Research on Spatiotemporal 2-D Polarization Coding Technology Based on Spatial Modulation

ZHOU Xinyu; WANG Yuanping; QIU Yuping; XIE Zhaopeng; CAI Xiangming; KE Yueqian; CHEN Pingping

doi:10.12263/DZXB.20250841

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Research on Spatiotemporal 2-D Polarization Coding Technology Based on Spatial Modulation

PAPERS | 更新时间：2026-06-16

- Research on Spatiotemporal 2-D Polarization Coding Technology Based on Spatial Modulation
- ACTA ELECTRONICA SINICA Vol. 54, Issue 3, Pages: 1319-1327(2026)
- 作者机构：
  
  1.福州大学物理与信息工程学院，福建福州 350108
  2.福州大学先进制造学院，福建泉州 350116
  3.泉州师范学院物理与信息工程学院，福建泉州 362000
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China(62571134);The 2025 Fuzhou Major Science and Technology “Open Competition” Project(2025-ZD-020);Fujian Provincial Special Program for Industry-University-Research Collaboration(2024H6013)
- DOI：10.12263/DZXB.20250841
  CLC： TN911.22;TN911.3
- Received：25 September 2025，
  
  Revised：2026-02-26，
  
  Published：25 March 2026
- 稿件说明：
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周新宇, 王远平, 丘毓萍, 等. 基于空间调制的二维空时极化编码技术研究[J]. 电子学报, 2026, 54(03): 1319-1327.

ZHOU Xinyu, WANG Yuanping, QIU Yuping, et al. Research on Spatiotemporal 2-D Polarization Coding Technology Based on Spatial Modulation[J]. Acta Electronica Sinica, 2026, 54(03): 1319-1327.
周新宇, 王远平, 丘毓萍, 等. 基于空间调制的二维空时极化编码技术研究[J]. 电子学报, 2026, 54(03): 1319-1327. DOI：10.12263/DZXB.20250841

ZHOU Xinyu, WANG Yuanping, QIU Yuping, et al. Research on Spatiotemporal 2-D Polarization Coding Technology Based on Spatial Modulation[J]. Acta Electronica Sinica, 2026, 54(03): 1319-1327. DOI：10.12263/DZXB.20250841

摘要

本文针对空间调制（Spatial Modulation， SM）短码编码系统的译码性能受限问题，提出了一种基于二维极化空时编码的空间调制（2D Polar-Coded SM， 2D-PC-SM）系统。不同于一维极化码空间调制（1D-PC-SM）方案仅在时间域编码，所提方案进一步引入空域编码，充分利用大规模天线阵列提供的空间维度，将信源信息在时间域和空间域联合编码生成二维码字矩阵，并通过空间调制映射完成传输，提升短码场景下的传输可靠性。在接收端，利用空时编码后空间调制符号的稀疏特性，提出了基于正交匹配追踪（Orthogonal Matching Pursuit， OMP）和近似消息传递（Approximate Message Passing， AMP）的检测译码接收机。仿真结果表明，所提2D-PC-SM-AMP的译码性能距离最大似然（Maximum Likelihood， ML）接收机的一维编码系统小于0.1 dB。同时，相较于最小均方误差（Minimum Mean Square Error， MMSE）检测，基于OMP和AMP的检测译码接收机大幅降低了计算复杂度，并取得2 dB的译码性能增益。

Abstract

This paper addresses the limited decoding performance of spatial modulation (SM) systems with short codes

and proposes a two-dimensional polar-coded spatial modulation (2D-PC-SM) system based on two-dimensional polar space-time coding. Unlike the one-dimensional polar-coded spatial modulation (1D-PC-SM) scheme

which encodes only in the time domain

the proposed scheme further introduces spatial domain encoding to fully exploit the spatial dimensions provided by massive antenna arrays. Source information is jointly encoded in both the time domain and the spatial domain to generate a two-dimensional codeword matrix

which is then transmitted through spatial modulation mapping

thereby improving transmission reliability in short-code scenarios. At the receiver side

leveraging the sparsity of the spatial modulation symbols after space-time coding

detection and decoding receivers based on orthogonal matching pursuit (OMP) and approximate message passing (AMP) are proposed. Simulation results demonstrate that the decoding performance of the proposed 2D-PC-SM-AMP is within 0.1 dB of the one-dimensional coded system with a maximum likelihood (ML) receiver. Meanwhile

compared to minimum mean square error (MMSE) detection

the OMP- and AMP-based detection and decoding receivers significantly reduce computational complexity while achieving a 2 dB decoding performance gain.

关键词

Keywords

references

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