How to Find the B Matrix in Matlab for Wavelet Basis Functions?

[sachin_ruk]

Hi all,

Say that I have a 1D signal such that f=Bw where f is the signal B is the basis functions and w is the wave co-efficients. The question that I have is how do I find the B matrix in Matlab.

I am looking through WaveLab and Rice Wavelet packages but simply cannot find an answer. As for the type of wavelet, for the moment I'm not too worried. Note that I am not concerned about trying to find w by using wavedec or similar functions in Matlab. Simply want some sort of a Basis Matrix that will allow me to compress a generic signal.

Thanks,
Sachin

 

[boneh3ad]

Look into proper orthogonal decomposition. There are some good papers/resources out there that can guide you.

Hopefully I didn't misinterpret your question.

 

[sachin_ruk]

Hey thanks for the reply. I don't mean to be a bother, but were you talking about wavelets in particular or general orthogonal decompositions. If you were could you tell me what exactly to google, or maybe a paper that you would recommend?

Thanks,
Sachin