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

AI Thread Summary
To find the B matrix for wavelet basis functions in Matlab, users are advised to explore proper orthogonal decomposition as a potential solution. Resources and papers on this topic can provide guidance for implementation. The discussion emphasizes that the user is not focused on obtaining wave coefficients but rather on constructing a basis matrix for signal compression. Specific recommendations for wavelet types or Matlab functions were not provided. Overall, the conversation centers on seeking effective methods for basis matrix determination in wavelet analysis.
sachin_ruk
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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
 
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Look into proper orthogonal decomposition. There are some good papers/resources out there that can guide you.

Hopefully I didn't misinterpret your question.
 
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
 

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