Hash-Polar Codes With Application to 5G

• Published in: IEEE access Vol. 7; pp. 12441 - 12455
• Main Authors: Chen, Peiyao, Bai, Baoming, Ren, Zhaofeng, Wang, Jiaqing, Sun, Shaohui
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2019; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: 5G channel codes; 5G mobile communication; Broadband; Coders; Codes; Coding; Concatenated polar codes; Decoding; early-termination; Encoding; Error correction; false alarm rate; False alarms; Hash functions; hash-polar codes; Indexes; Mobile computing; Parity check codes; Redundancy; Systematics
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2019.2892969

This paper presents a kind of concatenated polar codes called hash-polar codes with flexible outer code lengths, in which a hash function-based encoder is used as an outer encoder. A partial hash-polar code is also proposed to enhance the error-correcting performance at high signal-to-noise ratios. Since polar codes have been recommended by 3GPP as the channel coding scheme for the 5G enhanced mobile broadband control channel, the design of hash-polar codes for 5G is considered, where both good error-correcting performance and low false alarm rate (FAR) are required. The simulation results show that, under the 5G FAR requirement, the proposed hash-polar codes have similar frame error rate performance to cyclic redundancy check (CRC)-polar codes and perform better than parity check polar codes. In order to support early termination (ET) for 5G coding, we then propose segmented hash-polar codes, which exhibit the advantages of the ET gain compared with both CRC-polar codes and distributed CRC-polar codes.