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.