Quantized Decoders that Maximize Mutual Information for Polar Codes

被引:0
作者
Zhu, Hongfei [1 ]
Cao, Zhiwei [1 ]
Zhao, Yuping [1 ]
Li, Dou [1 ]
机构
[1] Peking Univ, Sch Elect Engn & Comp Sci, Beijing 100871, Peoples R China
基金
国家重点研发计划;
关键词
maximize mutual information; polar codes; quantization; successive cancellation decoding;
D O I
10.23919/JCC.ea.2021-0794.202401
中图分类号
TN [电子技术、通信技术];
学科分类号
0809 ;
摘要
In this paper, we innovatively associate the mutual information with the frame error rate (FER) performance and propose novel quantized decoders for polar codes. Based on the optimal quantizer of binary -input discrete memoryless channels (BDMCs), the proposed decoders quantize the virtual subchannels of polar codes to maximize mutual information (MMI) between source bits and quantized symbols. The nested structure of polar codes ensures that the MMI quantization can be implemented stage by stage. Simulation results show that the proposed MMI decoders with 4 quantization bits outperform the existing nonuniform quantized decoders that minimize mean -squared error (MMSE) with 4 quantization bits, and yield even better performance than uniform MMI quantized decoders with 5 quantization bits. Furthermore, the proposed 5 -bit quantized MMI decoders approach the floating-point decoders with negligible performance loss.
引用
收藏
页码:125 / 134
页数:10
相关论文
共 14 条
  • [1] Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels
    Arikan, Erdal
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2009, 55 (07) : 3051 - 3073
  • [2] LLR-Based Successive Cancellation List Decoding of Polar Codes
    Balatsoukas-Stimming, Alexios
    Parizi, Mani Bastani
    Burg, Andreas
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2015, 63 (19) : 5165 - 5179
  • [3] Nonuniform Quantized Decoder for Polar Codes With Minimum Distortion Quantizer
    Cao, Zhiwei
    Zhu, Hongfei
    Zhao, Yuping
    Li, Dou
    [J]. IEEE COMMUNICATIONS LETTERS, 2021, 25 (03) : 835 - 839
  • [4] Hassani S. Hamed, 2012, Proceedings of the 2012 IEEE International Symposium on Information Theory - ISIT, P1962, DOI 10.1109/ISIT.2012.6283642
  • [5] He GN, 2017, IEEE GLOB COMM CONF
  • [6] Quantization of Binary-Input Discrete Memoryless Channels
    Kurkoski, Brian M.
    Yagi, Hideki
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, 60 (08) : 4544 - 4552
  • [7] A Semi-Parallel Successive-Cancellation Decoder for Polar Codes
    Leroux, Camille
    Raymond, Alexandre J.
    Sarkis, Gabi
    Gross, Warren J.
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2013, 61 (02) : 289 - 299
  • [8] Neu J, 2019, CONF REC ASILOMAR C, P1724, DOI [10.1109/ieeeconf44664.2019.9048843, 10.1109/IEEECONF44664.2019.9048843]
  • [9] CRC-Aided Decoding of Polar Codes
    Niu, Kai
    Chen, Kai
    [J]. IEEE COMMUNICATIONS LETTERS, 2012, 16 (10) : 1668 - 1671
  • [10] THE 3-SIGMA-RULE
    PUKELSHEIM, F
    [J]. AMERICAN STATISTICIAN, 1994, 48 (02) : 88 - 91