About This Course

This course will introduce the error control codes – Low-Density Parity-Check codes and Polar codes - that have been proposed for 5G cellular communication systems. The emphasis will be on implementing decoders for these codes....

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Course Curriculum

5 Sections | 37 Lecture | 15h 11min total length

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week 0

| 03h 17min total length

Additive White Gaussian Noise(AWGN) Channel and BPSK
18m
Bit Error Rate (BER) and Signal to Noise Ratio (SNR)
16m
Error Correction Coding in a Digital Communication System
13m
Complementary Error Function
8m
Simulation of Uncoded BPSK and BER v/s Eb/N0 plot Generation in MATLAB/Octave
29m
n = 3 Repetition Code
21m
Implementation of n = 3 Repetition Code in MATLAB
14m
(7,4) Hamming Code
17m
A Brief Introduction to Linear Block Codes
31m
Simulation of (7,4) Hamming Code in MATLAB
27m

Week 1

| 01h 40min total length

Low Density Parity Check Codes: definition, properties and introduction to protograph?
25m
LDPC Codes in 5G: protograph, base matrix, expansion
15m
Encoding LDPC codes in 5G
20m
MATLAB programs for encoding LDPC codes
39m

Week 2

| 04h 54min total length

Log-Likelihood Ratio and Soft Input and Soft Output (SISO) Decoder for the Repetition Code??
39m
Soft Input and Soft Output (SISO) Decoder for the Single Parity Check(SPC) Code
29m
Illustration of SISO decoder for (3,2) SPC code and min-sum approximation
22m
SISO decoder for a general (n,n-1) SPC code
18m
Soft-Input Soft-Output Iterative Message Passing Decoder for LDPC Codes?
25m
A Toy Example Illustration of the SISO MInsum Iterative Message Passing Decoder
18m
Modifications to the Decoder: Layered Decoding and Offset
28m
Implementation of SISO Layered Minsum Iterative Message Passing Decoder in MATLAB
53m
Debugging and Improvements to the MATLAB Implementation
21m
Rate Matching in LDPC Codes using Puncturing and Shortening
18m
Implementation of Fixed Point Quantization and Offset Minsum in the Decoder
20m

Week 3

| 03h 35min total length

Introduction to Polar Codes: Polar Transform
23m
Channel Polarization, Definition of (N,K) Polar Code and Encoding
25m
MATLAB Implementation for Encoding Polar Codes
24m
Successive Cancellation(SC) Decoder for Polar Codes: Illustration of its Building Blocks with N=2,4
32m
Successive Cancellation(SC) Decoder for a General (N,K) Polar Code
32m
MATLAB Implementation of Successive Cancellation Decoder: Part 1
37m
MATLAB Implementation of Successive Cancellation Decoder: Part 2
38m

Week 4

| 01h 43min total length

Successive Cancellation List Decoding
30m
Fixed Point Quantization for SC Decoder and LDPC Decoder
19m
MATLAB Implementation of Successive Cancellation List Decoding
19m
Rate Matching for LDPC codes
12m
Performance Comparison of LDPC codes and Polar Codes in 5G
21m

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