一种解析的基于旋转矩阵估计的波达方向估计方法

doi:10.3969/j.issn.0372-2112.2017.04.033

电子学报 ›› 2017, Vol. 45 ›› Issue (4): 1012-1017.DOI: 10.3969/j.issn.0372-2112.2017.04.033

一种解析的基于旋转矩阵估计的波达方向估计方法

徐先峰¹, 段晨东¹, 刘来君², 杨小军³

1. 长安大学电子与控制工程学院, 陕西西安 710064;
2. 长安大学公路学院, 陕西西安 710064;
3. 长安大学信息工程学院, 陕西西安 710064

收稿日期:2015-11-06 修回日期:2016-05-06 出版日期:2017-04-25
- 作者简介:
- 徐先峰 男,1982年3月出生于山东宁阳,博士、副教授、硕士生导师.主要研究方向为盲信号处理及其应用.E-mail:xuxianfeng1982@163.com;段晨东 男,1966年4月出生于陕西韩城,博士、教授、硕士生导师.主要研究方向为信号处理、故障诊断与模式识别.E-mail:cdduan@chd.edu.cn
- 基金资助:
- 国家自然科学基金 (No.61201407，No.61473047）; 中国博士后科学基金面上资助 (No.2013M542309）; 陕西省自然科学基础研究计划 (No.2016JQ5103）; 长安大学中央高校基本科研业务费 (No.0009-2014G1321038）

An Analytical Direction-of-Arrival Algorithm Based on the Estimation of Rotation Matrix

XU Xian-feng¹, DUAN Chen-dong¹, LIU Lai-jun², YANG Xiao-jun³

1. School of Electronic & Control Engineering, Chang'an University, Xi'an, Shaanxi 710064, China;
2. School of Highway, Chang'an University, Xi'an, Shaanxi 710064, China;
3. School of Information Engineering, Chang'an University, Xi'an, Shaanxi 710064, China

Received:2015-11-06 Revised:2016-05-06 Online:2017-04-25 Published:2017-04-25
- Supported by:
- National Natural Science Foundation of China (No.61201407, No.61473047); General Program supported by Foundation of China Postdoctoral Science Foundation (No.2013M542309); Natural Science Basic Research Program of Shaanxi Province (No.2016JQ5103); Fundamental Research Funds for the Central Universities of Chang'an University (No.0009-2014G1321038)

摘要/Abstract

摘要：

本文提出了一种解析的基于旋转矩阵估计的高分辨波达方向估计算法.为了充分利用空时信息以提高算法的估计性能，利用传感器阵列接收数据相关矩阵构建既包含旋转矩阵信息又具有可对角化结构的目标矩阵组.通过一系列矩阵变换，将复数域普通目标矩阵组转化为实数域对称目标矩阵组，以利用ACDC算法实现目标矩阵组的联合对角化并求得对角矩阵，继而求取旋转矩阵并挖掘波达角度信息，实现了波达方向估计.仿真结果表明，与其他现存的经典算法相比，所提算法具有更强的分辨能力及更准确的估计性能.

关键词: 波达方向估计, 旋转矩阵估计算法, 联合对角化, ACDC算法

Abstract:

An analytical high-resolution direction-of-arrival (DOA) algorithm based on the estimation of rotation matrix(ERM) is proposed.In order to sufficiently utilize the concerning spatial temporal domain information to improve the performance of the algorithm,a set of correlation matrices of the received signals containing the rotation matrix and possessing diagonal structure is generated.These common complex-valued target matrices are transformed into real symmetrical ones through a series of matrix transformation operations to make use of ACDC to diagonalize the target matrices and to estimate the rotation matrix.The arrival angles could be further derived and the DOA goal could be finally reached.Simulation results illustrate that,compared with other existing state-of -the-art DOA algorithms,the proposed ERM possesses higher resolution and more accurate DOA estimation performance.

Key words: direction-of-arrival (DOA) estimation, estimation of rotation matrix (ERM), joint diagonalization (JD), alternating columns diagonal centers (ACDC)

中图分类号:

TN911.7

徐先峰, 段晨东, 刘来君, 等. 一种解析的基于旋转矩阵估计的波达方向估计方法[J]. 电子学报, 2017, 45(4): 1012-1017.

XU Xian-feng, DUAN Chen-dong, LIU Lai-jun, et al. An Analytical Direction-of-Arrival Algorithm Based on the Estimation of Rotation Matrix[J]. Acta Electronica Sinica, 2017, 45(4): 1012-1017.

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一种解析的基于旋转矩阵估计的波达方向估计方法

An Analytical Direction-of-Arrival Algorithm Based on the Estimation of Rotation Matrix

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