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Title: A novel algorithm for calculating the QR decomposition of a polynomial matrix
Authors: Foster, Joanne
Chambers, Jonathon
McWhirter, John
Keywords: Paraunitary matrix
Polynomial matrix QR decomposition
Broadband MIMO channel equalisation
Issue Date: 2009
Publisher: © IEEE
Citation: FOSTER, J., CHAMBERS, J. and MCWHIRTER, J., 2009. A novel algorithm for calculating the QR decomposition of a polynomial matrix. IN: IEEE International Conference Acoustics, Speech and Signal Processing ICASSP, pp. 3177-3180.
Abstract: A novel algorithm for calculating the QR decomposition (QRD) of polynomial matrix is proposed. The algorithm operates by applying a series of polynomial Givens rotations to transform a polynomial matrix into an upper-triangular polynomial matrix and, therefore, amounts to a generalisation of the conventional Givens method for formulating the QRD of a scalar matrix. A simple example is given to demonstrate the algorithm, but also illustrates two clear advantages of this algorithm when compared to an existing method for formulating the decomposition. Firstly, it does not demonstrate the same unstable behaviour that is sometimes observed with the existing algorithm and secondly, it typically requires less iterations to converge. The potential application of the decomposition is highlighted in terms of broadband multi-input multi-output (MIMO) channel equalisation.
Description: This is a conference paper [© IEEE]. It is also available at: http://ieeexplore.ieee.org/ Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Version: Not specified
DOI: 10.1109/ICASSP.2009.4960299
URI: https://dspace.lboro.ac.uk/2134/5873
ISBN: 9781424423545
Appears in Collections:Conference Papers and Presentations (Mechanical, Electrical and Manufacturing Engineering)

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