[PD] Guitar distortion (Chebyshev?)

Mathieu Bouchard matju at artengine.ca
Sun Sep 12 18:05:30 CEST 2010


On Sun, 12 Sep 2010, Martin Peach wrote:

> It's not the capacitors, it's the amplifier losing gain when it approaches 
> the power supply.

Yeah, but it seems to be a pattern similar to the one found in capacitors, 
because capacitor theory has exp(-x) all over it, and the only way that 
capacitors behave like [hip~] is when the signal is much below the 
capacity rating (µF)... otherwise they lose gain... when they don't, it's 
because exp(-x) can be well approximated by x.

And then, exp is very close to tanh in several different ways, one of them 
being this (use gnuplot) :

   plot [-2:2] [-1:1] exp(x*sqrt(2))-1, 1-exp(-x*sqrt(2)), tanh(x), x

I put the plain 'x' at the end to show what I mean above (though you 
already know that)

  _______________________________________________________________________
| Mathieu Bouchard ------------------------------ Villeray, Montréal, QC


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