On the Windowed Fourier Transform and Wavelet Transform of Almost Periodic Functions

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...

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Vydané v:	Applied and computational harmonic analysis Ročník 10; číslo 1; s. 45 - 60
Hlavní autori:	Partington, J.R., Ünalmış, Banu
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 2001
Predmet:	almost periodic function bounded power signal convolution frame generalized harmonic analysis Parseval identity shift-invariant operator wavelet transform windowed Fourier transform almost periodic function bounded power signal windowed Fourier transform wavelet transform convolution shift-invariant operator generalized harmonic analysis Parseval identity frame
ISSN:	1063-5203, 1096-603X
On-line prístup:	Získať plný text
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