Thank you for your response, Dietrich. We are currently implementing the differentiation as you suggested: (1) STFT the signal, (2) multiply each slice by j2πf, (3) ISTFT. We are not using a rectangular window, though I can see how it performs. I default to a nuttall for DSP, and its relatively poor performance lead to my question. Is there a way of predicting if an operation does depend on the window? If so, is there a standard practice for selection?
This procedure does show promise. The integration step is much simpler with the STFT than a simple FFT/IFFT. On Sat, Mar 2, 2024 at 1:49 AM Dietrich Brunn <dietrich.br...@web.de> wrote: > Hi Ned, > > it is nice to see that the new STFT functionality is actually being used. > > > Our first use case is an integrator and differentiator. We implement this > > > with a forward/inverse stft pair, and the frequency domain calculus > > > definitions. > > May I ask how you implemented the differentiation in the STFT space? Note > that differentiation *is* window dependent. An ad-hoc approach would be > using a rectangular dual window (utilizing `ShortTimeFFT.from_dual`) and > multiplying the STFT by j2πf. > > Cheers, dietrich > >
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