An Algebraic Approach to Superresolution Array Processing

In a recent paper we made an algebraic characterization of the problem of resolving closely spaced plane waves incident on a linear array. The characterization encompassing several superresolution processing methods and encompassed the Wiener, maximum likelihood, and Pisarenko methods as well as suggesting new procedures. In this paper we amplify the algebraic approach and extend the results to consider correlated noise. An adaptive algorithm is given for a particularly effective processing method.