Statistical Communication Theory

ECE 630

Spring 2017
Dr. B.-Peter Paris
Nguyen Engineering Building Room 3803
Tel.: (703) 993–1559
Time and Place
Thursday 7:20pm — 10:00pm, Innovation Hall, Room 330
Office Hours
Thursday 5:30pm — 6:30pm and Tuesday 3:00 — 4:00pm.
Required Textbook
Upamanyu Madhow, Fundamentals of Digital Communication, Cambridge University Press, 2012.
Recommended Further Reading
  1. J.M. Wozencraft and I.M. Jacobs, Principles of Communication Engineering, New York: Wiley & Sons, 1965. (reissued by Waveland Press, Prospect Heights, IL, 1990.)
  2. H.L. van Trees, Detection, Estimation, and Modulation Theory, vol. I, New York: Wiley & Sons, 1968.
  3. J.G. Proakis, Digital Communications, 5th ed., New York: McGraw-Hill, 2007.
will be assigned every week except when an exam is scheduled the following week. A set of solutions will be made available. You are encouraged to work on the assignments in small groups.
Two Exams
will be given: one midterm exam and a comprehensive final exam. All exams are conducted under the rules and regulations of the Honor Code (see University Catalog).
On-line Class Material
Class material will be distributed electronically via the World-Wide Web. Use a browser to find the ECE 630 homepage at URL

I will also correspond with you through your Mason e-mail account — check your e-mail regularly. The BlackBoard page for this course will contain homework assignments, syllabus, and your grades.

Final Grades
are determined as a weighted average of homeworks and exams in the following way:
Homework 30%

Midterm 35%

Final 35%

Tentative Course Schedule

Background Material
Week 1:
Random variables with emphasis on the Gaussian distribution
Week 2:
Random processes.
Week 3:
Signal space concepts.
Optimal Receiver in White Gaussian Noise
Week 4:
Binary hypothesis testing
Week 5:
The matched filter.
Week 6:
M-ary signal sets and the union bound.
Week 7:
Midterm Exam.
Week 8:
Message sequences.
Digital Modulation
Week 9:
Complex baseband representation of signals and random processes.
Week 10:
Linear, digital modulation methods and their bandwidth.
Week 11:
Orthogonal, bi-orthogonal, and differential modulation.
Advanced Topics:
The final third of the class will consider advanced topics, options include:
Final Exam:
May 11, 7:30–10:15pm