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Causality constrained multiple shift sequential matrix diagonalisation for parahermitian matrices

Corr, J., Thompson, K., Weiss, S., McWhirter, John ORCID: https://orcid.org/0000-0003-1810-3318 and Proudler, I. K. 2014. Causality constrained multiple shift sequential matrix diagonalisation for parahermitian matrices. Presented at: 2014 Signal Processing Conference (EUSIPCO), Lisbon, Portugal, 1 - 5 September 2014. 2014 Proceedings of the 22nd European Signal Processing Conference (EUSIPCO). Signal Processing Conference (EUSIPCO), 2014 Proceedings of the 22nd European. IEEE, pp. 1277-1281.

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Abstract

This paper introduces a causality constrained sequential matrix diagonalisation (SMD) algorithm, which generates a causal paraunitary transformation that aprroximately 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 by diagonalisation per iteration step based on a particular search space, which is contrained 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.

Item Type: Conference or Workshop Item (Paper)
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Publisher: IEEE
Related URLs:
Date of First Compliant Deposit: 30 March 2016
Last Modified: 16 Nov 2023 11:35
URI: https://orca.cardiff.ac.uk/id/eprint/69090

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