Wavelet Families and Associated Properties — I

Property	morl	mexh	meyr	haar	dbN	symN	coifN	biorNr.Nd
Crude	■	■
Infinitely regular	■	■	■
Arbitrary regularity					■	■	■	■
Compactly supported orthogonal				■	■	■	■
Compactly supported biorthogonal								■
Symmetry	■	■	■	■				■
Asymmetry					■
Near symmetry						■	■
Arbitrary number of vanishing moments					■	■	■	■
Vanishing moments for φ							■
Existence of φ			■	■	■	■	■	■
Orthogonal analysis			■	■	■	■	■
Biorthogonal analysis			■	■	■	■	■	■
Exact reconstruction	≈	■	■	■	■	■	■	■
FIR filters				■	■	■	■	■
Continuous transform	■	■	■	■	■	■	■	■
Discrete transform				■	■	■	■	■
Fast algorithm				■	■	■	■	■
Explicit expression	■	■		■				For splines

Crude wavelet — A wavelet is said to be crude when satisfying only the admissibility condition.

Regularity — See General Considerations in Choose a Wavelet.

Orthogonal — See General Considerations in Choose a Wavelet.

Biorthogonal — See Biorthogonal Wavelet Pairs: biorNr.Nd.

Vanishing moments —See General Considerations in Choose a Wavelet.

Exact reconstruction — See Reconstruction Filters in the Wavelet Toolbox Getting Started Guide.

Continuous — See Continuous and Discrete Wavelet Transforms in the Wavelet Toolbox Getting Started Guide.

Discrete — See Critically-Sampled Discrete Wavelet Transform in the Wavelet Toolbox Getting Started Guide.