Sparse spectral fitting for Direction Of Arrival and power estimation

In this paper, we present a sparse spatial spectrum estimation method which provides superresolution direction-finding performance and accurate signal power estimation simultaneously. Compressive sensing ideas are used in conjunction with a postulated model for the covariance matrix of the array output instead of the output itself. Following a preliminary analysis of the method and a geometric interpretation of the estimation process, simulation examples are presented to illustrate several performance characteristics of the technique.