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Probability-Based Ordered-Statistics Decoding for Short Block Codes

Chentao Yue, Mahyar Shirvanimoghaddam, Giyoon Park, Ok-Sun Park, Branka Vucetic, Yonghui Li

2021IEEE Communications Letters50 citationsDOI

Abstract

This letter proposes an efficient probability-based ordered-statistics decoding (PB-OSD) algorithm for short block-length codes. In PB-OSD, we derive two probabilistic measures on the codeword estimates and test error patterns, respectively referred to as the success probability and promising probability. Based on these probabilities, a stopping criterion and a discarding criterion are developed to reduce the number of test error patterns and limit the decoding complexity. To further reduce the complexity, we propose a tree-based search strategy to find the most likely test error patterns in reprocessing stage of the OSD algorithm. Simulation results show that PB-OSD significantly reduces the decoding complexity under the same error performance, compared to the original OSD algorithm.

Topics & Concepts

Decoding methodsCode wordAlgorithmComputer scienceProbabilistic logicStatisticsBlock (permutation group theory)List decodingSequential decodingMathematicsBlock codeConcatenated error correction codeCombinatoricsError Correcting Code TechniquesAlgorithms and Data CompressionAdvanced Wireless Communication Techniques
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