Construction of Real-Valued Wavelets by Symmetry

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

13 Scopus Citations
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Author(s)

  • D. X. Zhou

Detail(s)

Original languageEnglish
Pages (from-to)323-331
Journal / PublicationJournal of Approximation Theory
Volume81
Issue number3
Publication statusPublished - Jun 1995
Externally publishedYes

Abstract

A construction of orthogonal wavelet bases in L2(Rd) from a multiresolution analysis is given when the scaling function is skew-symmetric about an integer point. These wavelets are real-valued when the scaling function is real-valued. As an application, orthogonal wavelets generated by polyharmonic B-splines are obtained. We also present an example to show that the center of a skew-symmetric scaling function may not be in Zd/2. © 1995 Academic Press. All rights reserved.

Citation Format(s)

Construction of Real-Valued Wavelets by Symmetry. / Zhou, D. X.
In: Journal of Approximation Theory, Vol. 81, No. 3, 06.1995, p. 323-331.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review