Perturbation of wavelet and Gabor frames

Autor:	Ivana Carrizo, Sergio Favier
Rok vydání:	2003
Předmět:	Discrete wavelet transform Wavelet Applied Mathematics Stationary wavelet transform Gabor wavelet Mathematical analysis Wavelet transform Gabor–Wigner transform Gabor transform Algorithm Analysis Mathematics Wavelet packet decomposition
Zdroj:	Analysis in Theory and Applications. 19:238-254
ISSN:	1573-8175 1672-4070
DOI:	10.1007/bf02835283
Popis:	In this work two aspects of theory of frames are presented: a side necessary condition on irregular wavelet frames is obtained, another perturbation of wavelet and Gabor frames is considered. Specifically, we present the results obtained on frame stability when one disturbs the mother of wavelet frame, or the parameter of dilatation, and in Gabor frames when the generating function or the parameter of translation are perturbed. In all cases we work without demanding compactness of the support, neither on the generating function, nor on its Fourier transform.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e87ead31ea593a814c1401cec13b9acf https://doi.org/10.1007/bf02835283 Zobrazit plný text záznamu Full text from SpringerLink