INVESTIGADORES
MOLTER ursula Maria
capítulos de libros
Título:
Data approximation with time-frequency invariant systems
Autor/es:
BARBIERI, DAVIDE; CABRELLI, CARLOS A.; HERNÁNDEZ, EUGENIO; MOLTER, URSULA M.
Libro:
Landscapes of Time-Frequency Analysis
Editorial:
Birkhaeuser
Referencias:
Lugar: Basel; Año: 2020; p. 29 - 42
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.
