Title :
Polar Codes: Graph Representation and Duality
Abstract :
In this letter, we present an iterative method to obtain the representation of a polar code free of 4-cycles, as well as the properties of the dual of a polar code. Based on these results, iterative decoding of a polar code can be presented in the context of low-density parity check codes.
Keywords :
Bipartite graph; Encoding; Iterative decoding; Maximum likelihood decoding; Systematics; belief propagation; codes on graph; dual code; iterative decoding; polar codes;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2015.2455031
