A new method using Gerschgorin disks for source number estimation

In this paper, the effective using of Gerschgorin radii for source number detection is introduced. In practical projects, we do not know any prior information. For example, there may have several sources, and some sources are probably very near, and some also may have different SNRs (signal-to-noise ratio). Here we use a new improved Gerschgorin radii method (NDGE) for source number detection. Firstly, in order to deflate the radii, the covariance matrix is transformed with a unitary matrix. Then, the criterion of Gerschgorin radii is modified with weighing and averaging. Finally, the result of computer simulations shows that this new method can solve the problem well.