bior 3.5 wavelet filter

21 visualizzazioni (ultimi 30 giorni)
Diyar Aldusky
Diyar Aldusky il 23 Giu 2012
i want to know some detail about ( bior 3.5) ... filter and why it is named 3.5 ??

Risposte (2)

Wayne King
Wayne King il 24 Giu 2012
As Walter states those are the number of vanishing moments for the scaling and wavelet filters for both the reconstruction (synthesis) filters -- the first number (3 here) and the decomposition (analysis) filters -- the second number (5 here).
If you have the Signal Processing Toolbox in addition to the wavelet toolbox you can see this by looking at the zeros of the lowpass filters at pi (-1+j0)
[LO_D,HI_D,LO_R,HI_R] = wfilters('bior3.5');
zplane(LO_D); % 5 zeros at -1+j0
zplane(LO_R); % 3 zeros at -1+j0
A wavelet filter with N vanishing moments is orthogonal to polynomials of up to degree N-1. So using the bior3.5 filter will "kill" polynomials up to degree 4 in the decomposition. If the signal is approximated well locally by a polynomial up to order 4, then the wavelet coefficients obtained with the bior3.5 filter will be small.
On the other hand, the fewer vanishing moments used in the reconstruction will result a better result because it is smoother than the wavelet used in the decomposition.
This is a decided advantage of biorthogonal wavelets over orthogonal. In the biorthogonal case, you have the ability to use a wavelet with greater vanishing moments at the decomposition, and a smoother wavelet for the reconstruction (any errors introduced will be smooth errors).

Walter Roberson
Walter Roberson il 23 Giu 2012
Biorthogonal wavelet with 3 and 5 vanishing moments.

Categorie

Scopri di più su Filter Banks in Help Center e File Exchange

Tag

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by