3 data transmission
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UGANDA CHRISTIAN UNIVERSITY
FACULTY OF SCIENCE AND TECHNOLOGY
Department of Information Technology
Computer Networks
Program: BSCS 2
January Semester2013
3. Data Transmissions
Lecturer: Rebecca Asiimwe
Phone Number:+256 712-997- 544 /0704 522 081
Email: [email protected]
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Successful transmission of data depends principally on
two factors:
1. 1. The quality of the signal being transmitted and
2. 2. The characteristics of the transmission medium.
The purpose of this lesson (and the next) is to provide
students with knowledge on these two factorsbeginning with the concepts and terms that will be refer
red to throughout this lesson and subsequent lessons.3
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Concepts and Terminology (1)
Data transmission occurs between transmitter and
receiver over some transmission mediumwhich canbe classifiedasguidedor unguidedmedia. In both
cases, communication is in the form of electromagnetic
waves.
Guidedmedia(waves are guided along a physical
path)
e.g. twisted pair, optical fiber, coaxial cable
Unguidedmedia(wireless transmission- waves not
guided)
e.g. air, water, vacuum 4
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Terminology (2)
Direct link Refers to transmission path between two devices in
which signals propagate directly from transmitter to
receiver with no intermediate devices other than
repeaters or amplifiers used to increase signal strength
Point-to-pointmedium in guided media provides a;
Direct link between two devices and those are theonly devices sharing the medium.
Multi-point
More than two devices share the link5
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Terminology (3)
Transmission may be simplex, half duplex of full duplex.
Simplex transmission
Signals are transmitted in only one direction
e.g. Television Half duplex transmission
Either direction, but only one way at a time
e.g. police radio
Full duplex transmission Both directions at the same time
e.g. telephone6
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Data Flow
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Data Flow
Communication between two devices can be simplex, half-
duplex, or Full-duplex.
Simplex mode: The communication is unidirectional, as
on a one-way street. Only one of the two devices on a
link can transmit; the other can only receive e.g.
Keyboards and traditional monitors. The keyboard can only
introduce input; the monitor can only accept output.
The simplex mode can use the entire capacity of the
channel to send data in one direction 8
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Data Flow contd
In half-duplex mode, each station can both transmit andreceive, but not at the same time.:
When one device is sending, the other can only receive and
vice versa.
The half-duplex mode is like a one-lane road with trafficallowed in both directions. I.e. When cars are travelling in
one direction, cars going the other way must wait.
The entire capacity of a channel is taken over by
whichever of the two devices is transmitting at the time
. Walkie-talkies and CB (citizens band) radios are both half-
duplex systems.9
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Data Flow contd
In full-duplex mode, (duplex), both stations can transmit
and receive simultaneously/ at the same time.
Signals are transmitted in both directions at the same time
and share the capacity of the link. This sharing can occurin two ways: Either the link must contain two physically
separate transmission paths, one for sending and the other
for receiving; or the capacity of the channel is divided
between signals travelling in both directions. E.g telephone
network.
Used when communication in both directions is required all
the time.10
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Frequency and Bandwidth
Time domain concepts Analog signal
Varies in a smooth way over time
Digital signal
Maintains a constant level then changes to
another constant level
Periodic signal
Pattern repeated over time Aperiodic signal
Pattern not repeated over time11
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Analogue & Digital Signals
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Periodic
Signals
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Sine Wave
The sine wave is a fundamental periodic signal and is
represented by the following parameters.
Peak Amplitude (A)
maximum strength of signal over time and is measured in volts
Frequency (f)
Rate of change of signal / the rate at which the signal repeats
in cycles per second or Hertz (Hz)
Frequency can also be defined as the number of oscillations/
cycles per second.
Period= amount of time taken for one repetition (T) T = 1/f so F=1/T
Phase () Relative position in time of the signal. 14
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Varying Sine Waves
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In figure a)
Frequency= 1Hz
Period=1second
Figure b) has the same frequency and phase but a
peak amplitude of 0.5 volts
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In figure c)
Frequency= 2 Hz
Period T=0.5 seconds
In d) we notice the effect of a phase shift
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Wavelength ()
Distance occupied by one cycle
Assuming signal velocity v = vT f = v v = 3*108 ms-1 (speed of light in free space)
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Key SI multiples for Hertz (Hz)
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SI = International System of Units
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Exercise:
1. Given a wave moving at a frequency of 5MHz, find:
a) The period and
b) Wave length of the signal.
2. Given a signal with wave length of 3,000,000,0
00cm
a) Find the frequency at which this signal is moving.
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Frequency Domain Concepts, Spectrum
& Bandwidth
In practice, signalsare usually made up of many frequ
encies
Components of a signal are sine waves
Spectrum This is the range of frequencies contained in signal
Absolute bandwidth
width of spectrum
Effective bandwidth Often just bandwidth
Narrow band of frequencies containing most of theenergy/ band within which most of the signal energy isconcentrated
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Data Rate and Bandwidth
Any transmission system has a limited band of frequencies
This limits the data rate that can be carried
Although a given waveform may contain frequencie
s over a very broad range, as a practical matter, an
y transmission system (transmitter plus medium p
lus receiver) will be able to accommodate only a
limited band of frequencies. This can be evidentwhen listening to your radio stations, there are parti
cular frequencies at which the strength of the signal
is high and you can clearly get the transmission. 23
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READ ABOUT ANALOG AND DIGITAL:
DATA
SIGNALS
AND TRANSMISSION
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Analog and Digital Data Transmission
Data Entities that convey meaning or information
Signals
Electric or electromagnetic representations of dat
a
Signaling-Physical propagation of the signal alo
ng a suitable medium.
Transmission Communication of data by propagation and proce
ssing of signals which can either be analog or digi
tal. 25
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Analog and Digital Data
AnalogAnalog data takes on continuous values withi
n some interval
e.g. sound, video are continuously varying pat
terns of intensity. Most data collected by sens
ors such as temperature and pressure are co
ntinuous.
Digital Digital data takes on discrete values
e.g. text, integers 26
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Analog and Digital Signals
In a communications system, data are propagated from
one point to another by means of electromagnetic signals.
An analog signal is a continuously varying electromagne
tic wave that may be propagated over a variety of mediadepending on the spectrum for example wire media such
as twisted pair and coaxial cable, fiber optic, space for u
nguided media.
Digital signals is a sequence of voltage pulses that may
be transmitted over a wire medium for example a consta
nt positive voltage level may represent binary 0 and a co
nstant negative voltage level may represent binary 127
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Advantages & Disadvantages of Digital
Principal Advantages:
Cheaper
Less vulnerable to noise interference
Principal Disadvantages:
Suffer more from attenuation than do analogy si
gnals. Pulses become rounded and smaller
Leads to loss of information 28
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Attenuation of Digital Signals
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Data and Signals
Digital signals are usually used for digital data and analog
signals for analog data
But we can use an analog signal to carry digital data and t
his can be possible through the use of a modem that conv
erts a series of binary voltage pulses into an analog signal
by encoding the digital data onto a carrier frequency.
The resulting signal occupies a certain spectrum of freque
ncy centered about the carrier and may be propagated acr
oss a medium suitable for that carrier. The most common
modems represent digital data in the voice spectrum and hence allow those data to be propagated over ordinary voic
e-grade telephone lines. At the other end of the line, anoth
er modem demodulates the signal to recover the original d
ata.
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In an operation very similar to that performed bya modem, analog data can be represented by di
gital signals.
The device that performs this function for voice d
ata is a codec (coder-decoder). In essence the c
odec takes the analog signal that directly repres
ents the voice data and approximates that signalby a bit stream. At the receiving end the bit strea
m is used to reconstruct the analog data.31
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Analog Signals Carrying Analog and Digital
Data
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Digital Signals Carrying Analog and Digital D
ata
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Analog Transmission
Analog signal transmitted without regard to cont
ent
May be analog or digital data
Attenuated over distance
Use amplifiers to boost signal-Also amplifies noi
se
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Digital Transmission
Concerned with content Integrity endangered by noise, attenuation etc.
Repeaters used
Repeater receives signal
Extracts bit pattern and recovers pattern
Retransmits new signal
Attenuation is overcome
Noise is not amplified
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Advantages of Digital Transmission
Digital technology Low cost LSI/VLSI technology (Large scale integra
tion caused a drop in cost and size of digital circuitry)
Data integrity
Repeaters rather than amplifiers are used so the effects of noise and other impairments are not cumulative. Signals can be propagated for longer distances and over lower quality lines while maintainingintegrity.
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Capacity utilization High bandwidth links - economical
High degree of multiplexing needed to utilize capacity is easily achieved with digital techniques
Security & Privacy
Encryption
Integration Can treat analog and digital data similarly and e
conomies of scale and convenience can be achieved by integrating voice, video and digital data.
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Transmission Impairments
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Transmission Impairments
Signal received may differ from signal transmitted
Transmission impairments like:
Attenuation and attenuation distortion
Delay distortion
Noise
Cause: Degradation of signal quality (Analog)
Bit errors (Digital) 39
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Attenuation
Signal strength falls off with distance Depends on medium
Received signal strength: must be enough to be detected
must be sufficiently higher than noise to be
received without error Attenuation is an increasing function of
frequency40
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Delay Distortion
Only in guided media
Propagation velocity varies with frequency
Signal components propagate at different speeds
in the wire. This speed difference leads to
distortion of the signal received at the other end.
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Noise (1)
Defined as additional signals inserted betweentransmitter and receiver
1. Thermal
Due to thermal agitation of electrons
Uniformly distributed over the whole frequency bandwidth Also called White noise
2. Intermodulation
Signals that are the sum and difference of originalfrequencies sharing a medium
Eg. Signal moving at F1 combines with that at F2 and the
resultant F3 affects what is moving at F3 42
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Noise (2)
3. Crosstalk
A signal from one line is picked up by another.
Crosstalk is caused by inductive coupling between two
wires that are close to each other. Sometimes when
talking on the telephone, you can hear another conversationin the background. That is crosstalk
Electrical coupling between nearby twisted pairs
4. Impulse Irregular pulses or spikes
e.g. External electromagnetic interference, lightening
Take a short duration and at a High amplitude43
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Channel Capacity
We have seen that there are a variety of
impairments that distort or corrupt a signal.
For digital data, the question that then arises is
to what extent these impairments limit the data
rate that can be achieved. The maximum rate a
t which data can be transmitted over a given
communication path, or channel, under givenconditions, is referred to as the channel capa
city.44
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Four important concepts in defining capacity Data rate: The rate, in bits per second (bps), at which
data can be communicated
Bandwidth: The bandwidth of the transmitted signal as con
strained by the transmitter and the nature of thetransmission medium, expressed in cycles per second, or
Hertz
Noise: The average level of noise over the communication
path Bit Error Rate (BER) The rate at which errors occur, where
an error is the reception of a1 when a 0 was transmitted or
the reception of a 0 when a 1 was transmitted 45
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BER is the number of bit errors divided by the
total number of transferred bits during a studied
time interval often expressed as a percentage.
As an example, assume this transmitted bit sequence: 0 1 1 0 0 0 1 0 1 1,
and the following received bit sequence:
0 0 1 0 1 0 1 0 0 1,
The number of bit errors (the underlined bits) is in this
case 3. The BER is 3 incorrect bits divided by 10
transferred bits, resulting in a BER of 0.3 or 30%.46
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Nyquist Bandwidth
Two theoretical formulas were developed to calculate the
data rate: one by Nyquistfor a noiselesschannel.
Another by Shannonfor a noisychannel. For a noiseless
channel, Nyquist formula defines the theoretical
maximum bit rate.
If rate of signal transmission is 2B then signal with
frequencies no greater than B is sufficient to carry signal
rate. Given bandwidth B, highest signal rate is 2B
Given a binary signal, the data rate supported by B Hz is2B bps
The data rate can be increased by using M signal levels
C= 2B log2M47
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Example
48
Consider a voice channel being used, via modem, to
transmit digital data. Assume a bandwidth of 3100 Hz.
Then the Nyquist capacity, C, of the channel is
2B=2X3100 = 6200bps.For M=8, a value used with some modems, C
becomes 18,600 bps for a bandwidth of 3100 Hz.
C= 2B log2MC=2X3100 log28C=2X3100X3log22C=6200X3 = 18 600bps
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According to this formula, there are two means to
enhance the data rate. First, if we use a large number
of signaling levels M, the capacity increases.
Thus, the receiver will decide much easier if it has todistinguish between only two signaling levels (M=2) than
in the case of a much larger number of levels (e.g. M=64).
By the other hand, another way to increase the data
rate is by increasing the bandwidth. As already seen,bandwidth is always a scarce resource, limited by physical
constraints and regulations.49
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Another example: We need to send information at a
data rate of 256 kbps, over a noiseless channel with
16KHz of bandwidth. How many signaling levels do
we need?
Answer: log2M=C/2B=256*103/2*16*103=8. It
follows that M=28=256 levels.
OR.
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C=256kbps = 256000bps
B=16KHz = 16000Hz
M?
C=2Blog2M
256000 = 2x16000log2M
256000 = 32000log2M
256000 = 32000log2M
32000 32000
256/32=log2M
M=2 (256/32)
M=2 8
M= 256 bit levels51
Comment: This shows quite
a large number of levels
which are required, and the
receiver task is difficult. The
reason behind is that,
through quite a lowbandwidth we try to send a
fairly high data rate.
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Parameters as subjects of the equation
C= 2B X logM
log2
B= C
logM 2
log2
C = 2B log2M C = log2M
2B
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C= 2B log2M
M = 2 (C/2B)
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Logarithm Principle
If we call the three numbers in each case a, bandc, so that
ab= c
then we can say that the logarithm of cto the base
ais b, and we write
logac = b
That is to say, the logarithm of the number cto the
base a, is the power to which amust be raised toget c.
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Shannon Capacity Formula
In reality, we cannot have a noiseless channel; thechannel is always noisy. In 1944,Claude Shannon
Introduced a formula, called the Shannon capacity, to
determine the theoretical highest data rate for a noisy
channel:
Capacity (C) =Bandwidth (B) X log2(1 +SNR)
Where: Bandwidth (B) is the bandwidth of the channel,
SNR is the signal-to noise ratio,
Capacity is the capacity of the channel in bits per second.54
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Shannon Capacity Formula
This formula defines a characteristic of the
channel, not the method of transmission, it is
because of this that signal levels are not
indicated. And given a noisy channel , this
implies that we cannot achieve the maximum
data transfer rate even when signal levels are in
creased.
Considers data rate, noise and error rate 55
Sh C it F l
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Shannon Capacity Formula
With faster data rate, in event of bursts of noise,
more bits are affected.
At given noise level, high data rate means
higher error rate
Signal to noise ration (in decibels)
SNRdb=10 log10 (signal/noise)
Capacity C=B log2(1+SNR)
Note: the decibel is used to measure the changes
in the strength of a signal. It can also be used to
measure the changes in the strength of a signal)56
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Try-Out Questions
1. A digital signaling system is required to operateat 9600 bps
a) if a signal element encodes a 4 bit word, whatis the minimum required bandwidth of thechannel?
b) Repeat part a) for the case of an 8 bit word.
2. Given a channel with an intended capacity of 20
Mbps, the bandwidth of the channel is 3MHz.2. What signal to noise ratio is required to achieve
3. this capacity? 57
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Try-Out Questions
b) What is the channel capacity for the tele-printer
channel with a 300Hz bandwidth and a SNR of
3db?
3. Given a signal power of 15 mill watts(mW)
moving through a channel with capacity of 20
bps and noise power of 2mW, find the BW ofthe channel.
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Required Reading
Chapter 3 of
Behrouz A. Forouzan & Sophia Chung F
egans book on Data Communications an
d Networking.
And
Chapter 3 of William Stallings book on
Data and Computer Communications59
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4. Transmission Media (Gu
ided and Unguided)
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