Title
CRC-Aided Belief Propagation List Decoding of Polar Codes
Abstract
Although iterative decoding of polar codes has recently made huge progress based on the idea of permuted factor graphs, it still suffers from a non-negligible performance degradation when compared to state-of-the-art CRC-aided successive cancellation list (CA-SCL) decoding. In this work, we show that iterative decoding of polar codes based on the belief propagation list (BPL) algorithm can approach the error-rate performance of CA-SCL decoding and, thus, can be efficiently used for decoding the standardized 5G polar codes. Rather than only utilizing the cyclic redundancy check (CRC) as a stopping condition (i.e., for error-detection), we also aim to benefit from the error-correction capabilities of the outer CRC code. For this, we develop two distinct soft-decision CRC decoding algorithms: a Bahl-Cocke-Jelinek-Raviv (BCJR)-based approach and a sum product algorithm (SPA)-based approach. Further, an optimized selection of permuted factor graphs is analyzed and shown to reduce the decoding complexity significantly. Finally, we benchmark the proposed CRC-aided belief propagation list (CA-BPL) decoding to state-of-the-art 5G polar codes under CA-SCL decoding and, thereby, showcase an error-rate performance not just close to the CA-SCL but also close to the maximum likelihood (ML) bound as estimated by ordered statistic decoding (OSD).
Year
DOI
Venue
2020
10.1109/ISIT44484.2020.9174249
2020 IEEE International Symposium on Information Theory (ISIT)
Keywords
DocType
ISSN
CRC-aided belief propagation list decoding,polar codes,iterative decoding,permuted factor graphs,nonnegligible performance degradation,state-of-the-art CRC-aided successive cancellation list decoding,belief propagation list algorithm,error-rate performance,CA-SCL decoding,outer CRC code,soft-decision CRC,decoding complexity,ordered statistic decoding
Conference
2157-8095
ISBN
Citations 
PageRank 
978-1-7281-6433-5
0
0.34
References 
Authors
12
5
Name
Order
Citations
PageRank
Geiselhart Marvin100.34
Elkelesh Ahmed200.34
Ebada Moustafa300.34
sebastian cammerer415716.76
Stephan ten Brink52912204.86