transmitted
All transmission channels of any practical interest are of limited bandwidth, which arise from the physical properties of the transmission medium or from deliberate limitations at the transmitter on the bandwidth to prevent interference from other sources. Want to make as efficient use as possible of a given bandwidth. For digital data, this means that we would like to get as high a data rate as possible at a particular limit of error rate for a given bandwidth. The main constraint on achieving this efficiency is noise.
Consider a noise free channel where the limitation on data rate is simply the bandwidth of the signal. Nyquist states that if the rate of signal transmission is 2B, then a signal with frequencies no greater than B is sufficient to carry the signal rate. Conversely given a bandwidth of B, the highest signal rate that can be carried is 2B. This limitation is due to the effect of intersymbol interference, such as is produced by delay distortion.
If the signals to be transmitted are binary (two voltage levels), then the data rate that can be supported by B Hz is 2B bps. However signals with more than two levels can be used; that is, each signal element can represent more than one bit. For example, if four possible voltage levels are used as signals, then each signal element can represent two bits. With multilevel signaling, the Nyquist formulation becomes: C = 2B log2 M, where M is the number of discrete signal or voltage levels.
So, for a given bandwidth, the data rate can be increased by increasing the number of different signal elements. However, this places an increased burden on the receiver, as it must distinguish one of M possible signal elements. Noise and other impairments on the transmission line will limit the practical value of M.
Consider the relationship among data rate, noise, and error rate. The presence of noise can corrupt one or more bits. If the data rate is increased, then the bits become &quot;shorter&quot; so that more bits are affected by a given pattern of noise. Mathematician Claude Shannondeveloped a formula relating these. For a given level of noise, expect that a greater signal strength would improve the ability to receive data correctly in the presence of noise. The key parameter involved is the signal-to-noise ratio (SNR, or S/N), which is the ratio of the power in a signal to the power contained in the noise that is present at a particular point in the transmission. Typically, this ratio is measured at a receiver, because it is at this point that an attempt is made to process the signal and recover the data. For convenience, this ratio is often reported in decibels. This expresses the amount, in decibels, that the intended signal exceeds the noise level. A high SNR will mean a high-quality signal and a low number of required intermediate repeaters.
The signal-to-noise ratio is important in the transmission of digital data because it sets the upper bound on the achievable data rate. Shannon&apos;s result is that the maximum channel capacity, in bits per second, obeys the equation shown. C is the capacity of the channel in bits per second and B is the bandwidth of the channel in Hertz. The Shannon formula represents the theoretical maximum that can be achieved. In practice, however, only much lower rates are achieved, in part because formula only assumes white noise (thermal noise).