[hal-00788395, v1] Parametrization of matrix-valued lossless functions based on boundary interpolation
نویسندگان
چکیده
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.
منابع مشابه
On boundary interpolation for matrix valued Schur functions
A number of interpolation problems are considered in the Schur class of p × q matrix valued functions S that are analytic and contractive in the open unit disk. The interpolation constraints are specified in terms of nontangential limits and angular derivatives at one or more (of a finite number of) boundary points. Necessary and sufficient conditions for existence of solutions to these problem...
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