An OMP-based hybrid precoding algorithm with column-orthogonality constraint for cell-free networks

Zhang Sihan; Wang Anding

doi:10.11959/j.issn.1000-0801.2026021

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An OMP-based hybrid precoding algorithm with column-orthogonality constraint for cell-free networks

Research and Development | 更新时间：2026-03-05

- An OMP-based hybrid precoding algorithm with column-orthogonality constraint for cell-free networks
- Telecommunications Science Vol. 42, Issue 2, Pages: 59-74(2026)
- 作者机构：
  
  浙江工商大学信息与电子工程学院，浙江杭州 310018
- 作者简介：
- 基金信息：
  
  The Natural Science Foundation of Zhejiang Province(LY22F010013)
- DOI：10.11959/j.issn.1000-0801.2026021
  CLC： TN929.5
- Received：29 May 2025，
  
  Revised：2025-07-20，
  
  Accepted：06 August 2025，
  
  Published：20 February 2026
- 稿件说明：
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张思涵,王安定.面向去蜂窝网络的基于列正交约束的OMP混合预编码算法[J].电信科学,2026,42(02):59-74.

Zhang Sihan,Wang Anding.An OMP-based hybrid precoding algorithm with column-orthogonality constraint for cell-free networks[J].Telecommunications Science,2026,42(02):59-74.
张思涵,王安定.面向去蜂窝网络的基于列正交约束的OMP混合预编码算法[J].电信科学,2026,42(02):59-74. DOI： 10.11959/j.issn.1000-0801.2026021.

Zhang Sihan,Wang Anding.An OMP-based hybrid precoding algorithm with column-orthogonality constraint for cell-free networks[J].Telecommunications Science,2026,42(02):59-74. DOI： 10.11959/j.issn.1000-0801.2026021.

摘要

针对工作在毫米波频段下的去蜂窝大规模多输入多输出（cell-free massive multiple-input multiple-output，CF-mMIMO）系统中混合预编码设计面临的链路开销大与数值不稳定等问题，提出了一种适配分布式架构的基于列正交约束的正交匹配追踪（orthogonal matching pursuit，OMP）算法。在模拟预编码阶段，采用基于旋转不变性技术的信号参数最小二乘估计（least squares estimation of signal parameters via rotational invariance technique，LS-ESPRIT）算法，基于接收信号直接估计信号到达角，并重构波束码本，有效压缩了反馈开销；在数字预编码阶段，引入列正交约束并推导了最优因子，重构了优化目标函数，规避了病态矩阵求逆问题，提升了预编码矩阵的数值稳定性与匹配精度。仿真结果表明，该算法在不同接入点分布结构与系统参数设置下均能保持稳定且明显的频谱效率性能提升，验证了其在CF-mMIMO系统中的鲁棒性与优越性。

Abstract

To address the issues of high link overhead and numerical instability in hybrid precoding design for cell-free massive multiple-input multiple-output (CF-mMIMO) systems operating in the millimeter-wave band

a column-orthogonality-constrained orthogonal matching pursuit (OMP) algorithm adapted to distributed architectures was proposed. In the analog precoding phase

a least squares estimation of signal parameters via rotational invariance technique (LS-ESPRIT) algorithm was employed to directly estimate the angle of arrival from received signals and reconstruct the beamforming codebook

thereby significantly reducing the feedback overhead. In the digital precoding phase

a column orthogonality constraint was introduced

and the optimal scaling factor was derived to reformulate the objective function. This avoided the inversion of ill-conditioned matrices and enhanced both the numerical stability and matching accuracy of the precoding matrix. Simulation results demonstrate that the proposed algorithm consistently achieves stable and significant improvements in spectral efficiency across various access point distributions and system parameter configurations

verifying its robustness and effectiveness in CF-mMIMO systems.

关键词

Keywords

references

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