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

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SUMMARY

The discussion centers on finding the B matrix for wavelet basis functions in MATLAB, specifically for a 1D signal represented as f = Bw, where f is the signal, B is the basis matrix, and w is the wave coefficients. The user, Sachin, is exploring WaveLab and Rice Wavelet packages but is struggling to locate the necessary resources. A suggestion is made to investigate proper orthogonal decomposition as a potential avenue for finding the B matrix.

PREREQUISITES
  • Understanding of wavelet transforms and their applications
  • Familiarity with MATLAB programming and its wavelet toolbox
  • Knowledge of proper orthogonal decomposition techniques
  • Basic concepts of signal processing and matrix operations
NEXT STEPS
  • Research proper orthogonal decomposition methods and their implementation in MATLAB
  • Explore the WaveLab and Rice Wavelet packages for additional resources
  • Learn about constructing wavelet basis functions in MATLAB
  • Investigate academic papers on wavelet basis matrices and their applications in signal compression
USEFUL FOR

This discussion is beneficial for MATLAB users, signal processing engineers, and researchers interested in wavelet analysis and matrix decomposition techniques.

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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