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Open Access research which pushes advances in bionanotechnology

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SIPBS is a major research centre in Scotland focusing on 'new medicines', 'better medicines' and 'better use of medicines'. This includes the exploration of nanoparticles and nanomedicines within the wider research agenda of bionanotechnology, in which the tools of nanotechnology are applied to solve biological problems. At SIPBS multidisciplinary approaches are also pursued to improve bioscience understanding of novel therapeutic targets with the aim of developing therapeutic interventions and the investigation, development and manufacture of drug substances and products.

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Causality-constrained multiple shift sequential matrix diagonalisation for parahermitian matrices

Corr, Jamie and Thompson, Keith and Weiss, Stephan and McWhirter, John G. and Proudler, Ian K. (2014) Causality-constrained multiple shift sequential matrix diagonalisation for parahermitian matrices. In: 2014 Proceedings of the 22nd European Signal Processing Conference (EUSIPCO). IEEE, pp. 1277-1281. ISBN 978-0-9928626-1-9

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Abstract

This paper introduces a causality constrained sequential matrix diagonalisation (SMD) algorithm, which generates a causal paraunitary transformation that approximately diagonalises and spectrally majorises a parahermitian matrix, and can be used to determine a polynomial eigenvalue decomposition. This algorithm builds on a multiple shift technique which speeds up diagonalisation per iteration step based on a particular search space, which is constrained to permit a maximum number of causal time shifts. The results presented in this paper show the performance in comparison to existing algorithms, in particular an unconstrained multiple shift SMD algorithm, from which our proposed method derives.