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.