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Parametrization of matrix-valued lossless functions based on boundary interpolation

Abstract : This paper is concerned with parametrization issues for rational lossless matrix valued functions. In the same vein as previous works, interpolation theory with metric constraints is used to ensure the lossless property. We consider here boundary interpolation and provide a new parametrization of balanced canonical forms in which the parameters are angular derivatives. We finally investigate the possibility to parametrize orthogonal wavelets with vanishing moments using these results.
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https://hal.inria.fr/hal-00788395
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Submitted on : Thursday, February 14, 2013 - 1:12:16 PM
Last modification on : Monday, June 15, 2020 - 1:38:03 PM
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Ralf L.M. Peeters, Martine Olivi, Bernard Hanzon. Parametrization of matrix-valued lossless functions based on boundary interpolation. MTNS- 19th International Symposium on Mathematical Theory of Networks and Systems - 2010, Jul 2010, Budapest, Hungary. ⟨hal-00788395⟩

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