LDPC and Polar Codes in 5G Standard

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. 

PREREQUISITES: Probability theory, Digital communications, MATLAB

Week 0  :  (a) Linear block codes: parameters, parity check matrix, generator matrix 
 (b) Hard-decision and soft-decision decoding: BPSK-AWGN model
                 (c) Examples: Repetition code, Hamming code
 (d) MATLAB programs
Week 1  : (a) Low Density Parity Check codes: definition, properties 
                 (b) LDPC codes in 5G: protograph, base matrix, expansion
 (c)  Encoding LDPC codes in 5G
 (d) MATLAB programs 
Week 2 :  (a) [Optional background] SISO decoders for repetition, SPC codes, log-likelihood ratio
                 (b) Decoding LDPC codes: message passing, iterations
 (c) Layered minsum decoder
 (d) MATLAB programs
Week 3  : (a) Polar code: generator matrix, binary tree representation, frozen bits and information bits
 (b) Encoding polar codes
                 (b) Successive cancellation decoder for polar codes
 (c) MATLAB programs
Week 4  :  (a) Successive cancellation list decoding 
 (b) MATLAB programs