5G通信中Polar码的编译码研究和应用

doi:10.16180/j.cnki.issn1007-7820.2024.01.009

Abstract

Abstract:

In order to optimize the implementation complexity and information transmission speed of the fifth generation communication technology, the Polar code based on channel polarization phenomenon gradually receives great attention and research, and forms many industry standards and research conclusions. In recent years, the development and optimization of Polar code encoding and decoding technology promotes the popularity of the fifth generation communication technology, and the rapid application of the new generation communication technology greatly promotes the further iteration of the underlying encoding and decoding technology. By reviewing the research history of Polar code encoding and decoding technology, the research status and context of Polar code encoding and decoding technology in the fifth generation communication are summarized. On this basis, the problems and requirements of current coding and decoding theory are analyzed and discussed in depth, and the research ideas and trends of the underlying coding and decoding theory in the future communication technology are proposed.

Key words: 5G communication, Polar code, coding theory, decoding algorithm, Shannon limit, computational complexity, source coding, channel coding

CLC Number:

TN911.22

GAO Jie. Research and Application of Polar Code Encoding and Decoding in 5G Communication[J].Electronic Science and Technology, 2024, 37(1): 61-65.

References 43

[1]	Wang S, Schuurmans D, Peng F, et al. A mathematical theory of communication[M]. White Plains: Telephone and Telegraph Corporation, 1948:161-190.
[2]	Hamming R W. Error detecting and error correcting codes[J]. Bell Labs Technical Journal, 1950, 29(2):147-160.
[3]	Macwilliams F J, Sloane N. The theory of error-correcting codes[M]. New York: North Holland Publishing Company, 1977:56-62.
[4]	Arikan E. Channel polarization: Method for constructing capacity-achieving codes for symmetric binary-input memoryless channels[J]. IEEE Transactions on Information Theory, 2009, 55(7):3051-3073. doi: 10.1109/TIT.2009.2021379
[5]	Richardson T J. Efficient encoding of quasi-cyclic low-density parity-check codes[J]. IEEE Transactions on Information Theory, 2006, 47(1):71-81.
[6]	刘帅帅. 5G系统下polar码编译码技术研究[D]. 西安: beoplay体育提现, 2021:25-70.
	Liu Shuaishuai. Research on Polar encoding and deco-ding technology for 5G systems[D]. Xi'an: Xidian University, 2021:25-70.
[7]	高尚蕾, 张治中, 段浴, 等. 5G系统中基于解调参考信号的信道估计方法[J]. 电讯技术, 2021, 61(2):191-196.
	Gao Shanglei, Zhang Zhizhong, Duan Yu, et al. A channel estimation method based on demodulation reference signal in 5G system[J]. Telecommunication Engineering, 2021, 61(2):191-196.
[8]	Korada S B, Sasoglu E. A class of transformations that polarize symmetric binary-input memoryless channels[C]. Seattle: IEEE International Symposium on Information Theory, 2009:932-940.
[9]	Mori R, Tanaka T. Performance and construction of polar codes on symmetric binary-input memoryless channels[C]. Charlotte: IEEE International Symposium on Information Theory, 2009:153-161.
[10]	Tanaka T. Channel polarization and olar codes[J]. IEICE Technical Report Information Theory, 2009, 109(1):23-30.
[11]	Korada S B, Sasoglu E, Urbanke R. Polar :Characterization of xponent,ounds,and onstructions[J]. IEEE Transactions on Information Theory, 2010, 56(12):6253-6264. doi: 10.1109/TIT.2010.2080990
[12]	Abbe E, Telatar E. Polar codes for the m-user MAC[C]. Paso: International Zurich Seminar on Communications, 2010:556-561.
[13]	Iwata K. A construction of approximateolar codes with linear time of codeword length[J]. IEICE Technical Report Information Theory, 2010, 110(3):25-30.
[14]	Presman N, Shapira O, Litsyn S. Binary code kernels from code decompositions[C]. Denver: IEEE International Symposium on Information Theory Proceedings, 2011:79-85.
[15]	Zhao S, Shi P, Wang B. Designs of hattacharyya parameter in the construction of olar codes[C]. Austin: The International Conference on Wireless munications,Networking and Mobile Computing, 2011:261-267.
[16]	Bonik G, Goreinov S, Zamarashkin N. A variant of list plus CRC concatenated polar code[J]. Eprint Arxiv, 2012(1):1-4.
[17]	Cayci S, Arikan O, Arikan E. Polar code construction for non-binary source alphabets[C]. Charlotte: The Signal Processing and Communications Applications Conference, 2012:187-195.
[18]	Niu K, Lin J R, Chen K. Practical olar code construction over parallel channels[J]. IET Communications, 2013, 7(7):620-627. doi: 10.1049/cmu2.v7.7
[19]	Liang Z, Zhang Z, Wang X. Polar code with block-length N=3n[C]. Cleveland: International Conference on Wireless Communications & Signal Processing, 2013:89-96.
[20]	Leroux C, Raymond A J, Sarkis G, et al. A semi-parallelsuccessive-cancellation decoder for Polar codes[J]. IEEE Transactions on Signal Processing, 2013, 61(2):289-299. doi: 10.1109/TSP.2012.2223693
[21]	Serbetci B, Pusane A E. Practical olar code construction using generalised generator matrices[J]. IET Communications, 2014, 8(4):419-426. doi: 10.1049/cmu2.v8.4
[22]	Anderson S E, Matthews G L. Exponents of olar codes using algebraic geometric code kernels[J]. Designs,Codes and Crytography, 2014, 73(2):699-717.
[23]	Schurch C. A partial order for the synthesized channels of a olar code[C]. Omaha: IEEE International Symposium on Information Theory, 2016:77-90.
[24]	Qin M, Guo J, Bhatia A, et al. Polar code constructions based on LLR evolution[J]. IEEE Communications Letters, 2017, 21(6):1221-1224. doi: 10.1109/LCOMM.2017.2656126
[25]	Mondelli M, Hassani S H, Urbanke R L. Construction of Polar codes with sublinear complexity[J]. IEEE Transactions on Information Theory, 2018, 65(5):2782-2791. doi: 10.1109/TIT.18
[26]	Chen P, Bai B, Ren Z, et al. Hash-codes with application to 5G[J]. IEEE Access, 2019, 7(1):12441-12455. doi: 10.1109/Access.6287639
[27]	Jin J, Deng R, Liu T, et al. On error performance and concatenated coding of codes in AWGN channels[J]. IOP Conference Series:Materials Science and Engineering, 2020, 768(7):72-75.
[28]	Li G, Ye M, Hu S. Adjacent-bits-swapped Polar codes:A new code construction to speed up polarization[C]. Wichita: IEEE International Symposium on Information Theory, 2022:530-537.
[29]	Seidl M, Huber J B. Improving successive cancellation decoding of olar codes by usage of inner block codes[C]. Arlington: International Symposium on Turbo Codes & Iterative Information Processing, 2010:881-889.
[30]	Lee M, Li J, Park J Y. Successive cancellation decoding of codes:Channel synthesis and decomposition[J]. Journal of The Institute of Electronics Engineers of Korea Telecommunications, 2011, 48(4):24-36.
[31]	Tal I, Vardy A. List decoding of codes[C]. Cambridge: IEEE International Symposium on Information Theory, 2012:169-177.
[32]	Trifonov P. Efficient design and decoding of olar codes[J]. IEEE Transactions on Communications, 2012, 60(11):3221-3227. doi: 10.1109/TCOMM.2012.081512.110872
[33]	Leroux C, Raymond A J, Sarkis G, et al. Hardware implementation of successive cancellation decoders for Polar codes[J]. Journal of Signal Processing Systems, 2012, 69(3):305-315. doi: 10.1007/s11265-012-0685-3
[34]	Mahdavifar H, El-Khamy M, Lee J, et al. On the construction and decoding of concatenated Polar codes[C]. Portland: IEEE International Symposium on Information Theory, 2013:955-963.
[35]	Onay S. Successive cancellation decoding of polar codes for the two-user binary-input MAC[C]. Dallas: IEEE International Symposium on Information Theory, 2013:879-887.
[36]	Balatsoukas-Stimming A, Raymond A J, Gross W J, et al. Hardware architecture for list successive cancellation decoding of Polar codes[J]. IEEE Transactions on Circuits & Systems II Express Briefs, 2014, 61(8):609-613.
[37]	Fan Y Z, Chen J, Xia C Y, et al. Low-latency list decoding of Polar codes with double thresholding[J]. IEEE International Conference on Acoustics, 2015(3):191-196.
[38]	Zhang Q, Liu A, Zhang Y, et al. Practical design and decoding of parallel concatenated structure for systematic Polar codes[J]. IEEE Transactions on Communications, 2016, 64(2):456-466. doi: 10.1109/TCOMM.2015.2502246
[39]	Ercan F, Condo C, Hashemi S A, et al. Partitioned successive-cancellation flip decoding of Polar codes[C]. Columbus: IEEE International Conference on Acoustics,Speech and Signal Processing, 2016:498-508.
[40]	Doan N, Hashemi S A, Mondelli M, et al. On the decoding of Polar codes on permuted factor graphs[C]. San Jose: IEEE Global Communications Conference, 2018:359-370.
[41]	Zhang X, Liu Y, Chen S. BER evaluation based SCFlip algorithm for Polar codes decoding[J]. IEEE Access, 2019, 8(1):3042-3054. doi: 10.1109/Access.6287639
[42]	Feng B, Liu R, Sun H. Simplified successive-cancellation list decoding of non-binary Polar codes with rate-1 node[C]. Beijing: IEEE Wireless Communications and Networking Conference, 2020:733-749.
[43]	Gao J, Zhang D, Dai J, et al. ResNet-like belief-propagation decoding for Polar codes[J]. IEEE Wireless Communication Letters, 2021, 10(5):934-937. doi: 10.1109/LWC.2021.3050819

Research and Application of Polar Code Encoding and Decoding in 5G Communication

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