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https://services.math.duke.edu/~ingrid/publications/cpam41-1988.pdf
Orthonormal Bases of Compactly Supported Wavelets INGRID DAUBECHIES A T&T Bell Laboratories Abstract We construct orthonormal bases of compactly supported wavelets, with arbitrarily high regular- ity. The order of regularity increases linearly with the support width.
https://www.mathworks.com/help/wavelet/gs/choose-a-wavelet.html
The number of vanishing moments also affects the support of a wavelet. Daubechies proved that a wavelet with N vanishing moments must have a support of at least length 2N-1. Regularity. Regularity is related to how many continuous derivatives a function has. Intuitively, regularity can be considered a measure of smoothness. ...
https://www.mathworks.com/help/wavelet/ref/dbaux.html
This example demonstrates that for a given support, the cumulative sum of the squared coefficients of a scaling filter increase more rapidly for an extremal phase wavelet than other wavelets. First, set the order to 15 and generate the scaling filter coefficients for the Daubechies wavelet and Symlet. Both wavelets have support of length 29.
https://it.mathworks.com/help/wavelet/ref/dbaux.html
This example demonstrates that for a given support, the cumulative sum of the squared coefficients of a scaling filter increase more rapidly for an extremal phase wavelet than other wavelets. First, set the order to 15 and generate the scaling filter coefficients for the Daubechies wavelet and Symlet. Both wavelets have support of length 29.
https://it.mathworks.com/help/wavelet/ref/dbwavf.html
Daubechies wavelet with N vanishing moments, where N is a positive integer in the closed interval [1, 45].
https://www.sciencedirect.com/topics/computer-science/wavelet-family
The regularity of the Daubechies wavelet function ψ(t) increases linearly with its support width, i.e., on the length of FIR filter. However, Daubechies and Lagarias have proven that the maximally fiat solution does not lead to the highest regularity wavelet.
https://www.encyclopediaofmath.org/index.php/Daubechies_wavelets
In 1988, the Belgian mathematician I. Daubechies constructed [a2] a class of wavelet functions,, that satisfy some special properties. First of all, the collection,, is an orthonormal system for fixed. Furthermore, each wavelet is compactly supported (cf. also Function of compact support).
https://es.mathworks.com/help/wavelet/gs/introduction-to-the-wavelet-families.html
Introduction to Wavelet Families. ... The names of the Daubechies family wavelets are written dbN, where N is the order, and db the “surname” of the wavelet. The db1 wavelet, as mentioned above, is the same ... Web browsers do not support MATLAB commands.
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