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