Modern Communication Trends (EC0422) Unit-1 Principles of ...
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Modern Communication Trends (EC0422)Unit-1
Principles of Modern Communication System
B.Tech (Electronics and Communication)Semester-IV
Hardik Prajapati
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Communication System• The study of communication system is divided
into two types:
• How communication system works?• How they perform in the presence of noise.?
Distortion/noise
Input transduc
erTransmitt
er Receiver Output transducerChannel
Input message
Input transducer Transmitter
Output message
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Some basic and important parameters
• Source(i/p message)• Input Transducer• Transmitter• Channel• Receiver• Output transducer• Distortion: linear & nonlinear distortion• Noise• Attenuation• SNR: signal power/noise power
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Concept of Bandwidth• Bandwidth is defined as the portion o f e l e c t ro m a g n e t i c s p e c t r u m occupied by a signal
• It may also define as the frequency range over which an information signal is transmitted.
• Bandwidth is the difference between upper & lower frequency limits of the signal.
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Bit Rate• Data Rate: The data rate/ Bit rate is a term
to denote the transmission speed, or the number of bits per second transferred.
• In telecommunications, it is common use to express the data rate in bits per seconds (bit/s),
• In data communication, the data rate is often expressed in bytes per second (B/s).
• The term bit rate is a synonym for data transfer rate(or simply data rate)
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Signal to Noise RatioSignal to Noise ratio(SNR) is defined as the ratio of signal power to the noise power corrupting the signal.
SNR = average signal power/average noise power
Because many signals have a very wide dynamic range, SNRs are often expressed using the logarithmic decibel scale
High SNR means the signal is less corrupted by noise
Signal to Noise ratio(SNR)
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Channel Bandwidth
• Channel Bandwidth – the range of signal bandwidths allowed by a communication channel without significant loss of energy (attenuation).
• Channel Capacity or Maximum Data rate – the maximum rate (in bps) at which data can be transmitted over a given communication link, or channel or Channel capacity is the maximum no. of binary symbols that can be transmitted per second with a probability of error arbitrarily zero
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Channel Bandwidth• Nyquist’s formulae for multi-level signaling for a noiseless
channel is C = 2 * B * log M,• where C is the channel capacity in bits per second, B is the
maximum bandwidth allowed by the channel, M is the number of different signaling values or symbols and log is to the base 2.
For example, assume a noiseless 3-kHz channel.• If binary signals are used, then M= 2 and hence maximum
channel capacity or achievable data rate is C = 2 * 3000 * log 2 = 6000 bps.
• Similarly, if QPSK is used instead of binary signaling, then M = 4. In that case, the maximum channel capacity is C = 2 * 3000 * log 4 = 2 * 3000 * 2 = 12000bps.
• For noisy channel ,Shannon capacity C = B log2 (1+SNR) bps
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Channel Bandwidth
• Fo r examp le , f o r a channe l w i th bandwidth of 3 KHz and with a S/N value of 1000, like that of a typical telephone line, the maximum channel capacity is
C = 3000 * log (1 + 1000) = 30000 bps (approx.)
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• Assume that SNRdB = 36 and the channe l bandwid th i s 2 MHz . Calcu late theoret ica l channel capacity.
• The power of a signal is 10 mW and the power of noise is 1 µW; what are the values of SNR and SNRdB
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Analog and Digital signalsAnalog signal Continuous time Continuous amplitude
time
Amplitude
time
Amplitude
Digital signal Discrete time, Discrete amplitude
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• Digital signals can be regenerated• Digital modulators are more power and
bandwidth efficient• Efficient trade-off between power and
bandwidth• Signal compression• Error detection and correction• Common signal format for all types of signals• Technology offers design flexibility and
miniaturization through VLSI, DSP etc.
Advantages of Digital over Analog
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Disadvantages of Digital communication
• Because o f ana log to d ig i ta l conversion, the data rate becomes high. Hence more transmission bandwidth is required for Digital communication.
• Dig i ta l communicat ion needs synchronization
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Regeneration of digital signalOriginal
Time
Amplitude
Received
Detection threshold
Sampling instants
Time
Amplitude
Time
Amplitude
Regenerated waveform
(a)
(b)
(c) Fig.1.4
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Performance of digital systems
Digital circuits, being switching circuits, consume less powerDigital circuit behavior is less susceptible to variations in power supply, temperature, ageing and tolerance in component valuesBehav ior o f d ig i ta l sys tems i s eas i ly predictable, hence, systems are more reliableDigital systems are easy to design with many design tools availableDigital circuits are more dense and hence, systems can be compact
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Modulation• Modulation is a way of sending signals of
low frequency over long distances without a huge loss of energy by the use of another wave of very high frequency called a carrier wave.
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Need of Modulation• To remove Interference• Antenna Size• Reduction of Noise
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Advantages of Modulation
• Reduction in the height of antenna• Avoids mixing of signals• I n c r e a s e s t h e r a n g e o f
communication• Multiplexing is possible• Improves quality of reception
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Classification of Modulation Methods
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Principles of Amplitude Modulation
• A process in which the amplitude of a high frequency carrier signal is varied in proportion to the instantaneous amplitude of the modulating signal
• Obtained by multiplying carrier (high frequency) with the modulating signal (low frequency) using a mixer, multiplier or modulator
High frequency carrier
Modulating signal
(Information)
Modulated signal
RF signal
Modulator
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AM Signal Waveform
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Amplitude Modulation Theory
Assume a sinusoidal modulating signal
The modulating signal shows two frequency components around the carrier frequency, separated by the modulating signal frequency
(fc + fm) and (fc - fm) 23
[ ]))(2sin())(2sin(2
)2sin()2cos()2sin()2cos(
)()()( signal Modulated)2sin()( signalCarrier
)2cos()( signal Modulating
tfftffVVtftfVVtfVtfV
tvtvtvtfVtv
tfVtv
mcmccm
cmcm
ccmm
cmam
ccc
mmm
-++=
=====
pp
pppp
pp
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Amplitude Modulation Waveform
24
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AM Spectrum with single frequency modulation
25
0 fc-fm fc fc+fm Frequency
0 fm fc Frequency
Carrier
Modulating signal
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AM Spectrum with a modulation band
26
0 f1 f2 fc Frequency
Upper sideba
nd
Lower sideba
nd
0 fc-f2 fc-f1 fc fc+f1 fc+f2 Frequency
Mirror images around carrier
carrierSignal band
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Modulation Index
• Also known as coefficient of modulation, describes the depth of modulation
( ) %100%100/Mmodulation Percentage
´=´= mEE cm
27
cm EEm /=
carrier dunmodulate theof amplitudepeak signal modulating theof amplitudepeak
index modulation where
===
c
m
EEm
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Modulation coefficient, Em, and Ec
28
Em
Vmax
VminEc
Vmax= (Ec + Em ) = Ec (1+ m),
Vmin= (Ec – Em)= Ec (1- m)
Ec / Em = m,
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AM – Percentage Modulation
Under modulated (<100%)
100% modulated
Envelope Detector
Can be used
Envelope DetectorGives Distorted signal
Over Modulated (>100%)
29
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Sideband Amplitudes
30
( )
( )
( )
( )( )( )minmax
minmax
minmax
minmax
minmax
minmax
21212121
VVVV
VV
VVm
VVE
VVE
c
m
+-
=+
-=
+=
-=
( )minmax412/ VVEEE
EEE
mlsfusf
lsfusfm
-===
+=
The sidebands have half the modulating signal amplitude
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Percent modulation of an AM DSBFC envelope:
(a) modulating signal; (b) unmodulated carrier; (c)
50% modulated wave; (d) 100% modulated wave
31
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AM Voltage distribution
32
[ ][ ]
[ ]
frequency side Upper frequency sideLower Carrier
])(2cos[2
])(2cos[2
)2sin(
)2sin()2sin()2sin()2sin()2sin()2sin(
)2sin()]2sin(1[)2sin()2sin(
)2sin()2sin()(
carrier dunmodulatesignal modulating
tffmEtffmEtfE
tftfmEtfEtfEtfmtfE
tfEtfmtftfmEE
tftfEEtv
mcc
mcc
cc
mcccc
ccmcc
ccm
cmcc
cmmcam
+--+=
+=+=
+=+=+=
ppp
pppppp
pppp
pp
)2sin(iscarrier modulated of amplitudePeak
tfEEE mmcam p+=
)2sin(by modulated is )2sin()(carrier aWhen tfEtfEtv mmccc pp=
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Voltage spectrum for an AM DSBFC wave
33
Carrier Ec
flsf fc fusf Freq
Vpeak
Vlsf =mEc/2 Vusf =mEc/2
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Power Spectrum of AM-DSB
34
2)2/( is resistance 1 acrosscarrier in thePower
22 c
ccEEP ==W
8221
221
is resistance 1 across sidebandslower andupper in thePower 2222ccm
lsbusbEmmEEPP =÷
øö
çèæ=÷
øö
çèæ==
W
÷÷ø
öççè
æ+=
÷÷ø
öççè
æ+=+=
++=++=
W
21
21
242
882
is resistance 1 across signal modulated in thepower Total
2
22222
22222
mP
mEEmE
EmEmEPPPP
c
ccc
ccclsbusbct
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AM-DSB: Voltage and Power Spectra
35
Carrier Ec
flsf fc fusf Freq
Vpeak
Vlsf =mEc/2
Vusf =mEc/2
Pc=Ec2/2
flsf fc fusf Freq
Power
Plsf =m2Ec2/8
Pusf =m2Ec2/8
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Sideband Amplitudes
( )
( )
( )
( )( )( )minmax
minmax
minmax
minmax
minmax
minmax
21212121
VVVV
VV
VVm
VVE
VVE
c
m
+-=
+
-=
+=
-=
( )minmax412/ VVEEE
EEE
mlsfusf
lsfusfm
-===
+=
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Amplitude Modulation• The tuned circuit of the oscillator in a simple AM
transmitter employs a 40µH co i l & 12nF capacitor. If the oscillator output is modulated by audio frequency of 5KHz, what are the lower and upper sideband frequencies and the bandwidth required to transmit the AM wave? (235K,225K, 10KHz)
• Calculate the modulation index & percentage modulat ion i f instantaneous vo l tages of modulating signal and carrier are 40 sinwmt & 50sinwct .
(80%)
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• An audio frequency signal 10 sin2π*500t is used to amplitude modulate a carrier of 50 sin2π*105t. Calculate
(i) Modulation Index (20%)(ii) Sideband frequencies ( 100,99K)(iii)Amplitude of each sideband frequencies
(5V)(iv)Bandwidth required (1K)
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• A broadcast transmitter radiates 20 kw when the modulation percentage is 75. calculate carrier power & ca rr i e r cu rren t i f t o ta l power delivered to the load of 600 Ω.
• Calculate total modulation index if the carr ie r wave i s ampl i tude modulated by three modulating signals with modulation indices 0.6, 0.3 & 0.4 respectively. (0.78)
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• The antenna current of an AM transmitter is 8 A if only the carrier is sent, but it increases to 8.93 A, i f the carrier is modulated by a single sinusoidal wave. Determine the percentage modulation. Also f ind the antenna current i f the percentage of modulation changes to 0.8 (Ans: m=70%, I=9.19 A)
• A carrier wave is represented by the expression Vc = 10 sin ωt. Draw the waveform of an AM wave for m=0.5
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Angle Modulation
deviation phase ousInstantane)(2carrier offrequency Radian
(volts)carrier of amplitudePeak signal modulated Angle )( where
)](cos[)(
c
===
==
+=
tf
Vtm
ttVtm
c
c
cc
qpw
qw
When frequency & phase of the carrier is varied by the modulating signal, then it is called angle modulation.
There are two types of angle modulation (1) Frequency Modulation (2) Phase modulation
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Angle Modulation
(t)vθ(t)
(t)v
m
m
µas expressed is modulation angle the
signal, modulating a of amplitude usinstataneo theis If)](cos[)( ttVtm cc qw +=
When frequency of the carrier varies as per amplitude variations of modulating signal, then it is called frequency modulation.
When phase of the carrier varies as per amplitude variations of modulating signal, then it is called phase modulation.
NOTE: in both the cases amplitude of the modulated carrier remains constant
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AM and FM
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PM and FM
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FM and PM[ ][ ][ ]
[ ][ ][ ]
úû
ùêë
é+=
+=
+=
+=
=
+=
+=
+=
=
òò
ò
)sin(cos
)cos(cos
cos
)(cos)(
modulationfrequency For
)cos(cos
cos
)(cos)(
modulation phaseFor
tVk
tV
dttVktV
dt(t)vktV
ttVtm
dt(t)vkθ(t)
tVktV
(t)vktV
ttVtm
(t)vkθ(t)
mm
mfcc
mmfcc
mfcc
ccpm
mf
mmpcc
mpcc
ccpm
mp
ww
w
ww
w
qw
www
qw
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Phase deviation & modulation index (PM)
[ ][ ]
(volts) signal modulating of amplitudepeak
per volt) (radiansy sensitivitdeviation
(radians)deviation phasepeak index modulationΔ where
)cos(cos
)cos(cos)(
=
=
====
+=
+=
m
p
mpp
mpcc
mmpccpm
V
k
θVkm
tmtV
tVktVtm
wwww
The amount by which the carrier frequency is varied from its unmodulated value, called deviation, is made proportional to the instantaneous amplitude of modulating voltage
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Modulation index in FM[ ] [ ][ ][ ]
mm
mff
m
m
f
m
mff
mfcc
mm
mfccmmfcc
mfccccfm
ff
fVk
m
ωV
k
Vkm
tmtV
tVk
tVdttVktV
dt(t)vktVttVtm
D==
==
=
==
+=
úû
ùêë
é+=+=
+=+=
ò
ò
Hz/voltin expressed isy sensityvitdeviation If
econd)(radians/sfrequency radian (volts) signal modulating of amplitudepeak
(Hz/volt)y sensitivitdeviation
index modulation where
)sin(cos
)sin(cos)cos(cos
cos)(cos)(
w
ww
ww
www
wqw
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Carson’s rule for FM Bandwidth
Hz )1(2 )1(2 )(2 mff/ffffB mmmm +=D+=+D=
m
m
ffmff
/index modulation(Hz)frequency signal modulatinghighest
(Hz)deviation frequency peak where
D====D
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Disadvantages of FM compared to AM
• The BW requirement of FM is much larger than AM.
• The FM transmitt ing and receiving equipments are more complex and costly.
• its area of reception is limited only to LOS, this this is much lower than area covered by AM.
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FM & PMSr. No. FM PM
12 Frequency deviation is
p r o p o r t i o n a l t o modulating voltage
Phase deviation is proportional to modulating voltage
3 A s s o c i a t e d w i t h t h e c h a n g e i n c a r r i e r frequency, there is some phase change
Associated with the change in phase ,there is some change in carrier frequency
4 Mf is proportional to the modulation voltage as well as the modulating frequency fm
M f i s p ro p o r t i o n a l o n l y t o modulating voltage
5 It is possible to receive FM on a PM receiver
It is possible to receive PM on a FM receiver
[ ])cos(cos)( tmtVtm mpcc ww +=[ ])cos(cos)( tmtVtm mfcc ww +=
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Sr. No.
FM PM
6 Noise immunity is better than AM & PM
Noise immunity is better than AM but worst than FM
7 Signal to noise ratio is better than that of PM
Signal to noise ratio is inferior to that in FM
8 FM is widely used PM i s used i n some mob i l e systems
9 Amplitude of FM wave is Constant
Amplitude of the PM wave is Constant
10 The frequency deviation is p r o p o r t i o n a l t o t h e modulating voltage only
The f requency dev ia t ion i s p r o p o r t i o n a l t o b o t h t h e modulating voltage & Modulating Frequency
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AM & FMSr. No.
AM FM
1 Amplitude of carrier is varied according to amplitude of modulating signal
Frequency of the carrier is varied according to amplitude of the modulating signal
2 AM has poor fidelity due to narrow bandwidth
Since the BW is large, fidelity is better
3 Noise interference is more It is minimum
4 Adjacent interference is present
It is avoided due to wide frequency spectrum
5 Less efficient as most of the power is in carrier.
All the transmitted power is useful
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Sr. No.
AM FM
6 AM broadcast operates in MF & HF range
FM broadcast operates in VHF & UHF
7 In AM only carrier and two sidebands are present
Infinite number of sidebands are present
8 The transmitter equipment is simple
The transmitter equipment is Complex
9 Transmitted power varies according to modulation index
It remains constant irrespective of MI
10 Depth of modulation have limitation, it can not be increased above 1
Depth of modulation have no limitation, it can be increased by increasing frequency deviation.
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Digital Continuous Wave Modulation techniques
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Modulation: Amplitude-Shift Keying (ASK)
ASK encodes digital data by modulating the carrier's amplitude between two or more levels. Suppose a signal with amplitude 1 represents a binary 0 and a signal with amplitude 2 represents a binary 1. AM is more sensitive to noise than other modulation techniques => AM is not widely used in data transmission.
A period is the amount of time before a wave repeats itself.
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Modulation: Frequency-Shift Keying (FSK)
Encodes digital data by modulating the carrier's frequency between two or more values. For example, a binary 0 would be one frequency (or group of frequencies) and a binary 1 would be some other frequency (or group of frequencies). FSK is less susceptible to corruption than ASK. Many modems use FSK to convert digital data to analogue signals.
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Modulation: Phase-Shift Keying (PSK) Phase-shift keying encodes digital data by shifting the phase of the carrier. PSK-encoded data is highly resistant to corruption.
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PSK