The orthogonal interpolating balanced multiwavelet with rational coefficients

Rui Li and Guochang Wu

Chaos, Solitons & Fractals, 2009, vol. 41, issue 2, 892-899

Abstract: In this paper, we construct the orthogonal interpolating multiwavelet of multiplicity r=4 with the balancing property of order 1 and with rational coefficients. At first, we introduce the notations of multiwavelet, interpolating and balancing. Secondly, for an orthogonal multiwavelet of multiplicity r=4 having totally interpolating property, we deduce that the corresponding filter of the orthogonal multiscaling function with totally interpolating property has the parametric expression. Then, similarly to r=2, we prove that there no exists any interpolating orthogonal multiwavelet with the symmetry. At last, we construct some examples of the orthogonal multiwavelets of multiplicity r=4 with totally interpolating property and the balancing property of order 1 by the parametric way.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:2:p:892-899

DOI: 10.1016/j.chaos.2008.04.019

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