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Polynomial matrix formulation-based Capon beamformer

Alzin, Ahmed and Coutts, Fraser K. and Corr, Jamie and Weiss, Stephan and Proudler, Ian K. and Chambers, Jonathon A. (2016) Polynomial matrix formulation-based Capon beamformer. In: 11th IMA International Conference on Mathematics in Signal Processing. Institute of Mathematics and its Applications, Southend-on-Sea.

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Abstract

This paper demonstrates the ease with which broadband array problems can be generalised from their well-known, straightforward narrowband equivalents when using polynomial matrix formulations. This is here exemplified for the Capon beamformer, which presents a solution to the minimum variance distortionless response problem. Based on the space-time covariance matrix of the array and the definition of a broadband steering vector, we formulate a polynomial MVDR problem. Results from its solution in the polynomial matrix domain are presented.