Simultaneous Estimation of Azimuth and Elevation Angles and Frequency of Plane Wave Signals Using a Modified Matrix Pencil Method

Abstract

In this paper, the modified matrix pencil method [1] is extended from 2D to 3D for simultaneously estimating azimuth and elevation angles and frequency of multiple signals impinging on a volumetric array of sensors. Conventional matrix pencil method, which is used to estimate unknown parameters, needs a separate algorithm to associate the estimated components with each other to get proper groups of azimuth and elevation angles and frequencies of incoming signals [2]. The method proposed here automatically estimates unknown parameters in a group form, thereby bypassing the computationally expensive pairing operation. Moreover, simulation results show that grouping of unknown parameters using the proposed method is always correct in contrast to matrix pencil method whose results are sometimes erroneous.