On Mon, Jul 13, 2015 at 3:28 AM, Vadim Zavalishin <vadim.zavalis...@native-instruments.de> wrote: > On 10-Jul-15 19:50, Charles Z Henry wrote: >> >> The more general conjecture for the math heads : >> If u is the solution of a differential equation with forcing function g >> and y = conv(u, v) >> Then, y is the solution of the same differential equation with forcing >> function >> h=conv(g,v) >> >> I haven't got a solid proof for that yet, but it looks pretty easy. > > > How about the equation > > u''=-w*u+g > > where v is sinc and w is above the sampling frequency?
I think you meant sqrt(w) is above the sampling freq. This is also a good one. I also saw some scenarios like this, that just might take a little time. The math should come out that if sqrt(w) > f_s, u=0 and if sqrt(w) < f_s, u is a sine. I'll work on it a bit over the week and see if I can make the calculus work :) -- dupswapdrop -- the music-dsp mailing list and website: subscription info, FAQ, source code archive, list archive, book reviews, dsp links http://music.columbia.edu/cmc/music-dsp http://music.columbia.edu/mailman/listinfo/music-dsp
