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Toeplitz-Vandermonde matrix factorization with application to parameter estimation of Wiener-Hammerstein systems

Abstract : In this letter, we present an algorithm for computing the factors of a matrix bilinear decomposition when the factors are constrained to have a Toeplitz and a Vandermonde structure. The proposed algorithm is constituted by a set of recurrence relations derived when the matrix to be decomposed has at least three columns. This algorithm is then used for estimating nondiagonal coefficients of Volterra kernels associated with a Wiener-Hammerstein system
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https://hal.archives-ouvertes.fr/hal-00417634
Contributor : Thomas Bouilloc <>
Submitted on : Wednesday, September 16, 2009 - 2:30:24 PM
Last modification on : Tuesday, May 26, 2020 - 6:50:34 PM

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Alain Y. Kibangou, Gérard Favier. Toeplitz-Vandermonde matrix factorization with application to parameter estimation of Wiener-Hammerstein systems. IEEE Signal Processing Letters, Institute of Electrical and Electronics Engineers, 2007, 14 (2), pp.141-144. ⟨10.1109/LSP.2006.882101⟩. ⟨hal-00417634⟩

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