Help:Battle-Lemarie Wavelets

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2 total messages Started by Strange Attractor Fri, 24 Jul 1992 22:33

#140

Author: Strange Attractor
Date: Fri, 24 Jul 1992 22:33

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I have been trying to generate the Battle-Lemarie wavelet and scaling functions
I have had some problems in implementing the algorithm given in Mallat's
paper in that I do not get enough points in the basic scaling function
phi(0,0).  When I dilate this function, I am not able to evaluate the dilated 
function wherever I like because of the lack of points. 

While implementing an alternative algorithm given in Daubechies' book ( spline
scaling function to Battle-Lemarie scaling function via "orthonormalization
trick") I get sufficient points but the spectrum is not coming out right.

I would appreciate any hints on generating the basic wavelet and scaling
functions in the Battle-Lemarie case. Please e-mail or post replies.

Ravikanth Pappu
EE Dept, Villanova University.

Re: Help: Battle-Lemarie Wavelets

#142

Author: Arnold Gill
Date: Sat, 25 Jul 1992 18:52

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pappu@vu-vlsi.vill.edu (Strange Attractor) writes:

>I have been trying to generate the Battle-Lemarie wavelet and scaling functions
>I have had some problems in implementing the algorithm given in Mallat's
>paper in that I do not get enough points in the basic scaling function
>phi(0,0).  When I dilate this function, I am not able to evaluate the dilated 
>function wherever I like because of the lack of points. 

     I think this may be a generic problem whenever you use a discrete wavelet
     rather than a continuous one.  Eventually, your wavelet becomes too big 
     for the data and there just aren't enough points left.  If you have a
     continuous function describing the wavelet, you can always add in the 
     missing pieces.

     By the way, don't you just use the same number of coefficients, but
     sample the data stream at larger intervals when dilating the wavelet?

--
Arnold Gill --- astrophysician trainee in exile             gill@physics.ubc.ca

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