联合对角化技术在空间谱估计中的应用

赵龙龙; 宋海岩

doi:10.11993/j.issn.1673-1948.2012.05.006

联合对角化技术在空间谱估计中的应用

doi: 10.11993/j.issn.1673-1948.2012.05.006

赵龙龙¹,
宋海岩²

1.
中国人民解放军91388部队, 广东湛江, 524022
2.
黑龙江工程学院电气与信息工程学院, 黑龙江哈尔滨, 150050

详细信息

作者简介:
赵龙龙(1976-), 男, 硕士, 工程师, 研究方向为水声工程.

中图分类号: TJ630.34; TB556
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- 文章访问数: 1001
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- 被引次数: 0
出版历程
- 收稿日期: 2012-03-13
- 修回日期: 2012-04-01
- 刊出日期: 2012-10-20

Application of Joint Diagonalization Technology to Spatial Specturm Estimation

ZHAO Long-long¹,
SONG Hai-yan²

1.
91388th Unit, The people′s Liberation Army of China, Zhanjiang 524022, China
2.
College of Electrical and Informa-tion Engineering, Heilongjiang Institute of Technology, Harbin 150050, China

摘要

摘要: 在实际工程应用中, 传统空间谱估计方法受噪声、干扰及采样效应等因素影响, 其性能明显退化。为了克服这些因素对方位估计结果的影响, 提高算法性能, 本文将空时相关矩阵组代替传统的采样协方差矩阵, 利用联合对角化这一新的数学工具, 研究了一种基于Jacobi旋转正交联合对角化的空间谱估计方法。通过对空时相关矩阵组进行联合对角化, 得到了联合对角化矩阵和对角化后的矩阵组, 最终利用联合特征值和特征向量得到修正的阵列协方差矩阵, 并对空间谱估计处理器进行修正。仿真结果表明, 在不同的信噪比、快拍数等条件下, 基于联合对角化的空间谱估计算法较传统方法具有更高的分辨力和更低的均方根误差, 能有效降低方位估计的信噪比门限, 进而改善传统空间谱估计方法的方位估计性能。
- 空间谱 /
- 联合对角化 /
- Jacobi旋转 /
- 空时相关矩阵组 /
- 方位估计
Abstract: In practical engineering applications, the performance of conventional spatial spectrum estimation method gets degraded due to the effects of noise, interference and sampling effect, etc. In order to reduce these effects on direction of arrival (DOA) estimation, this paper uses the joint diagonalization to construct the joint diagonalization structure of the spatial-time correlation matrix groups, and obtains a spatial spectrum estimation method based on Jacobi rotation or-thogonal joint diagonalization. Thus, corresponding eigenvalues and eigenvectors are utilized to obtain the revised co-variance matrix, and the spatial spectrum estimator is revised. Simulation results show that, under different signal to noise ratio(SNR) and snapshots, the proposed method can significantly improve the DOA estimation performance of the conventional spatial spectrum estimation method.
- spatial spectrum /
- joint diagonalization /
- Jacobi rotation /
- space-time correlation matrix groups /
- direction of arrival(DOA) estimation

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参考文献(17)

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