Why Daubechies wavelets are so successful
Solymar Ayala Cortez, Laxman Bokati, Aaron A. Velasco, Владик Крейнович · Journal of Intelligent & Fuzzy Systems · 2022
In many applications, including analysis of seismic signals, Daubechies wavelets perform much better than other families of wavelets. In this paper, we provide a possible theoretical explanation for the empirical success of Daubechies wavelets. Specifically, we show that these wavelets are optimal with respect to any optimality criterion that satisfies the natural properties of scale- and shift-invariance.