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

EURASIP Journal on Wireless Communications and Networking volume 2006, Article number: 032097 (2006) Cite this article

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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Affiliations

  1. Department of Electrical Engineering, Lakehead University, Thunder Bay, ON, Canada, P7B 5E1

    Lei (Lana) Zhu & Carlos E Christoffersen

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  1. Lei (Lana) Zhu
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  2. Carlos E Christoffersen
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Correspondence to Carlos E Christoffersen.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Zhu, L.(., Christoffersen, C.E. Transient and Steady-State Analysis of Nonlinear RF and Microwave Circuits. J Wireless Com Network 2006, 032097 (2006). https://doi.org/10.1155/WCN/2006/32097

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Keywords

  • Differential Equation
  • Microwave
  • Information System
  • Partial Differential Equation
  • Multiple Time