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An Algorithm for Computing the QR Decomposition of a Polynomial Matrix

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3 Author(s)
Foster, J. ; Cardiff Univ., Cardiff ; McWhirter, J. ; Chambers, J.

This paper introduces an algorithm for computing a QR decomposition of a polynomial matrix. The algorithm proceeds to perform the decomposition by following the same strategy in eliminating entries of the matrix as is used in the Givens method for a QR decomposition of a scalar matrix. However scalar Givens rotation matrices can no longer be applied. Instead, a polynomial Givens rotation is introduced, enabling the QR decomposition of a polynomial matrix. Convergence of the algorithm is discussed and through simulations the capability of the algorithm is assessed.

Published in:

Digital Signal Processing, 2007 15th International Conference on

Date of Conference:

1-4 July 2007

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