[sdiy] Waveform analysis into non-sine components

Neil Johnson neil.johnson97 at ntlworld.com
Tue Apr 10 22:20:09 CEST 2012


Hi,

Olivier Gillet wrote:
> I see two things that make the Fourier basis very special:
> * It is the basis of eigenfunctions of LTI (linear time-invariant)
> systems. The LTI bit: Electronic circuits built with ideal R, L, C
> elements and linear gain elements (ideal op-amps, OTA, etc...) are LTI
> systems - systems whose behavior is captured in a transfer function.

This nicely segues into the Laplace transform:

http://en.wikipedia.org/wiki/Laplace_transform

which is where the 's' operator so often used in filter design comes from.

Cheers,
Neil
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