Digital Communications


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

Corequisites: None.

Catalog Description

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

Course Outcomes

Not Applicable

Student Outcomes

In the parentheses for each Student Outcome:
"P" for primary indicates the outcome is a major focus of the entire course.
“M” for moderate indicates the outcome is the focus of at least one component of the course, but not majority of course material.
“LN” for “little to none” indicates that the course does not contribute significantly to this outcome.

1. ( Not Applicable ) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics

2. ( Not Applicable ) An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors

3. ( Not Applicable ) An ability to communicate effectively with a range of audiences

4. ( Not Applicable ) An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts

5. ( Not Applicable ) An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives

6. ( Not Applicable ) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions

7. ( Not Applicable ) An ability to acquire and apply new knowledge as needed, using appropriate learning strategies.

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.

Course Objectives

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