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Construction of Real-Valued Wavelets by Symmetry

✍ Scribed by D.X. Zhou

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
259 KB
Volume
81
Category
Article
ISSN
0021-9045

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✦ Synopsis

A construction of orthogonal wavelet bases in (L_{2}\left(R^{d}\right)) 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 (Z^{d} / 2). 1995 Academic Press. Inc.

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