CONCORDIA UNIVERSITY

CONCORDIA UNIVERSITY
Department of Electrical and Computer Engineering
ELEC 6131 – Error Detecting and Correcting Codes

Winter 2021

· Final 2021

Instructor:

Dr. M. R. Soleymani, Office: EV-5.125, Telephone: 848-2424 ext: 4103.

Time and Place: Tuesday, 17:45 – 20:15, Remote.

Office Hours: Tuesday, 15:00 – 17:00

Areas to be Covered:

Introduction to coding
An introduction to abstract algebra
Linear block codes
Cyclic codes
BCH and Reed Solomon codes
Convolutional codes
Overview of Turbo codes, LDPC codes and Raptor Codes.
Space-time codes (if time permits)

Textbook:

S. Lin and D. J. Costello, Error Control Coding: Fundamentals and Applications, 2nd Edition, Prentice-Hall, 2005.

Chapters 2, 3, 4, 5, 6, 7, 11, 12 will be covered in detail.

References:

S. B. Wicker, Error Control Systems for Digital Communication and Storage, Prentice-Hall, 1995.
Richard E. Blahut, Algebraic Codes for Data Transmission, Cambridge University Press, 2003.
E. R. Berlecamp, Algebraic Coding Theory, Aegean Park Press, 1984.
G. Ungerboeck, “Channel coding with multilevel/phase signals,” IEEE Transactions on Information Theory, vol. 28, no. 1, pp. 55-67, January 1982.
S. M. Alamouti, “A simple transmitter diversity scheme for wireless communications,” IEEE J. Select. Areas in Communications, vol. 16, pp. 1451–1458, Oct. 1998.
V. Tarokh, N. Seshadri, and A. R. Calderbank, “Space–time codes for high data rate wireless communication: Performance analysis and code construction,”

IEEE Trans. Inform. Theory, vol. 44, pp. 744–765, March 1998.

A. Shokrollahi, “Raptor codes,” IEEE Transactions on Information Theory, vol. 52, no. 6, pp. 2551 –2567, June 2006.
M. R. Soleymani, et al., Turbo Coding for Satellite and Wireless Communications, Kluwer Academic Publishers, 2002.

Grading Scheme:

Assignment: 15%

Project: 15% (7% literature review, 5% simulation, 3% presentation).

Midterm : 30% (March 7, 2021)

Final Examination: 40% (25% written 15% oral).

· Final 2015

· Final 2015 Solution

· Final 2016

· Final 2016 Solution

· Midterm 2016

· Midterm 2019

IMPORTANT NOTICE:

Exams will be closed book, only crib-sheet will be allowed.
In order to pass the course, you should get at least 60% in the final.
Failing to write a Midterm results in losing the 30% assigned to the test.

LECTURE SLIDES:

Lecture Slide 1

Lecture Slide 2

Lecture Slide 3

Lecture Slide 4

Lecture Slide 5

Lecture Slide 6

Lecture Slide 7 Lecture Slide 8

Lecture Slide 9 Lecture Slide 10

Lecture Slide 11

COURSE NOTES:

· RS Decoding (copied from Error correction coding: mathematical methods and algorithms By Todd K. Moon).

· Group Theory and Rubik’s Cubes.

Homework:

Several homework assignments will be assigned during the semester.
You will be given the solutions to these assignments also tutorials may be scheduled to discuss the problems.

LIST OF ASSIGNMENTS:

Assignment 1.

· Solution to Assignment 1:

Assignment 2.

· Solution to Assignment 2:

Assignment 3.

· Solution to Assignment 3:

Assignment 4.

· Solution to Assignment 4:

Assignment 5.

· Solution to Assignment 5:

Assignment 6.