Abstract
In this note, the notion of the notion of tight wavelet frames is introduced. We demonstrate that there exist wavelet frame generated by two functions which have good dual wavelet frames, but for which the canonical dual wavelet frame does not consist of wavelets, according to scaling functions. That is to say, the canonical dual wavelet frame cannot be generated by the translations and dilations of a single function wraps.
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© 2011 Springer-Verlag Berlin Heidelberg
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Kong, Y., Wang, B. (2011). Construction of Finitely Supported Tight Wavelet Frames with Two Generators. In: Jin, D., Lin, S. (eds) Advances in Computer Science, Intelligent System and Environment. Advances in Intelligent and Soft Computing, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23756-0_47
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DOI: https://doi.org/10.1007/978-3-642-23756-0_47
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23755-3
Online ISBN: 978-3-642-23756-0
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