Semester Offering: August

To provide the students with a thorough understanding of statistical communication theory.


Classical Detection and Estimation Theory, Representations of Random Processes Detection of SignalsEstimation of Signal Parameters, Linear Estimation, Estimation in Bandlimited Channels, Multiuser Detection.


AT77.02 Signals & Systems.


I  Classical Detection and Estimation Theory

  1. Simple Binary Hypothesis Tests
  2. M Hypothesis
  3. Estimation Theory: Non random and random parameter estimation

II  Representations of Random Processes

  1. Karhunen-Loeve Expansion and Applications
  2. Integral Equations and Eigen Functions
  3. Periodic Processes
  4. Vector random Processes

III  Detection of SignalsEstimation of Signal Parameters

  1. Detection and Estimation in white Gaussian Noise
  2. Detection and Estimation in non white Gaussian Noise
  3. Fading Channels

IV  Linear Estimation

  1. Properties of optimum processors
  2. Realizable linear filters
  3. Kalman Bucy filters

V  Estimation in Bandlimited Channels

  1. Maximum Likelihood Sequence Estimation
  2. Maximum a Posteriori Estimation
  3. Sequential Algorithm
  4. Reduced Complexity Techniques

VI  Multiuser Detection

  1. Elements of multiuser detection
  2. Techniques in CDMA
  3. Space time processing
  4. Turbo multiuser detection


Harry L. Van Trees: Detection, Estimation, and Modulation Theory: Part I, John Wiley, 2001
J.G. Proakis: Digital Communications, McGraw-Hill, 3 rd Edition, 1995
Sergio Verdu : Multiuser Detection, Cambridge University Press, 1998


S.G. Wilson: Digital Modulation and Coding, Prentice-Hall, 1996
S. Haykin: Communication Systems, John Wiley, 1994
Andrew J. Viterbi & Jim K. Omura.: Principles of Digital Communication and Coding, McGraw-Hill, 1979
A. Papoulis: Probability, Random Variables and Stochastic Processes, McGraw-Hill, 1984
Wozencraft and Jacobs : Principles of Communication Engineering, John Wiley & Sons , 1965


IEE Proceedings, Communications
IEE Electronic Letters
IEEE Communications Magazine
IEEE Transactions on Information Theory
IEEE Communication Letters
IEEE Transactions on Communications
IEEE Transactions on Wireless Communications
IEEE Transactions on Vehicular Technology (VT)
Proceedings IEEE


The final grade will be computed from the following components:
mid-semester exam (20%),
final exam (30%), and
assignments (50%).
Open-book examination is used in both m id-semester exam and final exam.