ECE Course Syllabus
ECE6602 Course Syllabus
Digital Communications (3-0-3)
- Technical Interest
- 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)
SPIs are a subset of the abilities a student will be able to demonstrate upon successfully completing the course.
Outcome 1 (Students will demonstrate expertise in a subfield of study chosen from the fields of electrical engineering or computer engineering): 1. Explain the relative merits of various modulation schemes, especially in terms of their power efficiency and bandwidth efficiency. Outcome 2 (Students will demonstrate the ability to identify and formulate advanced problems and apply knowledge of mathematics and science to solve those problems): 1. Demonstrate how to formulate detection strategies that optimally account for the statistics of the noise. Outcome 3 (Students will demonstrate the ability to utilize current knowledge, technology, or techniques within their chosen subfield): 1. Predict the performance (primarily in terms of power efficiency and bandwidth efficiency) of a newly encountered modulation scheme.
- 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
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