Model space results for the Gabor and wavelet transforms

Gerard Ascensi, Joaquim Bruna

Research output: Contribution to journalArticleResearchpeer-review

27 Citations (Scopus)

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. © 2009 IEEE.
Original languageEnglish
Pages (from-to)2250-2259
JournalIEEE Transactions on Information Theory
Volume55
Issue number5
DOIs
Publication statusPublished - 27 May 2009

Keywords

  • Continuous transform
  • Frames
  • Gabor system
  • Sampling sets
  • Wavelets

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