Wavelet Families and Associated Properties — II

Property	rbioNr.Nd	gaus	dmey	cgau	cmor	fbsp	shan
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	■		■	■	■	■
Complex valued				■	■	■	■
Complex continuous transform				■	■	■	■
FIR-based approximation			■

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

FIR filters — See Filters Used to Calculate the DWT and IDWT.