The two designable components of
any modern communication system are the source coder/decoder and the channel
coder/decoder. From Shannonís theory, optimal design of these two components may be
performed independently. The principles of source coding are covered in
several ECE courses; for example, in Information Theory (ECE751) and Data
Compression (ECE735). The primary focus of ECE 630 is on the principles of
channel coding for digital communication. We shall first develop the optimal
receiver, and study its performance, for communicating a sequence of bits over
an additive white Gaussian noise channel. Then we impose time-bandwidth
constraints and prove the existence of optimal codes for rates smaller than
some critical rates of the channel. Next we study implementable
channel coding schemes in the form of linear codes and Convolutional
codes. Probability theory in the ECE528 level is essential for
understanding the material in this course.
(Chap. 1, week 1)
of topics for this course
of probability theory (Chap. 2-3, week 2)
autocorrelation, power spectral density, bandwidth
of random processes through linear filters
of Optimum Receivers (Chap. 4, weeks 3-6)
maximum a-posteriori decision rule
channels with additive Gaussian white noise
with rectangular decision regions
Biorthogonal and Simplex signals
signaling (Chap. 5 - weeks 8-9)
and block orthogonal signaling
bounds on the probability of error for block codes
rate, time duration, bandwidth, and dimensionality
of optimal codes, critical rates
of Coded Systems (Chap. 6 - week 10-12)
and trellis diagrams
on the probability of error
to turbo codes
channel models (Chap. 7 - week 12-14)
of filtering (non-white noise)
amplitude and phase
M. Wozencraft and I. M. Jacobs, Principles
of Communication Engineering. Waveland Press, 1990.
J. G. Proakis and M. Salehi, Communication Systems
Engineering. Prentice-Hall, 2001.
J. Proakis, Digital
Communications. McGraw-Hill Science/Engineering/Math; 4th edition,
ECE-528 or instructor permission
Course announcements, assignments
and homework solutions will be emailed to you. I will use your email addresses
which are on file at the GMU Registrar. If you wish to have your course
material delivered to another email address, you may include a .forward command
in your GMU directory. It is important that your mail box does not reach its
capacity at any time during the semester.
Homework 15%, Mid-term 40%, final
The two exams are take-home exams.
For these exams you may use the text book, your class notes, and assigned
homework solutions. No other material is allowed.
Solutions to homework problems and
other assignments in this course may be found on the internet or in course
material from previous semesters. Students are not allowed to use these
solutions before they submit their homework/assignments. Using such material
will constitute a violation of the university honor code.