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


Partington J., Unalmis B.

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, cilt.10, ss.45-60, 2001 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 10 Konu: 1
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1006/acha.2000.0326
  • Dergi Adı: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
  • Sayfa Sayıları: ss.45-60

Özet

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.