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A slow-fast dynamics model of a second-order log-domain floating-capacitor LC-ladder circuit
No full text
On the modeling of log-domain LC-ladder circuits
No full textLog-domain filters are an intriguing form of
current-mode circuits. They are universally regarded
as externally-linear internally-nonlinear circuits in
which each bipolar junction transistor operates in the
forward-active mode at all times and acts as a static
exponential non-linearity relating the collector current
to the base-emitter voltage. This paper establishes
sufficient conditions for the external linearity of single-
ended and differential log-domain LC ladder circuits.
However, differential log-domain LC ladder floating-
capacitor circuits exhibit externally-nonlinear
behaviour. Modeling the transistors as static non-
linearities, the equations of these circuits are unable to
describe their nonlinear behaviour. Simulations show
the strong influence of parasitics on these dynamics
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