Parameterizations for complex Daubechies wavelets

Jean-Marc Lina; Michel Mayrand

doi:10.1117/12.170087

15 March 1994 Parameterizations for complex Daubechies wavelets

Jean-Marc Lina, Michel Mayrand

Proceedings Volume 2242, Wavelet Applications; (1994) https://doi.org/10.1117/12.170087
Event: SPIE's International Symposium on Optical Engineering and Photonics in Aerospace Sensing, 1994, Orlando, FL, United States

Abstract

Two parametrizations are presented for the Daubechies wavelets. The first one is based on the correspondence between the set of multiresolution analyses with compact support orthonormal basis and a group developed by Pollen. In the second parametrization, emphasis is put on the regularity conditions of the Daubechies wavelets. The orthonormality conditions characterizing the Daubechies wavelets are solved and general complex solutions are described.

Citation Download Citation

Jean-Marc Lina and Michel Mayrand "Parameterizations for complex Daubechies wavelets", Proc. SPIE 2242, Wavelet Applications, (15 March 1994); https://doi.org/10.1117/12.170087

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