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Communications Systems

S K Gupta
Modulation, coding, compression and encryption techniques
1

Analogue modulation: time domain (waveforms), frequency
domain (spectra), amplitude modulation (am), frequency
modulation (fm), phase modulation (pm)

2

Digital modulation: waveforms and spectra, Frequency Shift
Keying (FSK), Binary Phase Shift Keying (BPSK) [including
Gaussian Minimum Shift Keying (GMSK)], Quadrature
Phase Shift Keying (QPSK) [including π/4QPSK]

3

Error coding: General principles of block, convolutional,
parity,
interleaving

4

Compression: Regular Pulse Excitation – Linear Predictive
Coding – Long Term Prediction (RPE-LPC-LTP)
Overview
Communication is the transfer of information from one place to
another.
This should be done
- as efficiently as possible
- with as much fidelity/reliability as possible
- as securely as possible
Communication System: Components/subsystems act together to
accomplish information transfer/exchange.
Elements of a Communication System

Input
message

Output
message
Input
Transducer

Output
Transducer
Transmitter

Channel

Receiver
Input Transducer: The message produced by a source must be
converted by a transducer to a form suitable for the particular type of
communication system.
Example: In electrical communications, speech waves are converted
by a microphone to voltage variation.

Transmitter: The transmitter processes the input signal to produce a
signal suits to the characteristics of the transmission channel.
Signal processing for transmission almost always involves
modulation and may also include coding. In addition to modulation,
other functions performed by the transmitter are amplification,
filtering and coupling the modulated signal to the channel.
Channel: The channel can have different forms: The atmosphere (or
free space), coaxial cable, fiber optic, waveguide, etc.
The signal undergoes some amount of degradation from noise,
interference and distortion
Receiver: The receiver’s function is to extract the desired signal
from the received signal at the channel output and to convert it to a
form suitable for the output transducer.
Other functions performed by the receiver: amplification (the
received signal may be extremely weak), demodulation and filtering.
Output Transducer: Converts the electric signal at its input into the
form desired by the system user.
Example: Loudspeaker, personal computer (PC), tape recorders.
To be transmitted, Information (Data)
must be transformed to electromagnetic
signals.
Electromagnetic Waves

.
Electromagnetic Waves

.
Electromagnetic Spectrum

http://www.edumedia-sciences.com/a185_l2-transverseelectromagnetic-wave.html
Electromagnetic Spectrum
Wave length

1 cm

Frequency
Designations

Transmission
Media

Propagation
Modes

Extra High
Frequency (EHF)

Satellite,
Microwave relay,
Earth-satellite radar.

Wave guide
10 cm

Super High
Frequency (SHF)

1m

Ultra High
Frequency (UHF)

10m

Very High
Frequency (VHF)

100m

High Frequency
(HF)

1 km

Medium High
Frequency (MF)

10 km

Low Frequency
(LF)

100km

Very Low
Frequency (VLF)

Representative
Applications

Sky wave radio

100 GHz

10 GHz

Line-of-sight radio

Coaxial Cable

Frequency

Wireless
comm.
service,
1 GHz
Cellular, pagers, UHF
TV
Mobile, Aeronautical,
VHF TV and FM,
mobile radio
100 MHz
Amateur radio, Civil
Defense
10 MHz

Ground wave
radio
Wire pairs

AM broadcasting
1 MHz
Aeronautical,
Submarine
cable, 100 kHz
Navigation,
Transoceanic radio
10 kHz
1.6 Radio Wave Propagation Modes
1 Ground Wave Propagation
Follows contour of the earth Can Propagate considerable distances
Frequencies up to 2 MHz Example : AM radio
2 Sky Wave Propagation
Signal reflected from ionized layer
of atmosphere. Signal can travel
a number of hops, back and forth
Examples SW radio
3 Line-of-Sight Propagation
Transmitting and receiving antennas
must be within line of sight
example
Satellite communication
Ground communication
ANALOG AND DIGITAL
Data (Information) can be analog or digital. The term
analog data refers to information that is continuous;
digital data refers to information that has discrete states.
Analog data take on continuous values. Digital data take
on discrete values.
Topics discussed in this section:
Analog and Digital Data
Analog and Digital Signals
Periodic and Nonperiodic Signals
Data can be analog or digital.
Analog data are continuous and take
continuous values.
Digital data have discrete states and
take discrete values.
Signals can be analog or digital.
Analog signals can have an infinite
number of values in a range; digital
signals can have only a limited
number of values.
Figure Comparison of analog and digital signals
In communication systems, we
commonly use periodic analog signals
and nonperiodic digital signals.
PERIODIC ANALOG SIGNALS
Periodic analog signals can be classified as simple or
composite. A simple periodic analog signal, a sine wave,
cannot be decomposed into simpler signals. A composite
periodic analog signal is composed of multiple sine
waves.
Topics discussed in this section:
Sine Wave
Wavelength
Time and Frequency Domain
Composite Signals
Bandwidth
Figure A sine wave
Figure

Two signals with the same phase and frequency,
but different amplitudes
Frequency and period are the inverse of
each other.
Figure

Two signals with the same amplitude and phase,
but different frequencies
Table

Units of period and frequency
Example
The period of a signal is 100 ms. What is its frequency in
kilohertz?
Solution
First we change 100 ms to seconds, and then we
calculate the frequency from the period (1 Hz = 10−3
kHz).
Frequency is the rate of change with
respect to time.
Change in a short span of time
means high frequency.
Change over a long span of
time means low frequency.
If a signal does not change at all, its
frequency is zero.
If a signal changes instantaneously, its
frequency is infinite.
Phase describes the position of the
waveform relative to time 0.
Figure Three sine waves with the same amplitude and frequency,
but different phases
Example
A sine wave is offset 1/6 cycle with respect to time 0.
What is its phase in degrees and radians?
Solution
We know that 1 complete cycle is 360°. Therefore, 1/6
cycle is
Figure Wavelength and period
Figure The time-domain and frequency-domain plots of a sine wave
A complete sine wave in the time
domain can be represented by one
single spike in the frequency domain.
Time and frequency domains
Time and frequency domains (continued)
Time and frequency domains (continued)
Example
The frequency domain is more compact and
useful when we are dealing with more than one
sine wave. For example, Next Figure shows
three sine waves, each with different amplitude
and frequency. All can be represented by three
spikes in the frequency domain.
Figure The time domain and frequency domain of three sine waves
A single-frequency sine wave is not
useful in communication systems;
we need to send a composite signal, a
signal made of many simple sine waves.
Example Amplitude modulation
Figure AM band allocation
Figure Frequency modulation
Figure FM band allocation
Figure Phase modulation
According to Fourier analysis, any
composite signal is a combination of
simple sine waves with different
frequencies, amplitudes, and phases.
If the composite signal is periodic, the
decomposition gives a series of signals
with discrete frequencies;
if the composite signal is nonperiodic,
the decomposition gives a combination
of sine waves with continuous
frequencies.
Figure A composite periodic signal

Above Figure shows a periodic composite signal with frequency f.
This type of signal is not typical of those found in data
communications. We can consider it to be three alarm systems, each
with a different frequency. The analysis of this signal can give us a
good understanding of how to decompose signals.
Figure Decomposition of a composite periodic signal in the time and
frequency domains
Square wave
Three harmonics
Adding first three harmonics
Frequency spectrum comparison
A digital signal

A digital signal is a composite signal
with an infinite bandwidth.
Figure The time and frequency domains of a nonperiodic signal

Above Figure shows a nonperiodic composite signal. It can be the
signal created by a microphone or a telephone set when a word or two
is pronounced. In this case, the composite signal cannot be periodic,
because that implies that we are repeating the same word or words with
exactly the same tone.
The bandwidth of a composite signal is
the difference between the
highest and the lowest frequencies
contained in that signal.
Figure The bandwidth of periodic and nonperiodic composite signals
Example
If a periodic signal is decomposed into five sine waves
with frequencies of 100, 300, 500, 700, and 900 Hz, what
is its bandwidth? Draw the spectrum, assuming all
components have a maximum amplitude of 10 V.
Solution
Let fh be the highest frequency, fl the lowest frequency,
and B the bandwidth. Then

The spectrum has only five spikes, at 100, 300, 500, 700,
and 900 Hz (see next Figure ).
Figure

The bandwidth for Example
Example
A periodic signal has a bandwidth of 20 Hz. The highest
frequency is 60 Hz. What is the lowest frequency? Draw
the spectrum if the signal contains all frequencies of the
same amplitude.
Solution
Let fh be the highest frequency, fl the lowest frequency,
and B the bandwidth. Then

The spectrum contains all integer frequencies. We show
this by a series of spikes (see next Figure ).
Figure The bandwidth for Example
Example
A nonperiodic composite signal has a bandwidth of 200
kHz, with a middle frequency of 140 kHz and peak
amplitude of 20 V. The two extreme frequencies have an
amplitude of 0. Draw the frequency domain of the
signal.
Solution
The lowest frequency must be at 40 kHz and the highest
at 240 kHz. Next Figure shows the frequency domain
and the bandwidth.
Figure The bandwidth for Example
Example
An example of a nonperiodic composite signal is the
signal propagated by an AM radio station. Each AM
radio station is assigned a 10-kHz bandwidth. The total
bandwidth dedicated to AM radio ranges from 530 to
1700 kHz.
Example
Another example of a nonperiodic composite signal is
the signal propagated by an FM radio station. Each FM
radio station is assigned a 200-kHz bandwidth. The total
bandwidth dedicated to FM radio ranges from 88 to 108
MHz.
Analog and Digital Communication Systems

There are many kinds of information sources, which can be
categorized into two distinct message categories, analog and digital.
an analog communication system should deliver this waveform with
a specified degree of fidelity.
a digital communication system should deliver data with a specified
degree of accuracy in a specified amount of time.
Comparisons of Digital and Analog Communication
Systems
Digital Communication System
Analog Communication System
Advantage :
Disadvantages :
• inexpensive digital circuits
• expensive analog components : L&C
• privacy preserved (data encryption)
• no privacy
• can merge different data (voice, video and
data) and transmit over a common digital
• can not merge data from diff. sources
transmission system
• no error correction capability
• error correction by coding
Disadvantages :
• larger bandwidth
• synchronization problem is relatively
difficult

Advantages :
• smaller bandwidth
• synchronization problem is relatively
easier
Brief Chronology of Communication Systems

•
•
•
•
•
•
•
•
•
•

1844 Telegraph:
1876 Telephony:
1904 Radio:
1923-1938
Television:
1936 Armstrong’s case of FM radio
1938-1945
World War II Radar and microwave systems
1948-1950
Information Theory and coding. C. E. Shannon
1962 Satellite communications begins with Telstar I.
1962-1966
High Speed digital communication
1972 Motorola develops cellular telephone.

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Communication systems

  • 2. Modulation, coding, compression and encryption techniques 1 Analogue modulation: time domain (waveforms), frequency domain (spectra), amplitude modulation (am), frequency modulation (fm), phase modulation (pm) 2 Digital modulation: waveforms and spectra, Frequency Shift Keying (FSK), Binary Phase Shift Keying (BPSK) [including Gaussian Minimum Shift Keying (GMSK)], Quadrature Phase Shift Keying (QPSK) [including π/4QPSK] 3 Error coding: General principles of block, convolutional, parity, interleaving 4 Compression: Regular Pulse Excitation – Linear Predictive Coding – Long Term Prediction (RPE-LPC-LTP)
  • 3. Overview Communication is the transfer of information from one place to another. This should be done - as efficiently as possible - with as much fidelity/reliability as possible - as securely as possible Communication System: Components/subsystems act together to accomplish information transfer/exchange.
  • 4. Elements of a Communication System Input message Output message Input Transducer Output Transducer Transmitter Channel Receiver
  • 5. Input Transducer: The message produced by a source must be converted by a transducer to a form suitable for the particular type of communication system. Example: In electrical communications, speech waves are converted by a microphone to voltage variation. Transmitter: The transmitter processes the input signal to produce a signal suits to the characteristics of the transmission channel. Signal processing for transmission almost always involves modulation and may also include coding. In addition to modulation, other functions performed by the transmitter are amplification, filtering and coupling the modulated signal to the channel.
  • 6. Channel: The channel can have different forms: The atmosphere (or free space), coaxial cable, fiber optic, waveguide, etc. The signal undergoes some amount of degradation from noise, interference and distortion Receiver: The receiver’s function is to extract the desired signal from the received signal at the channel output and to convert it to a form suitable for the output transducer. Other functions performed by the receiver: amplification (the received signal may be extremely weak), demodulation and filtering. Output Transducer: Converts the electric signal at its input into the form desired by the system user. Example: Loudspeaker, personal computer (PC), tape recorders.
  • 7. To be transmitted, Information (Data) must be transformed to electromagnetic signals.
  • 12. Wave length 1 cm Frequency Designations Transmission Media Propagation Modes Extra High Frequency (EHF) Satellite, Microwave relay, Earth-satellite radar. Wave guide 10 cm Super High Frequency (SHF) 1m Ultra High Frequency (UHF) 10m Very High Frequency (VHF) 100m High Frequency (HF) 1 km Medium High Frequency (MF) 10 km Low Frequency (LF) 100km Very Low Frequency (VLF) Representative Applications Sky wave radio 100 GHz 10 GHz Line-of-sight radio Coaxial Cable Frequency Wireless comm. service, 1 GHz Cellular, pagers, UHF TV Mobile, Aeronautical, VHF TV and FM, mobile radio 100 MHz Amateur radio, Civil Defense 10 MHz Ground wave radio Wire pairs AM broadcasting 1 MHz Aeronautical, Submarine cable, 100 kHz Navigation, Transoceanic radio 10 kHz
  • 13. 1.6 Radio Wave Propagation Modes 1 Ground Wave Propagation Follows contour of the earth Can Propagate considerable distances Frequencies up to 2 MHz Example : AM radio
  • 14. 2 Sky Wave Propagation Signal reflected from ionized layer of atmosphere. Signal can travel a number of hops, back and forth Examples SW radio 3 Line-of-Sight Propagation Transmitting and receiving antennas must be within line of sight example Satellite communication Ground communication
  • 15. ANALOG AND DIGITAL Data (Information) can be analog or digital. The term analog data refers to information that is continuous; digital data refers to information that has discrete states. Analog data take on continuous values. Digital data take on discrete values. Topics discussed in this section: Analog and Digital Data Analog and Digital Signals Periodic and Nonperiodic Signals
  • 16. Data can be analog or digital. Analog data are continuous and take continuous values. Digital data have discrete states and take discrete values.
  • 17. Signals can be analog or digital. Analog signals can have an infinite number of values in a range; digital signals can have only a limited number of values.
  • 18. Figure Comparison of analog and digital signals
  • 19. In communication systems, we commonly use periodic analog signals and nonperiodic digital signals.
  • 20. PERIODIC ANALOG SIGNALS Periodic analog signals can be classified as simple or composite. A simple periodic analog signal, a sine wave, cannot be decomposed into simpler signals. A composite periodic analog signal is composed of multiple sine waves. Topics discussed in this section: Sine Wave Wavelength Time and Frequency Domain Composite Signals Bandwidth
  • 22. Figure Two signals with the same phase and frequency, but different amplitudes
  • 23. Frequency and period are the inverse of each other.
  • 24. Figure Two signals with the same amplitude and phase, but different frequencies
  • 25. Table Units of period and frequency
  • 26. Example The period of a signal is 100 ms. What is its frequency in kilohertz? Solution First we change 100 ms to seconds, and then we calculate the frequency from the period (1 Hz = 10−3 kHz).
  • 27. Frequency is the rate of change with respect to time. Change in a short span of time means high frequency. Change over a long span of time means low frequency.
  • 28. If a signal does not change at all, its frequency is zero. If a signal changes instantaneously, its frequency is infinite.
  • 29. Phase describes the position of the waveform relative to time 0.
  • 30. Figure Three sine waves with the same amplitude and frequency, but different phases
  • 31. Example A sine wave is offset 1/6 cycle with respect to time 0. What is its phase in degrees and radians? Solution We know that 1 complete cycle is 360°. Therefore, 1/6 cycle is
  • 33. Figure The time-domain and frequency-domain plots of a sine wave
  • 34. A complete sine wave in the time domain can be represented by one single spike in the frequency domain.
  • 36. Time and frequency domains (continued)
  • 37. Time and frequency domains (continued)
  • 38. Example The frequency domain is more compact and useful when we are dealing with more than one sine wave. For example, Next Figure shows three sine waves, each with different amplitude and frequency. All can be represented by three spikes in the frequency domain.
  • 39. Figure The time domain and frequency domain of three sine waves
  • 40. A single-frequency sine wave is not useful in communication systems; we need to send a composite signal, a signal made of many simple sine waves.
  • 42. Figure AM band allocation
  • 44. Figure FM band allocation
  • 46. According to Fourier analysis, any composite signal is a combination of simple sine waves with different frequencies, amplitudes, and phases.
  • 47. If the composite signal is periodic, the decomposition gives a series of signals with discrete frequencies; if the composite signal is nonperiodic, the decomposition gives a combination of sine waves with continuous frequencies.
  • 48. Figure A composite periodic signal Above Figure shows a periodic composite signal with frequency f. This type of signal is not typical of those found in data communications. We can consider it to be three alarm systems, each with a different frequency. The analysis of this signal can give us a good understanding of how to decompose signals.
  • 49. Figure Decomposition of a composite periodic signal in the time and frequency domains
  • 52. Adding first three harmonics
  • 54. A digital signal A digital signal is a composite signal with an infinite bandwidth.
  • 55. Figure The time and frequency domains of a nonperiodic signal Above Figure shows a nonperiodic composite signal. It can be the signal created by a microphone or a telephone set when a word or two is pronounced. In this case, the composite signal cannot be periodic, because that implies that we are repeating the same word or words with exactly the same tone.
  • 56. The bandwidth of a composite signal is the difference between the highest and the lowest frequencies contained in that signal.
  • 57. Figure The bandwidth of periodic and nonperiodic composite signals
  • 58. Example If a periodic signal is decomposed into five sine waves with frequencies of 100, 300, 500, 700, and 900 Hz, what is its bandwidth? Draw the spectrum, assuming all components have a maximum amplitude of 10 V. Solution Let fh be the highest frequency, fl the lowest frequency, and B the bandwidth. Then The spectrum has only five spikes, at 100, 300, 500, 700, and 900 Hz (see next Figure ).
  • 60. Example A periodic signal has a bandwidth of 20 Hz. The highest frequency is 60 Hz. What is the lowest frequency? Draw the spectrum if the signal contains all frequencies of the same amplitude. Solution Let fh be the highest frequency, fl the lowest frequency, and B the bandwidth. Then The spectrum contains all integer frequencies. We show this by a series of spikes (see next Figure ).
  • 61. Figure The bandwidth for Example
  • 62. Example A nonperiodic composite signal has a bandwidth of 200 kHz, with a middle frequency of 140 kHz and peak amplitude of 20 V. The two extreme frequencies have an amplitude of 0. Draw the frequency domain of the signal. Solution The lowest frequency must be at 40 kHz and the highest at 240 kHz. Next Figure shows the frequency domain and the bandwidth.
  • 63. Figure The bandwidth for Example
  • 64. Example An example of a nonperiodic composite signal is the signal propagated by an AM radio station. Each AM radio station is assigned a 10-kHz bandwidth. The total bandwidth dedicated to AM radio ranges from 530 to 1700 kHz.
  • 65. Example Another example of a nonperiodic composite signal is the signal propagated by an FM radio station. Each FM radio station is assigned a 200-kHz bandwidth. The total bandwidth dedicated to FM radio ranges from 88 to 108 MHz.
  • 66. Analog and Digital Communication Systems There are many kinds of information sources, which can be categorized into two distinct message categories, analog and digital. an analog communication system should deliver this waveform with a specified degree of fidelity. a digital communication system should deliver data with a specified degree of accuracy in a specified amount of time.
  • 67. Comparisons of Digital and Analog Communication Systems Digital Communication System Analog Communication System Advantage : Disadvantages : • inexpensive digital circuits • expensive analog components : L&C • privacy preserved (data encryption) • no privacy • can merge different data (voice, video and data) and transmit over a common digital • can not merge data from diff. sources transmission system • no error correction capability • error correction by coding Disadvantages : • larger bandwidth • synchronization problem is relatively difficult Advantages : • smaller bandwidth • synchronization problem is relatively easier
  • 68. Brief Chronology of Communication Systems • • • • • • • • • • 1844 Telegraph: 1876 Telephony: 1904 Radio: 1923-1938 Television: 1936 Armstrong’s case of FM radio 1938-1945 World War II Radar and microwave systems 1948-1950 Information Theory and coding. C. E. Shannon 1962 Satellite communications begins with Telstar I. 1962-1966 High Speed digital communication 1972 Motorola develops cellular telephone.