Research Article
Generalized Simplified Successive-Cancellation Decoding of Multi-kernel Polar Codes
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@INPROCEEDINGS{10.1007/978-3-030-93398-2_37, author={Yanlong Zhao and Zhilu Wu and Zhendong Yin and Qingzhi Liu}, title={Generalized Simplified Successive-Cancellation Decoding of Multi-kernel Polar Codes}, proceedings={Wireless and Satellite Systems. 12th EAI International Conference, WiSATS 2021, Virtual Event, China, July 31 -- August 2, 2021, Proceedings}, proceedings_a={WISATS}, year={2022}, month={1}, keywords={Polar codes Successive-cancellation List decoding Multi-kernel}, doi={10.1007/978-3-030-93398-2_37} }- Yanlong Zhao
Zhilu Wu
Zhendong Yin
Qingzhi Liu
Year: 2022
Generalized Simplified Successive-Cancellation Decoding of Multi-kernel Polar Codes
WISATS
Springer
DOI: 10.1007/978-3-030-93398-2_37
Abstract
Multi-Kernel (MK) offers more flexibility code length selections for polar codes compared to size-2 kernel proposed by Arikan. In this paper, a generalized Simplified Successive-Cancellation List (SSCL) decoding algorithm is introduced. We first provide sufficient conditions and corresponding proofs to perform SSC and SSCL decoding on MK polar codes. These simplifications are proven valid for MK polar codes whose transform matrix are constructed by kernels who satisfy certain conditions. Time-complexity reduction of introducing generalized simplification decoding is discussed. Numerical results shows that our proposed methods can reduce time-step while preserving the error-correction performance.
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