一种基于少快拍数的稳健信源数估计方法

南京大学学报(自然科学版) ›› 2016, Vol. 52 ›› Issue (6): 1139–.

一种基于少快拍数的稳健信源数估计方法

郑啸宇1，王建卫1，柏业超2*

出版日期:2016-11-21 发布日期:2016-11-21
作者简介: 1.南京电子技术研究所，南京，210013；2.南京大学电子科学与工程学院，南京，210023
基金资助:
基金项目：江苏省基础研究计划(BK20151391)
收稿日期：2016－03－05
*通讯联系人，Email：ychbai@nju.edu.cn

A robust source number estimation method based on few snapshots

Zheng Xiaoyu1，Wang Jianwei1，Bai Yechao2*

Online:2016-11-21 Published:2016-11-21
About author: 1.Nanjing Research Institute of Electronics Technology，Nanjing，210013，China；
2．School of Electronic Science and Engineering，Nanjing University，Nanjing，210023，China

摘要/Abstract

摘要： 在雷达阵列信号处理中，信源数估计是空间谱分析的基础．传统的信源数估计方法多是基于采样快拍数无限多的假设，采样快拍数较多时，这些方法可以发挥良好的估计性能．在采样快拍数有限的情况下，传统的信源数估计方法性能下降，甚至不能发挥作用．本文针对阵元数较多而采样快拍数有限的情况，利用矩阵加权算法对雷达回波信号的协方差矩阵进行加权优化，减小样本协方差矩阵与实际协方差矩阵间的均方误差(Mean Square Error，MSE)，然后结合一种基于随机矩阵的估计方法在少快拍数下进行信号源数目预测，得到一种稳定的信源数估计．仿真结果表明，在阵元数较多而采样快拍数有限的情况下，本文所提出的方法可以有效并且稳定地提高信源数估计的准确率．

Abstract: In the array signal processing of radar，signal source number estimation is a basis of spatial spectrum analysis.The traditional source number estimators are mostly based on the assumption that the number of the array elements is fixed and the number of sampling snapshots tends to infinite.Those traditional methods perform well under the condition that the number of snapshots is extremely higher than the number of array elements.However，in the arrays with larger number of elements and few sampling snapshots，the performance of those traditional source number estimation methods declines，even cannot work properly in practical applications.Results from large dimensional random matrix theory are leveraged in this paper to solve this problem.Large dimensional random matrix theory adopts a new asymptotic regime，i.e.，the number of array elements tending to infinite，the number of snapshots tending to infinite，with the ratio between them tending to a constant larger than zero.The results deduced from the new regime handle the situation when the number of array elements and the number of snapshots are of the similar magnitude.Under the certain condition of higher sampling dimension and limited snapshot number，firstly we try to use the matrix weighted algorithm to optimize the covariance matrix of the signal space to reduce the mean square error(MSE)of the sample covariance matrix versus the real signal covariance matrix，and then we apply a source number estimation method using theory of the random matrix to predict the number of signal source number.Through those work，we get a relatively stable source number estimation.By the way of some related simulations on Matlab，we can find that，under the conditions with limited snapshots，the method in this paper can efficiently and stably increase the accuracy of the source number estimation.

郑啸宇1，王建卫1，柏业超2*. 一种基于少快拍数的稳健信源数估计方法
[J]. 南京大学学报(自然科学版), 2016, 52(6): 1139–.

Zheng Xiaoyu1，Wang Jianwei1，Bai Yechao2*. A robust source number estimation method based on few snapshots
[J]. Journal of Nanjing University(Natural Sciences), 2016, 52(6): 1139–.

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