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

✍ Scribed by J.R. Partington; Banu Ünalmış

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
118 KB
Volume
10
Category
Article
ISSN
1063-5203

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✦ Synopsis

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.

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