wavelet components

["Saikat Ray Majumder" <saikatr2@.........>]

Hi,

I am using the wavelet transforms in the GSL library and would like to
obtain the coefficients for a particular scale.

Say, for example, my input data vector has 2^16 data points, i.e. n = 2^16.
This would imply that there will be the following levels in the transform, J
= {0, 1, 2, 3, ....., 15}. My first question is if these levels correspond
to the following scales, a = {2^0, 2^1, 2^2, ...., 2^15}?

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?

I'll really appreciate if somebody could tell if I am understanding this
correctly or if I am missing something?

Thanks in advance for your time,

best,
SRM