Semester Offering: January
 

To provide the students with a comprehensive understanding of error control techniques used in digital communications.

 

Block and Convolutional Codes, Coding for High Spectral Efficiency: Trellis Coded Modulation (TCM), Coding with Diversity, Turbo Codes, Iterative Decoding: MAP Algorithms, ARQ schemes.

 

Consent of the Instructor

 

I Block Codes and Their Implementation
1. Review of Algebra for Coding; Rings: Integer Rings,
2. Polynomials over Rings, Fields: The Structure of Finite Fields, Galois Fields; Construction of GF(qm)
3. Linear Block Codes, Polynomial Description of Cyclic Codes, Quadratic Residue Codes, Golay Code, Hadamard Codes, Reed-Muller Codes
4. Shift-Register Encoders and Decoders of Cyclic Codes
5. Design of BCH Codes Based on Error Correction, Binary and Non-binary BCH Codes
6. Reed-Solomon (RS) Codes, Decoding: Berlekamp-Massey Algorithm

II. Performance of Block Codes
1. Weight Distributions
2. Probabilities of Decoding error and Decoding Failure
3. Bounds on the Minimum Distance
4. Soft Decision Decoding of Block Codes, Trellis Decoding

III. Error Control for Channels with Feedback
1. Pure ARQ Protocols: Error Detection
2. Noisy Feedback Channels
3. Type-I Hybrid - ARQ Protocols
4. Type-II Hybrid - ARQ Protocols

IV. Convolutional Codes
1. Tree Codes and Trellis Codes, State Diagram, Free Distance
2. Polynomial Description of Convolutional Codes
3. Decoding; Maximum-Likelihood Sequence Estimation (MLSE): Viterbi Algorithm, Soft decision decoding, Maximum a posteriori (MAP) decoding - BCJR Algorithm
4. Sequential Decoding Algorithms: Stack Algorithm, Fano Algorithm
5. Punctured Convolutional Codes

V. Coded Modulation Schemes
1. Trellis Coded Modulation (TCM), Ungerboeck Codes
2. Multiple TCM, Lattices and Lattice Cosets, Trellis Codes on Lattice Cosets
3. TCM for Fading Channels; Code design Criteria, Performance Evaluation
4. Block Coded Modulation (BCM), Multilevel Block Coding
5. Coding with Diversity: Space Time Coded Modulation (STCM)
6. Decoding Algorithms and Performance Analysis
7. Equalization and Decoding: Soft Output Algorithms- SOVA, MAP

VI. Concatenated Codes and Iterative Decoding
1. Block Codes, Block and Convolutional Codes
2. Recursive Systematic Convolutional Codes
3. Turbo Codes (Parallel Concatenated Convolutional Codes - PCCC), Serial CCC
4. Iterative Decoding-MAP Algorithms based on BCJR, Turbo Coded Modulation
5. Turbo Equalization
6. Performance Bounds in AWGN and Fading Channels

VII. Advanced Coding Schemes
1. Turbo-TCM
2. Space Time Coding
3. Hybrid Coding Schemes
4. Adaptive Coding
5. Unequal Error Protection

 

Lecture Notes and
S.B. Wicker:
Error Control Systems for Digital Communications and Storage, Prentice Hall, 1995

 

Martin Bossert:
Channel Coding for Telecommunications, John Wiley & Sons Ltd., 1999
Bahram Honary, Garik Markarian:
Trellis Decoding of Block Codes: A Practical Approach, Kluwer Academic Publishers, 1997
R.E. Blahut:
Theory and Practice of Error Control Codes, Addison Wesley, 1984
D. Divsalar, M.K Simon, P. McLane and E. Biglieri:
Trellis Coded Modulation, Macmillan, New York, 1991
Shu Lin & D.J. Costello:
Error Control Coding, Prentice Hall, 1983
J. G. Proakis:
Digital Communications, McGraw - Hill, Third Edition 1995
S. G. Wilson:
Digital Modulation and Coding, Prentice Hall, 1996

 

IEEE Transaction on Communications
IEEE Communications Letters
Proceedings IEEE
IEEE Journal on Selected Areas in Communications
JSAC Wireless Series
IEE Proceedings on Communications
IEE Electronics Letter
IEEE Transactions on Information Theory
IEEE Vehicular Technology

 

N/A

 

The final grade will be computed from the following components: midsem exam (25%), final exam (50%), and assignments and projects (25%). Closed-book examination is normally used in both midsem exam and final exam.