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The orthogonal interpolating balanced multiwavelet with rational coefficients

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  • Li, Rui
  • Wu, Guochang

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.

Suggested Citation

  • Li, Rui & Wu, Guochang, 2009. "The orthogonal interpolating balanced multiwavelet with rational coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 892-899.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:892-899
    DOI: 10.1016/j.chaos.2008.04.019
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    1. El Naschie, M.S., 2006. "Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 39-42.
    2. El Naschie, M.S., 2005. "A guide to the mathematics of E-infinity Cantorian spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 955-964.
    3. El Naschie, M.S., 2006. "Hilbert space, the number of Higgs particles and the quantum two-slit experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 9-13.
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