No matter how you go about this, the the Fast Fourier will in almost every case act as some sort of ensemble measurement over it's length, and maybe do some filtering between consecutive transform steps. Maybe you even continuously average in the frequency domain, using per sample sliding FFT frames, even then you're measuring which "bins" of the FFT respond to the samples in you signal, not more and not less.
Usually if the math/algebra doesn't proof anything conclusive, no high spun expectations about the mathematical relevance of the result is in order... T.V. _______________________________________________ dupswapdrop: music-dsp mailing list music-dsp@music.columbia.edu https://lists.columbia.edu/mailman/listinfo/music-dsp
