On the windowed Fourier transform and wavelet transform of almost periodic functions


Partington J., Unalmis B.

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, vol.10, no.1, pp.45-60, 2001 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 1
  • Publication Date: 2001
  • Doi Number: 10.1006/acha.2000.0326
  • Title of Journal : APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
  • Page Numbers: pp.45-60

Abstract

We present the windowed Fourier transform and wavelet transform as tools for analyzing persistent signals, such as bounded power signals and almost periodic functions. We establish the analogous Parseval-type identities. We consider discretized versions of these transforms and construct generalized frame decompositions. Finally, we bring out some relations with shift-invariant operators and linear systems. (C) 2001 Academic Press.