DocumentCode
750009
Title
Model Space Results for the Gabor and Wavelet Transforms
Author
Ascensi, Gerard ; Bruna, Joaquim
Author_Institution
Fac. of Math., Univ. of Vienna, Vienna
Volume
55
Issue
5
fYear
2009
fDate
5/1/2009 12:00:00 AM
Firstpage
2250
Lastpage
2259
Abstract
We prove that the unique Gabor window leading to an analytic model space is the Gaussian one, and we give an analogous result for the wavelet transform. For the general case we give a new approach to study irregular Gabor and wavelet frames. We improve some known results for Gabor windows in the Feichtinger algebra, and for a special class of wavelets.
Keywords
algebra; wavelet transforms; Feichtinger algebra; space model; unique Gabor window; wavelet transforms; Algebra; Continuous wavelet transforms; Harmonic analysis; Mathematics; Particle measurements; Sampling methods; Signal analysis; Time frequency analysis; Wavelet analysis; Wavelet transforms; Continuous transform; Gabor system; frames; sampling sets; wavelets;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2009.2016028
Filename
4839036
Link To Document