bior 3.5 wavelet filter

조회 수: 18 (최근 30일)
Diyar Aldusky
Diyar Aldusky 2012년 6월 23일
i want to know some detail about ( bior 3.5) ... filter and why it is named 3.5 ??

답변 (2개)

Wayne King
Wayne King 2012년 6월 24일
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 2012년 6월 23일
Biorthogonal wavelet with 3 and 5 vanishing moments.

카테고리

Help CenterFile Exchange에서 Filter Banks에 대해 자세히 알아보기

태그

Community Treasure Hunt

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

Start Hunting!

Translated by