Hybrid CRC And Parity-Check-Concatenated Polar Codes With Shared Outer Encoder

Polar codes are the first class of error correction codes which have been shown to be a family of capacity-achieving codes under binary-input memoryless symmetric channels(B-DMC),and received extensive attention from scholars and engineers since its inception.Various and advanced construction algorithms,decoding algorithms with concatenated shames have been proposed which make polar codes have excellent error correction performance and low coding and decoding complexity.Among them,hybrid cyclic redundancy check(CRC)and parity-check-concatenated(PCC)polar codes which have the most excellent error correction performance,have become one of the standard implementation of 5G polar codes.However,two outer encoders are required to encode separately,which resulting in a higher complexity of encoding.Based on the former,this paper proposes hybrid CRC-PCC polar codes with shared outer encoder in order to improve the error correction performance while taking the balance the complexity of encoding and decoding for polar codes.And the main work can be summarized as follow dissertations:1)A modified CRC encoder is designed as a hybrid outer encoder for polar codes to generate CRC bits required for CRC check and parity check bits required for parity check,which reduce the use of encoder to reduce the coding complexity and easier engineering.2)Combining the original successive cancellation list(SCL)algorithm,a new shared encoder aided modified SCL algorithm is designed in this paper,which uses designed modified CRC encoder aided decoding to improve the error correction performance.3)CRC-aided polar codes and original hybrid CRC-PCC polar codes with separately outer encoder were compared with the scheme proposed in this paper.Simulation results show that the hybrid CRC-PCC polar codes with shared outer encoder have better frame error rate performance than CRC-aided polar codes.At the same time,compared with hybrid CRC-PCC polar codes with separately outer encoder,there is no significant difference in frame error rate performance After that,the simulation of the undetected error probability(UER)was carried out for the two types of hybrid CRC-PCC polar code schemes,whose results show that the construction of check bits don't affect the frame check capability of the CRC bits.