Digital Communications

(3-0-0-3)

CMPE Degree: This course is Not Applicable for the CMPE degree.

EE Degree: This course is Not Applicable for the EE degree.

Lab Hours: 0 supervised lab hours and 0 unsupervised lab hours.

Technical Interest Group(s) / Course Type(s): Telecommunications

Course Coordinator:

Prerequisites: ECE 6601

Catalog Description

Basic M-ary digital communications systems, with emphasis on system
design and performance analysis in the presence of additive noise

Textbook(s)

Digital Communications

Course Outcomes

Not Applicable

Strategic Performance Indicators (SPIs)

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