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Tue Oct 21 11:04:44 EDT 2014

## Circuit simulation

Been thinking about impedance and circuits. Some conclusions:
- It's possible to move nonlinearities into the temporal domain as
long as they are smooth enough. I.e. a diode becomes (d = unit delay):
I[k]/I_s = e(V[k-1]/V_T) {1 + (V[k]-V[k-1])/V_T}
I.e. the nonlinear relation is past->now, not now<->now.
- For circuits, nonlinearity is essential (cannot be decoupled).
I.e. we need to keep that matrix and solve it.
Open questions:
- In what form should equations be specified?
- How to translate equations into matrix form, i.e. separate variables
from coefficients and linearize nonlinear components.
- Should voltages be floating or is a common ground assumed? -> NO
Start with abstraction! Equations should be specified as n-ports. A
system that is solvable is a 0-port. E.g. system of interest + input
source.

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