Daubechies wavelet
= Daubechies wavelet
{c}
{wiki}
A Daubechies wavelet of order $q$ is a <compact support> <orthonormal wavelet> with $q$ <vanishing moments> and a minimal-length finite refinement filter. The minimal filter has $2q$ taps, giving support length $2q-1$ in the standard dyadic normalization. Its low-pass symbol has a zero of order $q$ at $\pi$. Increasing order improves polynomial cancellation and, for sufficiently large order, regularity, at the price of a wider support.