I was very excited by the new ShorftTimeFFT class, and am beginning to introduce it into my workflow. My team is interested in audio simulation and source waveform reconstruction from microphone arrays, and the inverse STFT functionality is a big draw to the new class.
Our first use case is an integrator and differentiator. We implement this with a forward/inverse stft pair, and the frequency domain calculus definitions. We were surprised that the choice of window changes the derivative result in particular, at a -50 dB level. Unexpectedly, it seems that lower order windows work much better than higher order. For example, the hann window computes a better inverse stft than the nuttall window. We would like to get a better sense of why and get better insight into this new class. The ShortTImeFFT example uses a Gaussian window, which is an unusual window choice in my experience. Is there a good reference that can guide the selection of a window with the application of an inverse stft in mind? Thank you, Ned Richards
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