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.