基于平均共识的分布式子阵间幅相误差校正算法

doi:10.12305/j.issn.1001-506X.2025.07.01

系统工程与电子技术 ›› 2025, Vol. 47 ›› Issue (7): 2077-2085.doi: 10.12305/j.issn.1001-506X.2025.07.01

• 电子技术 •

基于平均共识的分布式子阵间幅相误差校正算法

宋奇¹^,², 孟祥天¹, 曹丙霞¹^,*, 沙明辉³, 朱应申³, 闫锋刚¹

1. 哈尔滨工业大学(威海)信息科学与工程学院, 山东威海 264200
2. 哈尔滨工业大学电子与信息工程学院, 黑龙江哈尔滨 150001
3. 北京无线电测量研究所, 北京 100854

收稿日期:2024-07-08 出版日期:2025-07-16 发布日期:2025-07-22
通讯作者: 曹丙霞
作者简介:宋奇(1997—), 男, 博士研究生, 主要研究方向为阵列信号处理、阵列误差校正
孟祥天(1994—), 男, 讲师, 博士, 主要研究方向为阵列信号处理、反辐射制导
曹丙霞(1980—), 女, 副教授, 博士, 主要研究方向为阵列信号处理、极化雷达
沙明辉(1986—), 男, 研究员, 博士, 主要研究方向为雷达系统设计、雷达波形优化
朱应申(1985—), 男, 高级工程师, 博士, 主要研究方向为电子对抗、技术侦察
闫锋刚(1982—), 男, 教授, 博士, 主要研究方向为雷达信号处理、电子对抗
基金资助:
国家自然科学基金(62171150);泰山学者工程专项经费(tsqn202211087);山东省自然科学基金(ZR2023MF091);航空科学基金(2023Z037077002)

Distributed inter-subarray gain and phase error calibration algorithm based on average consensus

Qi SONG¹^,², Xiangtian MENG¹, Bingxia CAO¹^,*, Minghui SHA³, Yingshen ZHU³, Fenggang YAN¹

1. School of Information Science and Engineering, Harbin Institute of Technology at Weihai, Weihai 264200, China
2. School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin 150001, China
3. Beijing Institute of Radio Measurement, Beijing 100854, China

Received:2024-07-08 Online:2025-07-16 Published:2025-07-22
Contact: Bingxia CAO

摘要/Abstract

摘要：

分布式处理结构凭借低通信成本、高系统稳定性、低算力需求等优点被广泛应用于阵列信号处理领域, 但去融合中心也导致传统误差校正方法不再适用。为此, 分别提出适用于分布式结构的子阵间幅相误差有源校正算法和自校正算法。首先, 基于平均共识理论, 利用子阵节点协方差矩阵和共轭梯度法, 实现分布式子阵间幅相误差有源校正。随后, 利用接收数据的Hadamard积进行波达方向估计, 实现分布式结构下子阵间幅相误差自校正。仿真结果表明, 所提算法能够有效实现子阵间幅相误差的分布式校正, 且算法性能不受子阵间幅相误差大小的影响。

关键词: 分布式校正, 幅相误差, 平均共识, 波达方向估计

Abstract:

With the advantages of low communication cost, high system stability, and minimal arithmetic requirement, the distributed processing framework is widely developed in the field of array signal processing. However, the traditional error calibration method are no longer applicable because of lacking of the fusion center (FC). Thus, an active calibration algorithm and a self-calibration algorithm are proposed for calibrating the inter-subarray gain and phase errors in this framework, respectively. Firstly, based on average consensus theory, the active calibration is achieved by using covariance matrixes of the subarray nodes and conjugate gradient (CG) algorithm. Secondly, the direction of arrival estimation (DOA) can be obtained by utilizing the Hadamard product of receiving data, which makes the self-calibration achieved for inter-subarray gain and phase errors in distributed structure. The simulation results demonstrate that the distributed calibration for gain and phase error can be achieved effectively by the proposed algorithm and its performance is independent of the inter-subarray gain and phase error.

Key words: distributed calibration, gain and phase error, average consensus, direction-of arrival (DOA) estimation

中图分类号:

TN911.23

宋奇, 孟祥天, 曹丙霞, 沙明辉, 朱应申, 闫锋刚. 基于平均共识的分布式子阵间幅相误差校正算法[J]. 系统工程与电子技术, 2025, 47(7): 2077-2085.

Qi SONG, Xiangtian MENG, Bingxia CAO, Minghui SHA, Yingshen ZHU, Fenggang YAN. Distributed inter-subarray gain and phase error calibration algorithm based on average consensus[J]. Systems Engineering and Electronics, 2025, 47(7): 2077-2085.

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基于平均共识的分布式子阵间幅相误差校正算法

Distributed inter-subarray gain and phase error calibration algorithm based on average consensus

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