A novel time-frequency method for the simulation of the steady state of circuits driven by multi-tone signals

Brachtendorf, Hans Georg; Welsch, G.; Laur, R.

doi:10.1109/iscas.1997.621414

Cited by 24 publications

(17 citation statements)

References 12 publications

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“…However, in most cases, it is possible to consider two different time scales [30][31]. The faster time scale t 2 corresponds to the carrier and the slower time scale t 1 corresponds to the modulation.…”

Section: Envelope Transientmentioning

confidence: 99%

“…From this time value, the Newton-Raphson algorithm is applied to obtain the solution ( ) V t along the simulation interval. In the case of circuit containing self-oscillations, the oscillation frequency should be considered in the Fourier basis representation of the circuit variables [19,31]. However, the envelope sampling step may be too large to predict the frequency variations during the oscillation start-up.…”

Section: Envelope Transientmentioning

confidence: 99%

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Nonlinear microwave simulation techniques

Suárez

2015

2015 Integrated Nonlinear Microwave and Millimetre-Wave Circuits Workshop (INMMiC)

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-The design of high performance circuits with short manufacturing cycles and low cost demands reliable analysis tools, capable to accurately predict the circuit behaviour prior to manufacturing. In the case of nonlinear circuits, the user must be aware of the possible coexistence of different steady-state solutions for the same element values and the fact that steadystate methods, such as harmonic balance, may converge to unstable solutions that will not be observed experimentally. In this contribution, the main numerical iterative methods for nonlinear analysis, including time-domain integrations, shooting, harmonic balance and envelope transient, are briefly presented and compared. The steady-state methods must be complemented with a stability steady-state analysis to verify the physical existence of the solution. This stability analysis can also be combined with the use of auxiliary generators to simulate the circuit self-oscillation and predict qualitative changes in the solution under the continuous variation of a parameter. The methods will be applied to timely circuit examples that are demanding from the nonlinear analysis point of view.

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Section: Envelope Transientmentioning

confidence: 99%

Section: Envelope Transientmentioning

confidence: 99%

Nonlinear microwave simulation techniques

Suárez

2015

2015 Integrated Nonlinear Microwave and Millimetre-Wave Circuits Workshop (INMMiC)

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“…In nonlinear circuits dealing with this kind of signal, it is reasonable to assume the following expression for the vector of node voltages [13][14][15][16][17][18][19]:…”

Section: A Envelope Transient Based On the Modified Nodal Approachmentioning

confidence: 99%

“…The recently introduced envelope-transient technique applies similar principles to nonlinear circuit analysis [13][14][15][16][17][18][19]. The circuit variables are expressed in a Fourier series, with the carrier frequency 0 as fundamental and with time-varying harmonic components.…”

Section: Introductionmentioning

confidence: 99%

“…These harmonic components vary at the slower time rate of the modulation signal. When these expressions are introduced in the set of integro-differential equations that describe the circuit behavior, the orthogonality of the Fourier basis provides an equation system in the slowlyvarying harmonic components [6,14]. Due to this slow variation rate, this system is integrated at a much larger step than what would be required for the standard time-domain analysis.…”

Section: Introductionmentioning

confidence: 99%

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Application of the envelope-transient method to the analysis and design of autonomous circuits

Suárez¹,

Sancho²

2005

Int J RF and Microwave Comp Aid Eng

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ABSTRACT:The envelope transient enables a very efficient simulation of circuits with two different time scales, such as those that contain modulated signals (for example, amplifier or mixers), where an accurate prediction of intermodulation distortion is needed. The method has also been extended to oscillator analysis, where it requires additional techniques in order to avoid convergence to degenerate mathematical solutions, for which the circuit is not actually oscillating. It allows an efficient analysis of transients in these circuits and an accurate prediction of the phase-noise spectrum. This article presents an overview of the envelopetransient method and its most recent applications to the simulation of autonomous circuits, such as free and forced oscillators, frequency dividers, and phase-locked loops. Using this method, the operation bands of these circuits (which are delimited by qualitative stability changes or bifurcations) can be determined in a straightforward manner. This technique can also be applied to predict intermodulation distortion in self-oscillating mixers and to simulate the response of synchronized oscillators containing modulated signals. © 2005 Wiley Periodicals, Inc. Int J RF and Microwave CAE 15: 523-535, 2005.

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Nonlinear Circuit Analysis

Suárez

2024

Encyclopedia of RF and Microwave Engineering

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The reliable prediction of the circuit response prior to manufacturing demands realistic element models and accurate analysis methods. This analysis has added difficulties in the case of nonlinear circuits, such as those based on transistors and diodes, in which the superposition principle does not hold. This gives rise to a dependence of the circuit response on the input amplitude and the generation of harmonic and intermodulation frequencies, among other phenomena. The special characteristics of nonlinear circuits are often undesired, but they also make them the only choice to obtain essential functions such as frequency mixing, frequency multiplication, oscillation, and frequency division. This article presents a detailed summary of numerical simulation methods in both the time and frequency domains, highlighting their advantages, limitations, and providing application examples.

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A novel time-frequency method for the simulation of the steady state of circuits driven by multi-tone signals

Cited by 24 publications

References 12 publications

Nonlinear microwave simulation techniques

Nonlinear microwave simulation techniques

Application of the envelope-transient method to the analysis and design of autonomous circuits

Nonlinear Circuit Analysis

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