A study of the effects of uncertainties when calculating the singular value decomposition of a polynomial matrix

Foster, J. A., McWhirter, John ORCID: https://orcid.org/0000-0003-1810-3318, Davies, M. R. and Chambers, J. A. 2010. A study of the effects of uncertainties when calculating the singular value decomposition of a polynomial matrix. Presented at: IEEE International Conference on Acoustics, Speech, and Signal Processing, Dallas, Texas, USA, 14-19 March 2010. Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference (Dallas, USA). Piscataway, NJ: IEEE, pp. 4118-4121. 10.1109/ICASSP.2010.5495728

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Abstract

An algorithm has been recently proposed by the authors for calculating a polynomial matrix singular value decomposition (SVD) based upon polynomial matrix QR decomposition. In this work we examine how this method compares to a previously proposed method of formulating this decomposition. In particular, the performance of the two methods is examined when each is used as part of a broadband multiple-input multiple-output (MIMO) communication system by means of average bit error rate simulations. These results confirm a clear advantage of using the new polynomial matrix SVD method over the existing technique. This paper also discusses the possible errors that are encountered when formulating the SVD of a polynomial matrix and investigates how these errors affect the error rate performance of both SVD methods within the proposed application.

Item Type:	Conference or Workshop Item (Paper)
Status:	Published
Schools:	Schools > Engineering
Publisher:	IEEE
ISBN:	9781424442959
Last Modified:	18 Oct 2022 14:08
URI:	https://orca.cardiff.ac.uk/id/eprint/16593

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