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}
}
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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