[PD] Re: buzz~ (more)www.ccrma.edu/~stilti/papers/blit.pdf

[Larry Troxler]

On Sunday 26 October 2003 09:13, Larry Troxler wrote:
> On Friday 24 October 2003 15:12, Frank Barknecht wrote:
> > Yes, you're right, it behaves that way. It might very well be that
> > there indeed is a bug hidden (although it still makes interesting
> > sounds... ;)
>
> Frank, I replaced the formula  with the one in this paper:
>
> www.ccrma.www/~stilti/papers/blit.pdf
>

That's www-ccrma.stanford.edu/~stilti/papers/blit.pdf 

The forumula is in section 3.5.

Some details I've found, that you can see by looking at the summation form: N 
is actually the number of harmonics plus one, so that you need N=2 to 
generate a sinusoid.  Also, the amplitude of the fundamental is scaled by a, 
which maybe is not very intuitive. I would more expect the fundamental to 
stay constant and have the other partial amplitudes relative to that (in 
which case you could just multiply the formula by 1/a). But maybe we should 
see how csound does it.

Other thoughts:

(o) It would be nice if the a parameter could be a DSP signal as well.

(o) I didn't bother with the theta (initial phase) parameter that's used in 
the formula - I just set it to zero and didn't compute it. I think it's only 
usefull if the output is then nonlinearized of if FM is used on it, right?

(o) csound has gbuzz which lets you set the starting harmonic as well. I think 
you would just subtract two buzz's to do this, but maybe something in the 
formula cancels out when you do this, reducing the computation

(o) Would it make sense to have a version that takes input from an external  
phasor, rather than using one internally? In this way the computation would 
be reduced when using a few of these to generate a complete spectrum as is 
described in the paper.

Larry