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Signal Processing

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  • $\begingroup$ Have you ruled out using a time domain derivative estimator? $\endgroup$
    – Dan Boschen
    Commented Feb 23, 2023 at 15:59
  • $\begingroup$ @DanBoschen, no I haven't. I'm specifically investigating STFT. $\endgroup$
    – Zeno San
    Commented Feb 23, 2023 at 16:34
  • $\begingroup$ Why are you investigating STFT? I think the STFT is a poor method for this type of thing mainly because of the time/frequency uncertainty and the whacky way transients are represented in the phase of the STFT. Hence I'm guessing it will be hard to find a mathematical justification for something that's unlikely to work well in the first place. $\endgroup$
    – Hilmar
    Commented Feb 23, 2023 at 18:41
  • $\begingroup$ @Hilmar, I'm investigating because I'm interested in it, and what is the justification for this 'unlikeliness' and 'poor' attribution? I can see STFT working pretty well, see Fig.2.1, Chapter 2 and Fig 3.1, 3.3, 3.4 Chapter 3, of the book I mentioned above, and I'm sure there will be some mathematical justification as the mathematical theory (even for tempered distributions) is very well developed. $\endgroup$
    – Zeno San
    Commented Feb 24, 2023 at 5:08