Concatenation of SISO log maximum a posteriori - polar codes at the receiver

Document Type : Original Article

Authors

Communication Department, Military Technical College (MTC), Cairo, Egypt.

10.1088/asat.2023.344351

Abstract

Potential error-correction capabilities of polar codes rendered itself the ideal choice for 5G New Radio’s (NR) control channels. Furthermore, the use of the CRC-Aided successive cancellation list (CA-SCL) algorithm of polar codes not only outperforms successive cancellation (SC) polar decoding algorithm but also has better error performance than Low-Density Parity Check (LDPC) and turbo codes for short block lengths. Even though its superior decoding error performance, CA-SCL offers a substantially higher complexity than the SC algorithm. This paper adopts a concatenated decoding approach to boost the SC algorithm’s performance while keeping the computation complexity within a tolerable range. The received signal is oversampled at the receiver’s front end with the oversampling ratio (OSR) faster than the Nyquist criterion to produce a repeated version of the transmitted symbols. Then, the oversampled soft data
are processed by the concatenated decoding stage that encompasses the soft input soft output (SISO) Log-MAP decoding algorithm and conventional SC algorithm representing inner and outer decoders. Furthermore, this approach can potentially handle the issue of the sampling clock jitter. Finally, as per the simulation results, the proposed scheme’s decoding performance using the SC algorithm outperforms that of previous polar Successive Cancellation List schemes
(SCL), CA-SCL, and accomplishes coding gain up to 2.4 dB with OSR = 2.

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