So RBJ thinks by himself and drinks by himself from '98 until. Let them know it's real son if it's really real, understandable, self-explainable
On Fri, Mar 20, 2020, 3:47 PM robert bristow-johnson < r...@audioimagination.com> wrote: > > > > On March 20, 2020 2:45 PM STEFFAN DIEDRICHSEN <sdiedrich...@me.com> > wrote: > > > > > > Actually, you can do a window size per bin and an arbitrary spacing of > the frequencies and create a “true” constant Q SDFT. Somehow, it reminds me > on the modal synthesis stuff, which can be used to create weird processing. > > > > yeah. there would be no Cooley-Tukey goin' on here. essentially, it's a > bank of resonant filters. perhaps one could come up with complementary > spectral envelopes in the log(f) scale that would add to 1. but i dunno if > you could get such a sliding window using truncated IIR filters, so the > Fourier Transform of it looks like one of these complementary spectral > envelopes. if it doesn't, adding the results of these will not get you > perfect reconstruction. > > > Regarding Corona: I’m doing home office with a view on my garden. > Vermont is not the worst place to holed in, right? How is the supply with > TP? > > before the crisis onset, we had two 12-roll packages, one hasn't been > opened. i'm not too uncomfortable about provisions. i haven't yet seen > the store yet, but i might this afternoon (that'll be sobering). i need to > buy some booze. > > i live at the mouth of a river into Lake Champlain (44.527966 lat, > -73.270829 long). it's 2-dimensional, but i have a 200 acre natural > waterpark in my back yard. with the snow cover in the watershed melting, > i'll be canoeing in maybe 24 hours or less (and remain within the city > limits of the most populous city in the state.) > > but i am pretty concerned about the present thing and i was around for > cold war, Cuban missile crisis, JFK assassination, 1968 (two > assassinations, burning streets, Chicago DNC), U.S. president forced out of > office mid-term, 911 and this is worrisome. i should have converted my > TIAA-CREF retirement investment from stock to bonds last January. There's > not that much in there, but it looks like the curves of the markets. > > > > > > Steffan > > > > PS.: Did somebody not see the formulas in my post? They were embedded > pdfs made in Grapher. > > > > i edited it out. > > anyway, while i have done this sliding Hann window before, i haven't done > it for a sliding DFT. but i would be excited to see a good implementation > of constant Q filterbank that is very close to perfect reconstruction if > the modification in the frequency domain is null. one could make a Hann > windowed DTFT evaluated at a finite number of arbitrary frequencies. i > just wonder if a sliding Hann window would be best. but, using a truncated > cosine as the impulse response of the TIIR, whatever shape of the window > would have to be a sum of truncated cosines (plus the constant term). but > you could make a nice frequency analyzer of log-spaced, constant-Q, > filterbanks with a bank of truncated IIRs and pre-multiplying the input to > each filter by e^(-j omega n). making them add up to a wire is a harder > problem. > > -- > > r b-j r...@audioimagination.com > > "Imagination is more important than knowledge." > _______________________________________________ > dupswapdrop: music-dsp mailing list > music-dsp@music.columbia.edu > https://lists.columbia.edu/mailman/listinfo/music-dsp
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