Efficient transient analysis of nonlinear circuits using Volterra series and piecewise constant interpolation

An explicit and efficient transient analysis method for nonlinear circuits is presented. The method makes use of Volterra series representation of nonlinear systems and characterizes the behavior of nonlinear circuits in the time domain using a set of linear circuits called Volterra circuits. The input of the first-order Volterra circuit is the same as that of the nonlinear circuits, whereas that of higher-order Volterra circuits is obtained from the response of the lower-order Volterra circuits and piecewise constant interpolation. The response of the nonlinear circuits is computed at equally spaced instants of time. Numerical results on example circuits demonstrate that the accuracy of the method is comparable to that of predictor-corrector algorithms but with greatly improved computational efficiency