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Signal Processing

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  • $\begingroup$ Yes i get this part. and it seems this is what all the papers and articles are saying. but my question is what is W. if W is now some m by nComponents. what its relationship with the origianal signal. are the columns of W also signals? because im not getting this idea of basis or spectral signatures. $\endgroup$ Commented Aug 31, 2022 at 15:35
  • $\begingroup$ Have you gone through the tutorial I linked? $\endgroup$ Commented Aug 31, 2022 at 15:55
  • $\begingroup$ In this context "basis" is a word for the collection of individual parts something is made up of. If NMF is applied to faces, for example, the basis "vectors" (which can be visualized as matrices) may look like this: spsc.tugraz.at/collections/assets/NMFFaces.png. $\endgroup$ Commented Sep 1, 2022 at 21:23
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    $\begingroup$ @Jdip, I think the question is the other way around. You explain why it is reasonable to get such decomposition while I think the question is, among so many options, why does this decomposition is chosen? How come that indeed the matrix in the result matches the time and frequency. This has more to do with the efficiency of the representation. $\endgroup$ Commented May 28, 2023 at 16:56