基于DMA异构码本循环卡尔曼滤波的抗抖动DOA估计

刘武锭; 易鸣; 金梁; 焦世恒; 张炳奇; 吕浩宇

doi:10.11959/j.issn.1000-0801.2025044

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基于DMA异构码本循环卡尔曼滤波的抗抖动DOA估计

研究与开发 | 更新时间：2025-04-24

- 基于DMA异构码本循环卡尔曼滤波的抗抖动DOA估计
- DOA estimation with anti-jitter based on DMA heterogeneous codebook cyclic Kalman filtering
- 电信科学 2025年41卷第3期页码：142-153
- 作者机构：
  
  1.信息工程大学，河南郑州 450000
  2.郑州大学，河南郑州 450001
- 作者简介：
  
  [ "刘武锭（1996- ），男，信息工程大学硕士生，主要研究方向为智能超表面、无线通信、阵列信号处理等。" ]
  [ "易鸣（1986- ），男，信息工程大学副研究员、硕士生导师，主要研究方向为智能超表面、物理层安全、阵列信号处理等。" ]
  [ "金梁（1969- ），男，信息工程大学教授、博士生导师，主要研究方向为智能超表面、无线内生安全、移动通信、物理层安全等。" ]
  [ "焦世恒（2001- ），男，信息工程大学硕士生，主要研究方向为智能超表面和物理层安全等。" ]
  [ "张炳奇（1998- ），男，郑州大学硕士生，主要研究方向为智能超表面、阵列信号处理、无线通信抗干扰等。" ]
  [ "吕浩宇（2001- ），男，信息工程大学硕士生，主要研究方向为无线通信和阵列信号处理等。" ]
- 基金信息：
  
  国家自然科学基金资助项目(U22A2001);自主科研项目“基于智能反射面的单通道测向定位技术研究”(a8709)
- DOI：10.11959/j.issn.1000-0801.2025044
  中图分类号： TP928
- 收稿：2024-11-19，
  
  修回：2025-01-07，
  
  纸质出版：2025-03-20
- 稿件说明：
移动端阅览
刘武锭,易鸣,金梁等.基于DMA异构码本循环卡尔曼滤波的抗抖动DOA估计[J].电信科学,2025,41(03):142-153.

LIU Wuding,YI Ming,JIN Liang,et al.DOA estimation with anti-jitter based on DMA heterogeneous codebook cyclic Kalman filtering[J].Telecommunications Science,2025,41(03):142-153.
刘武锭,易鸣,金梁等.基于DMA异构码本循环卡尔曼滤波的抗抖动DOA估计[J].电信科学,2025,41(03):142-153. DOI： 10.11959/j.issn.1000-0801.2025044.

LIU Wuding,YI Ming,JIN Liang,et al.DOA estimation with anti-jitter based on DMA heterogeneous codebook cyclic Kalman filtering[J].Telecommunications Science,2025,41(03):142-153. DOI： 10.11959/j.issn.1000-0801.2025044.

摘要

动态超表面天线（dynamic metasurface antenna，DMA）已成为空基平台波达方向（direction of arrival，DOA）估计的优选技术，但其性能易受平台抖动的影响。针对空基平台在DOA估计中面临的角度随机抖动问题，提出了一种基于DMA异构码本循环卡尔曼滤波的抗抖动DOA估计算法。首先，针对角度随机抖动导致的接收端数据非线性问题，提出了一种非线性误差分离方案，将接收数据中的抖动误差转化为易于分离的线性分量，便于后续的抖动分量滤除。其次，为了使接收数据与卡尔曼滤波算法相匹配，提出了一种异构码本循环方案，通过在长时间尺度上构建相同的DMA码字，以支持卡尔曼滤波算法利用累积的时间信息来识别和滤除抖动误差。最后，卡尔曼滤波处理后的数据通过原子范数方法恢复出稀疏信号，并采用基于Hankel矩阵分解的多信号分类（multiple signal classification，MUSIC）方法进行空间谱估计。仿真结果证实，在相同信噪比（signal-to-noise ratio，SNR）条件下，所提方案相较于传统的多次估计平均方案，估计精度提升了48%，估计结果更接近无抖动的理想状态。

Abstract

The dynamic metasurface antenna (DMA) has become an innovative technology designed to estimate the direction of arrival (DOA) for airborne platforms. However

its performance can be significantly impacted by platform jitter. To address the issue of random angular jitter in airborne DOA estimation

an anti-jitter DOA estimation algorithm based on DMA heterogeneous codebook cyclic Kalman filtering was proposed. Firstly

a scheme for addressing the nonlinearity in received data due to random angular jitter was proposed. This method transformed jitter-induced errors into linear components

facilitating the subsequent filtering of jitter components. Secondly

a heterogeneous codebook cycling scheme was proposed to ensure compatibility between received data and the Kalman filtering algorithm. This involved constructing identical DMA codewords over extended time scales

enabling the Kalman filter to leverage accumulated temporal information for jitter error identification and filtration. Finally

the data processed by the Kalman filter was restored to sparse signals using the atomic norm method. Furthermore

spatial spectrum estimation was performed using the multiple signal classification (MUSIC) algorithm based on Hankel matrix decomposition. The simulation results confirm that

under the exact signal-to-noise ratio (SNR) conditions

the proposed method improves the estimation accuracy by 48% compared to the traditional approach of averaging multiple estimates. It refines the estimation results to approximate the ideal jitter-free state.

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