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Re: [Help-gsl] wavelet components

From: Brian Gough
Subject: Re: [Help-gsl] wavelet components
Date: Mon, 22 Sep 2008 12:51:56 +0100
User-agent: Wanderlust/2.14.0 (Africa) Emacs/22.2 Mule/5.0 (SAKAKI)

At Tue, 16 Sep 2008 14:05:31 -0500,
Saikat Ray Majumder wrote:
> My first question is if these levels correspond to the following
> scales, a = {2^0, 2^1, 2^2, ...., 2^15}?

I'm not an expert on wavelets but I believe this is true, yes.  The
details will depend on the type of wavelet though.

> If yes then if I want to obtain the coeff for 2^3 scale then I
> should keep 8 components in level 3 and if the timing resolution of
> the input is dt then those 8 components of level 3 will be located
> at b = {0, 2^3*dt, 2*2^3*dt, 3*2^3*dt, 4*2^3*dt, ...., 7*2^3*dt},
> right?

If you put basis vectors like (0,0,1,0,0,0,0,0) into the coefficients
at that level of you can transform back to see the input weightings,
which will depend on the type of wavelet.  

Brian Gough

GNU Scientific Library -

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