Polar codes: Encoding/decoding and rate-compatible jointly design for HARQ system

Polar coding are the first class of provable capacity-achieving coding techniques for a wide range of channels. With an ideal recursive structure and many elegant mathematical properties, polar codes are inherently implemented with low complexity encoding and decoding algorithms. Since the block len...

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Main Authors: Qiaoli Zeng, Quan Zhou, Xiangkun He, Youming Sun, Xiangcheng Li, Haiqiang Chen
Format: Article
Language:English
Published: Tsinghua University Press 2021-12-01
Series:Intelligent and Converged Networks
Subjects:
Online Access:https://www.sciopen.com/article/10.23919/ICN.2021.0024
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author Qiaoli Zeng
Quan Zhou
Xiangkun He
Youming Sun
Xiangcheng Li
Haiqiang Chen
author_facet Qiaoli Zeng
Quan Zhou
Xiangkun He
Youming Sun
Xiangcheng Li
Haiqiang Chen
author_sort Qiaoli Zeng
collection DOAJ
description Polar coding are the first class of provable capacity-achieving coding techniques for a wide range of channels. With an ideal recursive structure and many elegant mathematical properties, polar codes are inherently implemented with low complexity encoding and decoding algorithms. Since the block length of the original polar construction is limited to powers of two, rate-compatible polar codes (RCPC) are presented to meet the flexible length/rate transmission requirements in practice. The RCPC codes are well-conditioned to combine with the hybrid automatic repeat request (HARQ) system, providing high throughput efficiency and such RCPC-HAPQ scheme is commonly used in delay-insensitive communication system. This paper first gives a survey of both the classical and state-of-the-art encoding/decoding algorithms for polar codes. Then the RCPC construction methods are discussed, including the puncturing, shortening, multi-kernel construction, etc. Finally, we investigate several RCPC-HARQ jointly design systems and discuss their encoding gain and re-transmission diversity gain.
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spelling doaj.art-1e5fe4812e314bb793aa2c0152d06aae2022-12-22T03:25:52ZengTsinghua University PressIntelligent and Converged Networks2708-62402021-12-012433434610.23919/ICN.2021.0024Polar codes: Encoding/decoding and rate-compatible jointly design for HARQ systemQiaoli Zeng0Quan Zhou1Xiangkun He2Youming Sun3Xiangcheng Li4Haiqiang Chen5School of Computer, Electronics and Information and Guangxi Colleges and Universities Key Laboratory of Multimedia Communications and Information Processing, Guangxi University, Nanning 530004, ChinaSchool of Computer, Electronics and Information and Guangxi Colleges and Universities Key Laboratory of Multimedia Communications and Information Processing, Guangxi University, Nanning 530004, ChinaDepartment of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 999002, SingaporeSchool of Computer, Electronics and Information and Guangxi Colleges and Universities Key Laboratory of Multimedia Communications and Information Processing, Guangxi University, Nanning 530004, ChinaSchool of Computer, Electronics and Information and Guangxi Colleges and Universities Key Laboratory of Multimedia Communications and Information Processing, Guangxi University, Nanning 530004, ChinaSchool of Computer, Electronics and Information and Guangxi Colleges and Universities Key Laboratory of Multimedia Communications and Information Processing, Guangxi University, Nanning 530004, ChinaPolar coding are the first class of provable capacity-achieving coding techniques for a wide range of channels. With an ideal recursive structure and many elegant mathematical properties, polar codes are inherently implemented with low complexity encoding and decoding algorithms. Since the block length of the original polar construction is limited to powers of two, rate-compatible polar codes (RCPC) are presented to meet the flexible length/rate transmission requirements in practice. The RCPC codes are well-conditioned to combine with the hybrid automatic repeat request (HARQ) system, providing high throughput efficiency and such RCPC-HAPQ scheme is commonly used in delay-insensitive communication system. This paper first gives a survey of both the classical and state-of-the-art encoding/decoding algorithms for polar codes. Then the RCPC construction methods are discussed, including the puncturing, shortening, multi-kernel construction, etc. Finally, we investigate several RCPC-HARQ jointly design systems and discuss their encoding gain and re-transmission diversity gain.https://www.sciopen.com/article/10.23919/ICN.2021.0024polar coderate compatiblehybrid automatic re-transmission requestpolar coding/decoding
spellingShingle Qiaoli Zeng
Quan Zhou
Xiangkun He
Youming Sun
Xiangcheng Li
Haiqiang Chen
Polar codes: Encoding/decoding and rate-compatible jointly design for HARQ system
Intelligent and Converged Networks
polar code
rate compatible
hybrid automatic re-transmission request
polar coding/decoding
title Polar codes: Encoding/decoding and rate-compatible jointly design for HARQ system
title_full Polar codes: Encoding/decoding and rate-compatible jointly design for HARQ system
title_fullStr Polar codes: Encoding/decoding and rate-compatible jointly design for HARQ system
title_full_unstemmed Polar codes: Encoding/decoding and rate-compatible jointly design for HARQ system
title_short Polar codes: Encoding/decoding and rate-compatible jointly design for HARQ system
title_sort polar codes encoding decoding and rate compatible jointly design for harq system
topic polar code
rate compatible
hybrid automatic re-transmission request
polar coding/decoding
url https://www.sciopen.com/article/10.23919/ICN.2021.0024
work_keys_str_mv AT qiaolizeng polarcodesencodingdecodingandratecompatiblejointlydesignforharqsystem
AT quanzhou polarcodesencodingdecodingandratecompatiblejointlydesignforharqsystem
AT xiangkunhe polarcodesencodingdecodingandratecompatiblejointlydesignforharqsystem
AT youmingsun polarcodesencodingdecodingandratecompatiblejointlydesignforharqsystem
AT xiangchengli polarcodesencodingdecodingandratecompatiblejointlydesignforharqsystem
AT haiqiangchen polarcodesencodingdecodingandratecompatiblejointlydesignforharqsystem