ECE Course Outline


Digital Communications (3-0-3)

ECE 6601
Catalog Description
Basic M-ary digital communications systems, with emphasis on system design and performance analysis in the presence of additive noise
Proakis, Digital Communications (5th edition), McGraw Hill, 2005. ISBN 9780072957167 (required)

Topical Outline
Communications Signals and Systems
-Introduction to Digital Communications
-Representations of Bandpass Signals and Systems
-Inner Product Spaces and Subspaces
-Orthonormal Bases, Gram-Schmidt Procedure
-Signal Space Representation of M-ary Signal Sets

Deterministic Receiver Design
-Minimum Distance Receiver Design
-Matched Filters and Correlation
-The Correlation Receiver
-The Sufficiency of Signal Space Projection
-The Projection Receiver

Probability and Random Processes
-Some Useful Probability Distributions
-Upper Bounds on the Tail Probability
-Random Sequences and Random Processes
-Power Spectral Density
-Random Processes Through Linear Systems

Probabilistic Receiver Design
-Maximum A Posteriori Detection
-Maximum Likelihood Detection
-The Equivalence of MAP and Minimum Probability of Error

Performance Analysis in White Gaussian Noise
-The Sufficiency of Signal Space Projection
-Equivalence of Maximum Likelihood and Minimum Distance in AWGN
-Error Probability Bounds for Basic M-ary Modulation Schemes
-Power versus Bandwidth Tradeoffs
-Detection of Signals with Random Phase

Shannon Capacity and Channel Codes
-Heuristic Sphere-Packing Proof of Channel Coding Theorem
-Multidimensional Constellations
-Convolutional Codes
-The Viterbi Algorithm
-Trellis-Coded Modulation

Advanced Communication Techniques
-Multichannel Digital Communication in AWGN Channels
-Multicarrier Communications
-Direct-Sequence Spread Spectrum
-Frequency-Hopped Spread Spectrum