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Proceedings Paper

Orthogonal multiwavelets with vanishing moments
Author(s): Gilbert Strang; Vasily Strela
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Paper Abstract

A scaling function is the solution to a dilation equation Φ(t) = ΣckΦ(2t-K), in which the coefficients come from a low-pass filter. The coefficients in the wavelet W(t) = ΣdkΦ(2t-k) come from a high-pass filter. When these coefficients are matrices, Φ and W are vectors: there are two or more scaling functions and an equal number of wavelets. Those 'multiwavelets' open new possibilities. They can be shorter, with more vanishing moments, than single wavelets. We determine the conditions to impose on the matrix coefficients ck in the design of multiwavelets, and we construct a new pair of piecewise linear orthogonal wavelets with two vanishing moments.

Paper Details

Date Published: 15 March 1994
PDF: 8 pages
Proc. SPIE 2242, Wavelet Applications, (15 March 1994); doi: 10.1117/12.170013
Show Author Affiliations
Gilbert Strang, Massachusetts Institute of Technology (United States)
Vasily Strela, Massachusetts Institute of Technology (United States)

Published in SPIE Proceedings Vol. 2242:
Wavelet Applications
Harold H. Szu, Editor(s)

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