Orthogonal and Biorthogonal Filter Banks
Orthogonal wavelet filter banks generate a single scaling function and wavelet, whereas biorthogonal wavelet filters generate one scaling function and wavelet for decomposition, and another pair for reconstruction. The orthogonal and biorthogonal wavelet filter banks are all suitable for N-D discrete wavelet and wavelet packet analysis. Daubechies’ least-asymmetric filters have the most linear phase response of the orthogonal filters. If you require linear phase, use biorthogonal filters. To learn about the wavelets available in Wavelet Toolbox™ that are suitable for continuous wavelet analysis, see Choisir une ondelette.
Fonctions
Rubriques
- Choisir une ondelette
Découvrir les critères permettant de choisir l'ondelette adaptée à votre application.
- Reconstruction par ondelettes à échantillonnage critique
Comprendre comment reconstruire des signaux à partir de données transformées par ondelettes.
- Add Quadrature Mirror and Biorthogonal Wavelet Filters
This example shows how to add an orthogonal quadrature mirror filter (QMF) pair and biorthogonal wavelet filter quadruple to Wavelet Toolbox™.
- Construct Perfect Reconstruction Biorthogonal Filter Bank
Take an expression of a biorthogonal wavelet filter pair and create a perfect reconstruction biorthogonal wavelet filter bank.
- Scaling Function and Wavelet
Show how the number of vanishing moments affects smoothness biorthogonal filter pair.