APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, cilt.10, sa.1, ss.45-60, 2001 (SCI-Expanded)
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.