Daubechies wavelet [SEP] named after
Daubechies wavelet
The Daubechies wavelets, based on the work of Ingrid Daubechies, are a family of orthogonal wavelets defining a discrete wavelet transform and characterized by a maximal number of vanishing moments for some given support. With each wavelet type of this class, there is a scaling function (called the "father wavelet") which generates an orthogonal multiresolution analysis.
Properties.
In general the Daubechies wavelets are chosen to have the highest number "A" of vanishing moments, (this does not imply the best smoothness)
0, and large coefficients are unaltered.
Small coefficients are mostly noises, and large coefficients contain actual signal.
At last, apply the inverse wavelet transform to obtain formula_59
List of wavelets.
List of wavelets Discrete wavelets.
- Beylkin (18)
- BNC wavelets
- Coiflet (6, 12, 18, 24, 30)
- Cohen-Daubechies-Feauveau wavelet (Sometimes referred to as CDF N/P or Daubechies biorthogonal wavelets)
- Daubechies wavelet (2, 4,