This paper presents a novel method for calculating a compact order singular value
decomposition (SVD) of polynomial matrices, building upon the recently proven existence of …

A matrix of analytic functions A (z), such as the matrix of transfer functions in a multiple-input
multiple-output (MIMO) system, generally admits an analytic singular value decomposition …

The proof of existence of an analytic singular value decomposition (SVD) has been formally
established. This mo-tivates the need to devise an algorithm which retrieves analytic …

The best least squares approximation of a matrix, typically eg characterising gain factors in
narrowband problems, by a unitary one is addressed by the Procrustes problem. Here, we …

Multichannel broadband signals arise at the core of many essential military technologies
such as radar, sonar and communications, and commercial applications like …

The singular value decomposition (SVD) of polynomial matrices plays a pivotal role in the
analysis and optimisation of broadband multi-input multi-output (MIMO) systems. In this …

The analysis and design of broadband multichannel systems typically involves convolutive
mixing, characterised by matrices of transfer functions. Further, many broadband …

Polynomial matrix algebra with applications Page 1 Polynomial Matrix Algebra with Applications
Stephan Weiss, Ian K. Proudler, and Fraser K. Coutts UDRC Phase 3 Consortium on …