Lumped Nonlinear System Analysis with Volterra Series.

Abstract

Abstract : This study investigates the application aspect of the Volterra series method to nonlinear system analysis, with special emphasis on nonlinear circuits. The contents are organized into five parts: (1) important aspects of Volterra series method; (2) characterization of multiple nonlinearity circuits (systems) using Volterra series; (3) response on nonlinear systems from Volterra series system characterization; (4) Computer-aided analysis of mildly nonlinear circuits using Volterra series; and (5) concrete examples from the application of Volterra series method to nonlinear circuit problems. Algorithms for adapting the Volterra series method for the computer-aided distortion and zero-state transient analysis of mildly nonlinear circuits are developed next. A symbolic approach is used which not only improves the computational efficiency but also provides a link to the earlier ideas on convergence, etc. An overview of the digital computer program PRANC, which uses the Volterra series method, is also given.