Efficient non-Monte Carlo method for statistical analysis of periodically switched linear circuits in frequency domain

Abstract

The author presents an efficient non-Monte Carlo method for the statistical analysis of periodically switched linear (PSL) circuits in the frequency domain. The method uses the first-order second-moment (FOSM) approach to compute the mean and variance of the frequency response of PSL circuits. In addition, it uses a new, efficient, and accurate multi-step numerical Laplace inversion algorithm to calculate the response of PSL circuits. The method has been implemented in a computer program. Numerical results on example circuits demonstrate that the method is computationally efficient. It yields good estimation of the mean and variance of the frequency response of PSL circuits when the coefficient of variance of circuit parameters is low. The method is applicable to general PSL circuits, including switched capacitor and switched current networks, and can be incorporated into existing CAD tools for rapid analysis of the stochastic behaviour of PSL circuits in the frequency domain.