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

XU Xian-feng; DUAN Chen-dong; LIU Lai-jun; YANG Xiao-jun

doi:10.3969/j.issn.0372-2112.2017.04.033

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

更新时间：2025-07-16

- An Analytical Direction-of-Arrival Algorithm Based on the Estimation of Rotation Matrix
- Acta Electronica Sinica Vol. 45, Issue 4, Pages: 1012-1017(2017)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
  
  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)
- DOI：10.3969/j.issn.0372-2112.2017.04.033
  CLC： TN911.7
- Published Online：25 April 2017，
  
  Published：2017
- 稿件说明：
移动端阅览
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.
DOI：

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. DOI： 10.3969/j.issn.0372-2112.2017.04.033.

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.

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.

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