inner product with scaling function

Question

$$ \int_0^1 sin(x)\phi(2^jx-k)dx $$ Are there any software that can compute the above integral where $\phi(x)$ is scaling function of db3 (or dbN) family, j scaling parameter and k translation parameter.

Answer 1

PyWavelets Python library is free and its documentation explicitly includes db3 scaling function. I did not dig deeper to find exactly what commands you would use for this particular computation.

And then there is a Signal Processing site where people deal with wavelets a lot more often than here. If you don't get what you need from PyWavelets, they may be able to help.