Analysing the performance of divide-and-conquer sequential matrix diagonalisation for large broadband sensor arrays

Coutts, Fraser K. and Thompson, Keith and Weiss, Stephan and Proudler, Ian K. (2017) Analysing the performance of divide-and-conquer sequential matrix diagonalisation for large broadband sensor arrays. In: IEEE International Workshop on Signal Processing Systems, 2017-10-03 - 2017-10-05. (https://doi.org/10.1109/SiPS.2017.8109976)

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Abstract

A number of algorithms capable of iteratively calculating a polynomial matrix eigenvalue decomposition (PEVD) have been introduced. The PEVD is an extension of the ordinary EVD to polynomial matrices and will diagonalise a parahermitian matrix using paraunitary operations. Inspired by recent work towards a low complexity divide-and-conquer PEVD algorithm, this paper analyses the performance of this algorithm - named divide-and-conquer sequential matrix diagonalisation (DC-SMD) - for applications involving broadband sensor arrays of various dimensionalities. We demonstrate that by using the DC-SMD algorithm instead of a traditional alternative, PEVD complexity and execution time can be significantly reduced. This reduction is shown to be especially impactful for broadband multichannel problems involving large arrays.

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