Abstract: A system for characterizing a circuit includes a computer. The computer operates on a model of the circuit. The model has an input and output. The computer is configured to supply a stimulus to the input of the model of the circuit. The input stimulus has an input value. The computer is also configured to supply a stimulus to the output of the model. The output stimulus has an output value. The computer is further configured to sweep the input and output values through a first and second set of swept values, and to characterize an output current of the model of the circuit as a function of the first and second swept values.

Abstract: A system for characterizing an interconnect in an electrical circuit includes a computer. The computer calculates a set of terms, the set of terms derived from (i) a characteristic pole and a characteristic residue of the interconnect and (ii) a fixed time step used to describe a stimulus applied to the interconnect. The computer calculates a response of the interconnect to the stimulus by calculating a partial sum derived from the set of terms.