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.
Highlights
The most common computer-aided circuit analysis technique is the time-domain transient analysis using the timemarching approach to solve the system of ordinary differential equations (ODEs) that represent the circuit
We have presented a review of simulation methods currently available for the transient and steady-state analysis of nonlinear RF and microwave circuits
The timemarching approach used in Spice will continue to be widely used, envelope-following methods are effective for RF and microwave circuits and they are becoming a popular choice
Summary
The most common computer-aided circuit analysis technique is the time-domain transient analysis using the timemarching approach to solve the system of ordinary differential equations (ODEs) that represent the circuit. This technique presents a number of shortcomings for the analysis of RF and microwave circuits Amongst these shortcomings is the huge amount of memory and computation time required for the analysis of circuits with widely separated time scales and/or excitations [1]. This is often the case for mixers, power amplifiers, and oscillators.
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