A system theoretic approach to array processing

Abstract

In this paper, utilizing system theoretic concepts a sound, rigorous theory of array processing is established which leads to several new results. MUSIC, MIN-NORM, ESPRIT, and PISARENKO used for both spatial and temporal spectral decomposition of signals are well known techniques in array processing. In this work, a general approach generalizing them is presented. A theory for multipath case is provided for analysis and design of array structures without the assumption of linearity and equal spaceness which estimates the temporal frequency and the directions for coherent sources. Our approach is also developed to null signals in certain directions with certain frequencies, such as for multipath cancellation.