Beam steering response matrix inversion method: Accurate localization of simultaneous high and low frequency sources using a small line array

Abstract

The Beam Steering Response (BSR) Matrix Inversion Method is a technique using a small line array that, when mathematically steered to populate a BSR matrix, can simultaneously resolve the locations of multiple sources. Using this technique, high directivity over a wide frequency range may be achieved with a small array. Simultaneous tracking of multiple low and high frequency sources is demonstrated using the BSR Matrix Inversion Method with an acoustic video camera having a 49 inch, 8 element line array. This paper addresses 1) the derivation of the Beam Steering Response matrix, 2) line array design considerations, 3) processing limitations, and 4) a practical demonstration of the BSR Matrix Inversion Method.