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EEE 633

Coding Theory

Coding theory is about the engineering side of Shannon's promise: how do you actually build encoders and decoders that push a real channel close to its capacity limit, trading algebraic structure and computational effort against bit-error rate. You'll move from the finite-field machinery behind BCH and Reed-Solomon through the trellis-based world of convolutional and Viterbi decoding, and finally into the iterative message-passing regime of turbo, LDPC, and polar codes, with homeworks and projects where you implement these decoders and benchmark them by simulation. It assumes you're comfortable with probability and linear algebra and ideally information theory, and it's the natural companion to a wireless or communications track where these codes show up in every modern standard from LTE to 5G NR.

Credit3ECTS5FacultyFaculty of EngineeringBölümElectrical and Electronics Engineering

Değerlendirme 100% — 4 adım

50%
5%
5%
40%
Midterm:Essay/written Midterm 50%
Project Project 5%
Homework Homework 5%
Final:Essay/written Final 40%

Önerilen kaynaklar 1 kitap

📕
Zorunlu
Channel Codes: Classical and Modern
W. E. Ryan and S. Lin
2009 · Cambridge

Haftalık müfredat 14 hafta

Hafta 1
Introduction to channel coding/modulation, channel capacity
Hafta 2
Fundamentals: groups, rings, vector spaces, GF(2)
Hafta 3
Linear block codes (basics)
Hafta 4
Construction and properties of finite fields
Hafta 5
Cyclic codes, BCH and Reed-Solomon codes
Hafta 6
Cyclic codes, BCH and Reed-Solomon codes
Hafta 7
Low-density parity check codes, sum-product algorithm and its variants
Hafta 8
Low-density parity check codes, sum-product algorithm and its variants
Hafta 9
Convolutional codes, Viterbi Algorithm
Hafta 10
MAP decoding of convolutional codes; performance analysis
Hafta 11
Turbo codes; parallel and serial concatenated convolutional codes
Hafta 12
Iterative decoding
Hafta 13
Polar codes
Hafta 14
Coded modulation; trellis coded modulation

🤖 GenAI politikası

The use of GenAI tools to prepare an assignment is not allowed, as this would hinder the assignment from fulfilling its intended learning objective.

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