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# Generalized Daubechies Wavelet Families

@article{Vonesch2007GeneralizedDW, title={Generalized Daubechies Wavelet Families}, author={C{\'e}dric Vonesch and Thierry Blu and Michael Unser}, journal={IEEE Transactions on Signal Processing}, year={2007}, volume={55}, pages={4415-4429} }

- Published 2007 in IEEE Transactions on Signal Processing
DOI:10.1109/TSP.2007.896255

We present a generalization of the orthonormal Daubechies wavelets and of their related biorthogonal flavors (Cohen-Daubechies-Feauveau, 9/7). Our fundamental constraint is that the scaling functions should reproduce a predefined set of exponential polynomials. This allows one to tune the corresponding wavelet transform to a specific class of signals, thereby ensuring good approximation and sparsity properties. The main difference with the classical construction of Daubechies is that the… CONTINUE READING

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