A natural transfer function space for linear discrete time-invariant and scale-invariant systemsReportar como inadecuado




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1 Department of mathematics Israel 2 UPD5 Mathématiques Informatique - Université Paris Descartes - UFR de Mathématiques et Informatique 3 ALIEN - Algebra for Digital Identification and Estimation Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, Polytechnique - X, CNRS - Centre National de la Recherche Scientifique : UMR8146

Abstract : In a previous work, we have defined the scale shift for a discrete-time signal and introduced a family of linear scale-invariant systems in connection with character-automorphic Hardy spaces.
In this paper, we prove a Beurling-Lax theorem for such Hardy spaces of order 2.
We also study an interpolation problem in these spaces, as a first step towards a finite dimensional implementation of a scale invariant system.
Our approach uses a characterization of character-automorphic Hardy spaces of order 2 in terms of classical de Branges Rovnyak spaces.






Autor: Daniel Alpay - Mamadou Mboup -

Fuente: https://hal.archives-ouvertes.fr/





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