New Targets Number Estimation Method Based on Spatial Smoothing with Auxiliary Vectors

摘要

A Multiple Targets Detection method based on Spatial Smoothing (MTDSS) is proposed to solve the problem of source number estimation under color noise background. Forward-backward smoothing by using signal vectors on specific elements as auxiliary vectors is computed. By spatial smoothing with auxiliary vectors, the correlated signals are decorrelated, and the color noise is partially alleviated. The correlation matrix of forward-backward smoothed data is computed. Gerschgorin radii of the smoothed correlation matrix are computed by unitary transformation. By exploring the inherent property of the covariance matrix, a threshold based on the Gerschgorin radii is set to estimate the number of sources. Simulation results validate that MTDSS has effective performance under the condition of colored noise background and coherent sources.1