Complex Dyadic Multiresolution Analyses

This chapter presents the construction and some properties of the symmetric Daubechies wavelets. This class of solutions is part of the set of complexvalued solutions of the Daubechies’ program: orthonormal bases of L2 built from compactly supported wavelets with maximum regularity. We review some algorithms that take explicit advantage of the presence of phase in the complex representation of signals by the symmetric Daubechies wavelets. Applications for two-dimensional (2-D) signals are discussed.

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