Construction of wavelet bases that mimic the behaviour of some given operator - art. no. 67010S

Probably, the most important property of wavelets for signal processing is their multiscale derivative-like behavior when applied to functions. In order to extend the class of problems that can profit of wavelet-based techniques, we propose to build new families of wavelets that behave like an arbitrary scale-covariant operator. Our extension is general and includes many known wavelet bases. At the same time, the method takes advantage a fast filterbank decomposition-reconstruction algorithm. We give necessary conditions for the scale-covariant operator to admit our wavelet construction, and we provide examples of new wavelets that can be obtained with our method.


Published in:
Wavelets Xii, Pts 1 And 2, 6701, S7010-S7010
Presented at:
Conference on Wavelets XII, San Diego, CA, Aug 26-29, 2007
Year:
2007
Publisher:
Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa
ISBN:
978-0-8194-6849-9
Keywords:
Laboratories:




 Record created 2012-07-04, last modified 2018-03-17


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