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Research Article
Open Access

Transient and Steady-State Analysis of Nonlinear RF and Microwave Circuits

EURASIP Journal on Wireless Communications and Networking20062006:032097

https://doi.org/10.1155/WCN/2006/32097

©  L. Zhu and C. E. Christoffersen 2006

Received: 1 November 2005

Accepted: 28 February 2006

Published: 19 April 2006

Abstract

This paper offers a review of simulation methods currently available for the transient and steady-state analysis of nonlinear RF and microwave circuits. The most general method continues to be the time-marching approach used in Spice, but more recent methods based on multiple time dimensions are particularly effective for RF and microwave circuits. We derive nodal formulations for the most widely used multiple time dimension methods. We put special emphasis on methods for the analysis of oscillators based in the warped multitime partial differential equations (WaMPDE) approach. Case studies of a Colpitts oscillator and a voltage controlled Clapp-Gouriet oscillator are presented and discussed. The accuracy of the amplitude and phase of these methods is investigated. It is shown that the exploitation of frequency-domain latency reduces the computational effort.

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Authors’ Affiliations

(1)
Department of Electrical Engineering, Lakehead University

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Copyright

© L. Zhu and C. E. Christoffersen 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.