Efficient sampled-data simulation method for transient analysis of nonlinear circuits

The paper presents an explicit and efficient transient analysis method for nonlinear circuits. The method makes use of Volterra series representation of nonlinear systems and characterises the behaviour of nonlinear circuits in the time domain using a set of Volterra circuits. The input of the first-order Volterra circuit is the same as that of the nonlinear circuit, whereas that of higher-order Volterra circuits is obtained from the response of lower-order Volterra circuits and interpolation. These Volterra circuits are solved using the sampled-data simulation of linear circuits for computational efficiency and accuracy. The response of the nonlinear circuit 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 widely used predictor-corrector algorithms, but with greatly improved computational efficiency.