Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-11-04 Thread gm
ok I now I tried a crude and quick multiresolution FFT analysis at log 2 basis and it seems to work. However my partial and transient tracking does not work naymore on the higher bands since there is too much modulation from the windows now, but it seems that in general this is the direction

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-11-04 Thread gm
Maybe you could make the analysis with a filterbank, and do the resynthesis with FFT? Years ago I made such a synth based on "analog" Fourier Transforms, (the signal is modulated and rotated down to 0 Frequency and that frequencies around DC are lowpass filtered depending on the bandwitdh

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-11-04 Thread gm
Am 04.11.2018 um 03:03 schrieb Theo Verelst: It might help to understand why in this case you'd chose for the computation according to a IFFT scheme for synthesis. Is it for complimentary processing steps, efficiency, because you have data that fits the practical method in terms of

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-11-03 Thread Theo Verelst
It's a complicated subject when you fill in all the boundary conditions properly, isn't it? Lots of frequency considerations look a bit alike but aren't mathematically equivalent. The human (and animal I suppose) hearing is very sensitive to a lot of these issues in all kinds of convoluted

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-11-03 Thread gm
as I wrote before, it depends on the phase angle whether or not the amplitudes add up when you add the numbers with opposite phase, and equal amplitude, the amplitudes cancel, with same phase they add up, with pi radians it is sqrt(2), ect, but I made a quick hack test and it doesn't

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-11-03 Thread Ross Bencina
[resending, I think I accidentally replied off-list] On 1/11/2018 5:00 AM, gm wrote: > My question rephrased: > Lets assume a spectrum of size N, can you create a meaningfull spectrum of size N/2 > by simply adding every other bin together? > > Neglecting the artefacts of the forward

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-11-03 Thread robert bristow-johnson
. for a sufficiently small window, it will be a single sinusoid, but the amplitude will vary in adjacent windows. that's my spin on the issue. r b-j Original Message -------- Subject: Re: [music-dsp] two fundamental questions Re: FFT for realti

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-11-03 Thread gm
An I think you can model them simply by adding their phasors/bins/numbers... for opposite angles they will cancel, for the same angle they will be amplified so the model is correct at the center of the window, but it models just an instance in time and spreads this instance in this way

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-11-02 Thread Ross Bencina
On 3/11/2018 3:41 AM, Ethan Fenn wrote: No length of FFT will distinguish between a mixture of these sine waves and a single amplitude-modulated one, because they're mathematically identitical! Specifically: sin(440t) + sin(441t) = 2*cos(0.5t)*sin(440.5t) So the question isn't whether an

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-11-02 Thread Ethan Fenn
> > In any case, most signals are not sums of stationary sinusoids. And since > signals are typically buried in noise, or superimposed on top of each > other, so the problem is not well posed. For two very simple examples: > consider two stable sine waves at 440Hz and 441Hz -- you will need a very

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-10-31 Thread gm
Thanks for your time My question rephrased: Lets assume a spectrum of size N, can you create a meaningfull spectrum of size N/2 by simply adding every other bin together? Neglecting the artefacts of the forward transform, lets say an artificial spectrum (or a spectrum after peak picking

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-10-31 Thread Ross Bencina
Hi, Sorry, late to the party and unable to read the backlog, but: The "FFT^-1" technique that Robert mentions is from a paper by Rodet and Depalle that I can't find right now. It's widely cited in the literature as "FFT^-1" That paper only deals with steady-state sinusoids however. It won't

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-10-30 Thread gm
--- Original Message -------- Subject: [music-dsp] two fundamental questions Re: FFT for realtime synthesis? From: "gm" Date: Tue, October 30, 2018 8:17 pm To: music-dsp@music.columbia.edu --

Re: [music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-10-30 Thread robert bristow-johnson
Original Message Subject: [music-dsp] two fundamental questions Re: FFT for realtime synthesis? From: "gm" Date: Tue, October 30, 2018 8:17 pm To: music-dsp@music.co

[music-dsp] two fundamental questions Re: FFT for realtime synthesis?

2018-10-30 Thread gm
Am 30.10.2018 um 16:30 schrieb gm: -Compress the peaks (without the surrounding regions) and noise into smaller spectra. (but how? - can you simply add those that fall into the same bins?) snip... I am curious about the spectrum compression part, would this work and if not why not?