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On Dual Wavelet Tight Frames

✍ Scribed by Bin Han

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
489 KB
Volume
4
Category
Article
ISSN
1063-5203

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✦ Synopsis

A characterization of multivariate dual wavelet tight frames for any general dilation matrix is presented in this paper. As an application, Lawton's result on wavelet tight frames in L 2 ‫)ή’(‬ is generalized to the n-dimensional case. Two ways of constructing certain dual wavelet tight frames in L 2 ‫ޒ(‬ n ) are suggested. Finally, examples of smooth wavelet tight frames in L 2 ‫)ή’(‬ and H 2 ‫)ή’(‬ are provided. In particular, an example is given to demonstrate that there is a function c whose Fourier transform is positive, compactly supported, and infinitely differentiable which generates a non-MRA wavelet tight frame in H 2 ‫.

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