AW: additive

[Eli Brandt]

Paul Perry wrote:
> I'm not a mathematician.... but,can anyone say whether it
> is possible to additively synthesise an arbitrary periodic
> waveform from a series of triangles?

Excepting DC, I think so.  Take the sine spectrum {x_i} that you want;
start off with tri1=x1 to match the fundamental and tri2=x2 to match
the second partial.  Then you have to match the third plus cancel the
junk you put in with tri1, so tri3=x3-x1/9.  And so forth.  Ought to
converge.

Deconvolution of {x_i} by {1, 0, 1/9, 0, 1/25, ...} I guess.

-- 
     Eli Brandt  |  eli+ at cs.cmu.edu  |  http://www.cs.cmu.edu/~eli/