An efficient nonlinear circuit simulation technique

• Published in: 2004 IEE Radio Frequency Integrated Circuits (RFIC) Systems. Digest of Papers pp. 623 - 626
• Main Authors: Dautbegovic, E., Condon, M., Brennan, C.
• Format: Conference Proceeding
• Language: English
• Published: Piscataway NJ IEEE 2004
• Subjects: Analytical models; Applied sciences; Circuit simulation; Differential equations; Electric, optical and optoelectronic circuits; Electronics; Exact sciences and technology; Nonlinear circuits; Partial differential equations; Radio frequency; RF signals; Signal analysis; Signal resolution; Spline; Theoretical study. Circuits analysis and design; Input circuit; Non linear circuit; Numerical integration; Circuit simulation; Differential equation; Non linear model; Multiresolution analysis; Partial differential equation; Equation system
• ISBN: 9780780383333; 0780383338
• ISSN: 1529-2517
• DOI: 10.1109/RFIC.2004.1320698

This paper proposes a new and efficient approach for the analysis and simulation of circuits subject to input signals with widely separated rates of variation. Such signals arise in communication circuits when an RF carrier is modulated by a low-frequency information signal. The proposed technique initially involves converting the ordinary differential equation system, that describes the nonlinear circuit, to a partial differential equation system. The resultant system is then semidiscretised using a multiresolution collocation scheme, involving cubic spline wavelet decomposition. A reduced equation system is subsequently formed, using a nonlinear model reduction strategy. This enables an efficient solution process using trapezoidal numerical integration. Results highlight the efficacy of the proposed approach.