Orthogonal and Biorthogonal Filter Banks

Daubechies’ extremal-phase wavelets, Daubechies’ least-asymmetric wavelets, Fejer-Korovkin filters, coiflets, biorthogonal spline filters

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

`wavemngr`	Wavelet manager
`waveinfo`	Wavelets information

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.