Parametrization of matrix-valued lossless functions based on boundary interpolation

Ralf L.M. Peeters 1 Martine Olivi 2 Bernard Hanzon 3
1 Dept. Mathematics [Maastricht]
2 APICS - Analysis and Problems of Inverse type in Control and Signal processing
CRISAM - Inria Sophia Antipolis - Méditerranée
3 School of Mathematical Sciences [Cork]
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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Communication dans un congrès
MTNS- 19th International Symposium on Mathematical Theory of Networks and Systems - 2010, Jul 2010, Budapest, Hungary. 2010
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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. 2010. 〈hal-00788395〉

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