SCLF Decoding Algorithm of Polar Codes Based on the Improved First Critical Set
In order to enhance the error performance of the successive cancellation list bit-flip ( SCLF) decoding algorithm for polar codes, a method has been proposed to optimize the SCLF decoding algorithm by refining the accuracy of the critical sets.This approach involves analyzing the impact of decoded bits on undecoded bits, namely, devising strategies to improve the precision of the critical set.It takes the first critical set ( FCS ) as the initial critical set, selects the error bits containing the successive cancellation state path in the FCS by calculating the theoretical value and the actual value of the bit unreliability, and arranges them in the ascending order of the channel reliability to construct the improved first critical set ( IFCS) .The IFCS can effectively improve the flipping accuracy and reduce the number of redecoding.Simulation results show that the proposed algorithm has better bit error performance and lower complexity than the SCLF based on the revised critical set and the SCLF based on the decision post-processing decoding algorithms, and it can be combined with cyclic redundancy check aided successive cancellation list algorithm of small list size to achieve the similar decoding performance of large list size.
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