On 11/14, Oleg Nesterov wrote:
>
> On 08/21, Oleg Nesterov wrote:
> >
> > On 08/20, Julius Smith wrote:
> > >
> > > Pretty fun! This looks closely related Andy Moorer's technique:
> > >
> > > @ARTICLE{MoorerDSF75,
> > > AUTHOR = "James A. Moorer",
> > > TITLE = "The Synthesis of Complex Audio Spectra by Means of
> > > Discrete Summation Formulae",
> > > JOURNAL = JAES,
> > > VOLUME = 24,
> > > PAGES = {717--727},
> > > MONTH = dec,
> > > NOTE = "Also available as CCRMA Report no.
> > > \htmladdnormallink{STAN-M-5}{https://ccrma.stanford.edu/STANM/stanms/stanm5/
> > > }",
> > > YEAR = 1975
> > > }
> >
> > Thanks! At first glance I don't think this is very closely related
> > but interesting.
>
> So yes, this is another thing, I'll try to make another PR, I already
> have the code.
That paper has a lot of great ideas, but I would like to add the basic
oscillator(s) for the start.
Looks "obviously useful". The code is very simple.
But. I don't know how to document it properly. And of course, the naming.
Please see my best effort below.
Do you all have any suggestions on how I can improve the docs/naming?
Thanks,
Oleg.
//-----------------`(os.)xxx`-------------------------------
// An environment with sinusoidal oscillators with exponentially decaying
harmonics
//
// #### Example test program
//
// ```
// xxx.oscN(4, a, 1000,500)
// ```
//
// outputs:
//
// ```
// so(1000) + a*so(1500) + a^2*so(2000) + a^3*so(2500) with { so = quadosc :
!,_; }
// ```
//
// #### Reference
// https://ccrma.stanford.edu/STANM/stanms/stanm5/stanm5.pdf
// ---------------------------------------------------------
xxx = environment {
qo = quadosc;
co = qo : _,!;
so = qo : !,_;
// infinite number of harmonics, implies aliasing
osc(a,f0,df) = (so(f0) - a*so(f0-df)) / (1 + a^2 - 2*a*co(df));
// n harmonics, f0, f0 + df, ..., f0 + (n-1)*df
oscN(n,a,f0,df) = osc(a,f0,df) - a^n * osc(a,fn,df)
with {
fn = f0 + n*df;
};
// finite number of harmonics, from f0 to nyquist
oscNq(a,f0,df) = oscN(n,a,f0,df)
with {
n = (ma.SR/2 - f0) / df : int;
};
};
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