Segmented CRC-Aided Order Statistical Decoding with Multiple Biases for Short Polar Codes

With the advent of 5th generation (5G) mobile communication era, higher requirements are put forward for ultra-reliable and low-latency transmission compared with 4G, especially in the field of short packet communication. In this paper, we propose a segmented cyclic redundancy check aided order statistical decoding algorithm with multiple biases (BIAS- SCRC-OSD) for short polar codes. This algorithm constructs multiple information sets by repeatedly adding bias value, and selects more effective information sets to improve the decoding performance. For further improving the decoding performance, we change the original cyclic redundancy check (CRC) into segment check. The simulation results show that a suitable bias value can significantly improve the decoding performance with a small increase in computational complexity. Compared with the original CRC-aided order statistical decoding (OSD) algorithm, the proposed algorithm has a gain of about 0.8 dB at target bit error rate (BER) 10–4 with code rate R = 0.5 and code length N = 64.