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. Daubechies’ least-asymmetric filters have the most linear phase response of the orthogonal filters. If you require linear phase, use biorthogonal filters.
Functions
dwtfilterbank | Discrete wavelet transform filter bank |
biorwavf | Biorthogonal spline wavelet filter |
biorfilt | Biorthogonal wavelet filter set |
coifwavf | Coiflet wavelet filter |
dtfilters | Analysis and synthesis filters for oversampled wavelet filter banks |
dbaux | Daubechies wavelet filter computation |
dbwavf | Daubechies wavelet filter |
fejerkorovkin | Fejér-Korovkin wavelet filters |
orthfilt | Orthogonal wavelet filters |
rbiowavf | Reverse biorthogonal spline wavelet filters |
qmf | Scaling and wavelet filter |
symaux | Symlet wavelet filter computation |
symwavf | Symlet wavelet filter |
wavefun | Wavelet and scaling functions |
wavefun2 | Wavelet and scaling functions 2-D |
wfilters | Wavelet filters |
Apps
Wavelet Analyzer | Analyze signals and images using wavelets |
Topics
- Choose a Wavelet
Learn criteria for choosing the right wavelet for your application.
- Critically-Sampled Wavelet Reconstruction
Understand how to reconstruct signals from wavelet transformed data.
- 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™.
- Scaling Function and Wavelet
Show how the number of vanishing moments affects smoothness biorthogonal filter pair.