[PD] mathematician types (was: Big distortion ?)

[Charles Henry]

Is there a spectral theory of waveshapers?  Generally speaking,
distortion produces different harmonics of signals....
Another way of generating harmonics is to use convolution in the
fourier domain...
for example, the nonlinear transfer function y=x^3 can be represented
in the fourier domain:

FT(y)= FT(x) convolved with FT(x) convolved with FT(x)
and curiously....we can compute and convolve fractional powers of the FT...
I haven't gone too far in depth for this hypothesis....just a thought for you
mathematician types, heh heh

Chuck




On 4/16/06, Tim Blechmann <TimBlechmann at gmx.net> wrote:
> On Sun, 2006-04-16 at 16:16 -0400, Mathieu Bouchard wrote:
> >
> > And about waveshaping, let me say that, for "big distortion", in
> > addition
> > to the tanh(x) and atan(x)*2/pi functions that I may have previously
> > mentioned, x/sqrt(1+x*x) and erf(x) are quite cool. They aren't
> > particularly modeling the behaviour of analog amps nor speaker
> > membranes,
> > but still, they're rather simple functions that appear everywhere in
> > science.
>
> well, most cumulative distribution functions can be adapted as wonderful
> wave-shapers ....
> with the right preamplification and paramerers they make really powerful
> tools ...
>
> t
>
> --
> TimBlechmann at gmx.de    ICQ: 96771783
> http://www.mokabar.tk
>
> Life is really simple, but we insist on making it complicated.
>   Confucius
>
>
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--
Charles Zachary Henry

anti.dazed.med
Med student who needs a Mickey's