Can you simulate the "response time" of a lower window size FFT on a higher window size?
That is, is it possible to calculate the equivalent lower window sized FFTs from a higher one in order to iterate over the equivalent e.g. 128 window sized FFTs, but plot the higher one e.g. 8192 samples window size?
This is a problem in e.g. when one is sampling at a higher window size for the FFT, but some signal parts (e.g. strong amplitude peaks in audio) appear at a faster pace and are thus "missed" by the FFT. Or not necessarily the FFT, but any processing that uses that higher window size FFT.
What I therefore need is the visible resolution of a higher window size and the faster response of a lower window size.
My application (in audio) requires me to be able to track frequencies that follow closely to the beats of the audio. If e.g. a drum loop plays at a high bpm, then a 8192 samples FFT might be too slow to be done reading form since it changes slower than the drum loop's frequencies.