Semester Offering: August

To lay the theoretical foundation for understanding the behavior of deterministic and random signals in communication systems. To provide the student with knowledge of both the theory and practical applications of digital and wireless transmission.


Random Variables and Vectors, Stochastic Processes, Spectral Characteristics of Random Signals, Basics in Digital Communication, Analog Signals and Digital Transmission: PDH, SDH, Digital Communication & Coding.


Fourier Series, Fourier Transform, Linear Systems.


A. Review of Random Processes in Communication Systems

I. Random Variables: Discrete and Continuous

  1. Random Variables, Probability Distributions and Probability Densities
  2. Functions of Random Variables
  3. Statistical Averages
  4. Real and Complex Random Vectors, Transformations
  5. Probability Models

II. Stochastic (Random) Processes

  1. Statistics of Random Processes
  2. Stationary and Ergodic Processes, Gaussian Processes, Transformations
  3. Spectral Characteristics of Random Signals
  4. Random Signals and LTI Systems
  5. Noise Processes, White and Colored Noise

B. Digital Transmission Systems

I. Analog Signals and Digital Transmission

  1. Instantaneous (Sample-and-Hold) Sampling and Aperture Distortion
  2. Pleisiochronous Digital Hierarchy (PDH)
  3. Uniform Quantization of Samples and Quantization Noise
  4. Non-Uniform Quantization: the A and m Laws for Logarithmic Quantization
  5. Synchronous Digital Hierarchy (SDH)
  6. SDH Bit Rates and Interfaces
  7. Structure of SDH Frames
  8. Synchronous Multiplexing Process, Rate Adaptation

II Digital Communication and Coding

  1. Matched Filters ,Additive White Gaussian Noise Channel
  2. Modulation and Optimum Digital Receivers
  4. Intersymbol Interference Channels
  5. Coding for error correction: Block and Convolutional codes
  6. Digital Transmission over fading Channels
  7. Diversity schemes: MIMO Systems, Space Time processing


Lecture notes and books A.B. Carlson, P.B. Crilly and J.C. Rutledge: Communication Systems, An Introduction to Signals and Noise in Electrical Communication , McGraw Hill, 2002, 4 th Edition.
Athanasios Papoulis: Probability, Random Variables, and Stochastic Processes , Mc-Graw Hill, 1991, 3rd Edition
J.G. Proakis: Digital Communications , McGraw Hill, 2001, 4th Edition
Leon W. Couch II: Digital and Analog Communication Systems , Macmillan, 1993
Simon Haykin Communication Systems , John Wiley & Sons Inc., 1994
Gordon L. Stuber Mobile Communication , Kluwer Academic, 2001, 2 nd Edition
Sergio Benedetto, and Ezio Biglieri: Principles of Digital Transmission with Wireless Applications , Kluwer Academic 1999
Hamid Jafarkhani: Space-Time Coding: Theory and Practice , Cambridge University Press, 2005
Marvin K. Simon and Mohamed Slim Alouini Digital Communication over Fading Channels , Wiley, 2 nd Edition, 2005.


The final grade will be computed from the following components:
midterm exam. (30%),
final exam. (50%),
assignment (20%).
Closed-book examination is normally used in both mid-sem and final exam.