Parameterizations for complex Daubechies wavelets

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.
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