基于相关TOP矩阵的相干信源数盖氏圆估计方法

大部分高分辨波达方向估计算法都是以特征子空间分解为基础的,所以正确估计信号源数对算法结果有效性起着至关重要的作用。该文提出了一种基于均匀线形阵列的相关Toeplitz矩阵构造方法,并结合盖氏圆半径法形成一种相干信源数估计的盖氏圆改进方法,将接收阵列各阵元与参考阵元输出信号做相关,得到一组相关向量,应用相关Toeplitz矩阵构造算法构造阵列输出的Toeplitz矩阵,从而得到去相干的盖氏圆估计矩阵,最后再应用盖氏圆准则完成相干信源数估计。仿真结果表明,本文所用相关Toeplitz矩阵构造算法达到了去相干的作用,扩展了盖氏圆半径法的应用范围,使得盖氏圆准则在不损失阵列有效孔径前提下,能够有效估计相干信源数目。

Gerschgorin Disk Estimation Method for Number of Coherent Signals Based on Correlation Toeplitz Matrix

Most algorithms of high direction of arrival（DOA） estimation are on the basis of decomposing characteristic sub-space,so accurate estimation of the coherent signal number is very important to the effectiveness of the algorithms.We present an improved Gerschgorin disk criterion estimation method for the number of coherent signals based on linear equally spaced array.A group of vectors is obtained by correlating each receiving array element with output signal of reference array element.The output Toeplitz matrix of array is constructed with the vector by using Toeplitz matrix structure algorithms,then a decoherent Gerschgorin disk estimation matrix is achieved to estimate the number of coherent signals via Gerschgorin disk criterion.Simulation results show that this method can obtain decoherent signals,extend the application of Gerschgorin radii,and effectively enable the estimation of coherent signal number without losing the valid aperture of the array.