Semester Offering: August

To lay the theoretical foundation for understanding the behavior of deterministic and random signals in communication systems, and to complement the theory with extensive laboratory work.


Classifications of Signals. Fourier Analysis. Linear Time?Invariant Systems and Filtering. Random Variables, Stochastic Processes, and Noise. Spectral Characteristics of Random Signals. Matched Filters and Detection, Basics in Digital Communication, Introduction to Markov Processes.




1. Signals
2. Systems
3. Model of a Communication System

1. Periodic and Nonperiodic Signals
2. Deterministic and Random Signals
3. Energy Signals and Power Signals
4. Discrete-Time Signals and Continuous-Time Signals
5. Signal Representation

1. Fourier Series and Discrete Spectrum
2. Parseval’s Power Theorem
3. Fourier Transform and Continuous Spectrum
4. Rayleigh’s Energy Theorem
5. Properties of Fourier Transform
6. The Impulse Function
7. Fourier Transform of Periodic Signals
8. Sampling of Continuous-Time Signals
9. Reconstruction of a Bandlimited Signal from Its Samples
10. Spectral Densities
11. Correlation Functions

IV Signal Transmission Through LTI Systems

1. Impulse Response and Frequency Response of LTI Systems
2. Causality and Stability of LTI Systems
3. Relation of Spectral Densities of Input and Output of LTI Systems
4. Systems Analysis
5. Calculation of Transfer Functions
6. Filters in Communication Systems
7. Distortionless Transmission
8. Linear Distortion: Equalizers
9. Nonlinear Distortion

V. Random Variables, Stochastic Processes, and Noise

1. Probability and Random Variables: pdf and cdf, Transformations of Random Variables, Statistical Averages, Real and Complex Random Vectors, Probability Models
2. Random Processes
3. Statistics of Random Processes
4. Stationary and Ergodic Processes
5. Gaussian Processes
6. Spectral Characteristics of Random Signals
7. Random Signals and LTI Systems
8. Estimation of Power Spectrum
9. Noise Processes
10. Noise-Equivalent Bandwidth
11. Baseband Communication Model with Additive Noise: Signal-to-Noise Ratio
12. Noise Figure and Noise Temperature
13. Additive White Gaussian Noise Channel

VI. Digital Communication Basics

1. Matched Filters
2. Signal Characterization
3. Additive White Gaussian Noise Channel
4. Coherent Detection of Binary Signals in AWGN Channel
5. Error Probabilities for Binary Signalling
6. Optimum Digital Receivers

VII. Markov Processes

1. Introduction
2. Chapman-Kolmogorov Equations
3. Classification of States, Limiting Probabilities
4. Discerete time, Discrete State Markov Processes




Lecture Notes, Presentation Slides, and
A.V. Oppenheim, A.S. Willsky and S.H. Nawab:
Signals and Systems, Prentice Hall, 1997, 2nd Edition
A.B. Carlson, P.B. Crilly and J.C. Rutledge:
Communication Systems, An Introduction to Signals and Noise in Electrical Communication, McGraw Hill, 2002, 4th Edition.
Athanasios Papoulis:
Probability, Random Variables, and Stochastic Processes, Mc-Graw Hill, 1991, 3rd Edition


T. Anttalainen:
Introduction to Telecommunications Network Engineering, Artech House, Boston, 1999.
J. Bellamy:
Digital Telephony, John Wiley & Sons, 1991, 580 pp.
T. Saadawi:
Fundamentals of Telecommunication Networks, John Wiley & Sons, Inc., 1994
M.P. Clark:
Networks and Telecommunications, John Wiley & Sons, 1991
R. L. Freeman:
Telecommunication System Engineering, John Wiley & Sons, Second Edition, 1989
Pramode K. Verma:
ISDN Systems: Architecture, Technology and Applications, Prentice Hall, 1990
William Stallings:
Advances in ISDN and Broadband ISDN, IEEE Comp. Soc. Press, 1993
B. G. Lee,
Broadband Telecommunications Technology, Artech House, Boston, 1996
P.-G. Fontolliet,
Telecommunication Systems, Artech House, 1986
R.L. Freeman:
Reference Manual for Telecommunications, John Wiley & Sons, 1985
G. Wates:
Computer Communications Networks, McGraw Hill International Editions, 1992
ITU-T Recommendations given in CCITT Blue Books related to PSTN, ISDN, Data Networks, etc.


IEEE Transactions on Communications
IEEE Communications Magazine
IEE Proceedings- Communications
IEEE Communications Letters
IEEE Transactions on Information Theory
IEE Electronics Letter
IEEE Journal of Selected Areas in Communications




The final grade will be computed from the following components: midsem exam (25%), final exam (50%), and assignments and labs (25%).
Closed-book examination is normally used in both midsem exam and final exam.