Constructing Wavelets from Generalized Filters
نویسنده
چکیده
Over the past twenty years, wavelets have gained popularity as bases for transforms used in image and signal processing. We begin by showing how wavelets arise naturally in this context. Classical construction techniques using Fourier analysis are then presented. The paper concludes with recent extensions of these techniques employing the tools of abstract harmonic analysis and spectral multiplicity theory.
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