Capítulo de Libro

Data approximation with time-frequency invariant systems

Título del libro: Landscapes of time-frequency analysis

Barbieri, David; Cabrelli, CarlosIcon ; Hernandez, Eugenio; Molter, Ursula MariaIcon
Fecha de publicación: 2020
Editorial: Birkhauser Verlag Ag
e-ISSN: 2296-5017
Idioma: Inglés
Clasificación temática:

Resumen

In this paper we prove the existence of a time-frequency space that best approximates a given finite set of data. Here best approximation is in the least square sense, among all time-frequency spaces with no more than a prescribed number of generators. We provide a formula to construct the generators from the data and give the exact error of approximation. The setting is in the space of square integrable functions defined on a second countable LCA group and we use the Zak transform as the main tool.
Palabras clave: TIME-FREQUENCY SPACE , ECKART–YOUNG THEOREM , LCA GROUPS , ZAK TRANSFORM
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/156402
URL: https://link.springer.com/chapter/10.1007/978-3-030-56005-8_2
DOI: http://dx.doi.org/10.1007/978-3-030-56005-8_2
URL: https://arxiv.org/abs/2001.08518
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Citación
Barbieri, David; Cabrelli, Carlos; Hernandez, Eugenio; Molter, Ursula Maria; Data approximation with time-frequency invariant systems; Birkhauser Verlag Ag; 2; 2020; 29-42
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