Construction of Orthogonal Wavelets Using Fractal Interpolation Functions

Fractal interpolation functions are used to construct a compactly supported continuous, orthogonal wavelet basis spanning $L^2 (\mathbb{R})$. The wavelets share many of the properties normally associated with spline wavelets, in particular, they have linear phase.

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Bibliographic Details
Published in:SIAM journal on mathematical analysis 1996-07, Vol.27 (4), p.1158-1192
Main Authors: Donovan, George C., Geronimo, Jeffrey S., Hardin, Douglas P., Massopust, Peter R.
Format: Article
Language:English
Subjects:
Applied mathematics
Fourier transforms
Fractals
Investigations
Mathematical functions
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Description
Summary:Fractal interpolation functions are used to construct a compactly supported continuous, orthogonal wavelet basis spanning $L^2 (\mathbb{R})$. The wavelets share many of the properties normally associated with spline wavelets, in particular, they have linear phase.
ISSN:0036-1410
1095-7154
DOI:10.1137/S0036141093256526