Picture water droplets

Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

Strathprints makes available Open Access scholarly outputs by Strathclyde's Department of Mathematics & Statistics, where continuum mechanics and industrial mathematics is a specialism. Such research seeks to understand fluid dynamics, among many other related areas such as liquid crystals and droplet evaporation.

The Department of Mathematics & Statistics also demonstrates expertise in population modelling & epidemiology, stochastic analysis, applied analysis and scientific computing. Access world leading mathematical and statistical Open Access research!

Explore all Strathclyde Open Access research...

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.

[img]
Preview
Text (Alzin-etal-ICMSP2016-Polynomial-matrix-formulation-based-Capon-beamformer)
Alzin_etal_ICMSP2016_Polynomial_matrix_formulation_based_Capon_beamformer.pdf
Accepted Author Manuscript

Download (1MB) | Preview

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.