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   -> Volume 6, Issue 10

Preprint: Periodic Cardinal Interpolatory Wavelets
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Steven Xiao (

PostPosted: Mon Sep 08, 1997 3:50 pm    
Subject: Preprint: Periodic Cardinal Interpolatory Wavelets
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#1 Preprint: Periodic Cardinal Interpolatory Wavelets

Title: Periodic Cardinal Interpolatory Wavelets

Han-Lin Chen & Shaoliang Xiao

Abstract: In this paper, we construct periodic interpolating wavelets
and their duals from a periodic function $g(x)$ whose Fourier
coefficients are positive. The corresponding decomposition and
reconstruction algorithm is also given. The spline example shows that
such kind of wavelets shares good localization with any desired
regularity and symmetry. Our construction depends essentially on the
finite Fourier Transformation and the theory of circulant matrix.
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