Diminishing the asymmetry of Daubechies' wavelets

Milos I. Doroslovacki · 2002

The author shows that the asymmetry of Daubechies' scaling functions and wavelets can be diminished using, as a measure of asymmetry for the wavelet generating discrete-time filter, a special second moment of energy distribution in time. The moment is involved in the uncertainty relation for discrete-time signals. The generating filter is chosen such that the moment is minimized. Some other measures of asymmetry are addressed too.>

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