Distortion analysis of periodically switched nonlinear circuits using time-varying Volterra series

Yuan, Fei; Opal, A.

doi:10.1109/81.928155

Cited by 46 publications

(28 citation statements)

References 24 publications

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“…Der lineare Anteilỹ n,L (t) der Ausgangsgrößeỹ n (t) ist eine lineare Funktion der n-ten Eingangsgrößex n (t), während-dessen der nichtlineare Anteilỹ n,NL (t) eine nichtlineare eitung der Modelle für andere Grundnichtlinearitäten ist valent (Yuan, 2001).…”

Section: Die Methode Der Nichtlinearen Stromquellenunclassified

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Berechnung von Nichtlinearitätsparametern von RF MOS Mischern mittels Volterra-Reihen

2011

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Section: Die Methode Der Nichtlinearen Stromquellenunclassified

“…R 1 entspricht dem ersten Taylor-Koeffizienten der StromSpannungsbeziehung (linearer Anteil des Widerstandes). Die Herleitung der Modelle für andere Grundnichtlinearitäten isẗ aquivalent (Yuan und Opal, 2001 …”

Section: Die Methode Der Nichtlinearen Stromquellenunclassified

Berechnung von Nichtlinearitätsparametern von RF MOS Mischern mittels Volterra-Reihen

2011

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“…To consider weakly nonlinearities by the finite magnitude of , higher order terms are included in (7) . (8) In (8) vector kronecker products of are used, and , are the ith order T-periodic conductance and capacitance matrices, respectively. Analogous to the time-invariant case, when the nonlinear current method is used to solve (8), responses at different orders are sought by recursively solving the LPTV circuit in (7) with different inputs.…”

Section: A Time-invariant Volterra Seriesmentioning

confidence: 99%

“…(8) In (8) vector kronecker products of are used, and , are the ith order T-periodic conductance and capacitance matrices, respectively. Analogous to the time-invariant case, when the nonlinear current method is used to solve (8), responses at different orders are sought by recursively solving the LPTV circuit in (7) with different inputs. More specifically, the second and third order responses are determined by (9) (10)…”

Section: A Time-invariant Volterra Seriesmentioning

confidence: 99%

“…In practice, however, this process is very complex and computationally expensive [4]- [6]. Deriving analytical expressions for PTVWN circuits using time-varying Volterra series can quickly become intractable and require significant approximations [7] [8]. It is possible to numerically compute the small-signal nonlinear circuit response using Volterra series with less cost, which involves repeatedly solving the linearized circuit with different inputs.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear distortion analysis via linear-centric models

Pileggi

2003

Proceedings of the 2003 Conference on Asia South Pacific Design Automation - ASPDAC

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Abstract--An efficient distortion analysis methodology is presented for analog and RF circuits that utilizes linear-centric circuit models to generate individual distortion contributions due to the various circuit nonlinearities. The per-nonlinearity distortion results are obtained via a straightforward post-simulation step that is simpler and more efficient than the Volterra series based approaches and do not require the high order device model derivatives. For this reason the order of analysis can be significantly higher than that for a Volterra series implementation while fully accounting for all nonlinearity effects. The proposed methodology is not restricted to weakly nonlinear circuits, but can also analyze per-nonlinearity distortion for active switching mixers and switch capacitor circuits when they are modeled as periodically time-varying weakly nonlinear systems. While Volterra series have also been attempted for this same class of circuits, the requirement of device models for all of the high order model derivatives makes such analysis somewhat impractical. The proposed methodology provides important design insights regarding the relationships between design parameters and circuit linearity, hence the overall system performance. Circuit examples are used to demonstrate the efficacy of the proposed approach, and interesting insights are observed for RF switching mixers in particular.

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Study on Distortion Characteristics of Analog Circuit by Nonlinear Degree of Integrated Circuit Amplifier

Wang

Sun²

2019

Advances in Intelligent Systems and Computing

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Distortion analysis of periodically switched nonlinear circuits using time-varying Volterra series

Cited by 46 publications

References 24 publications

Berechnung von Nichtlinearitätsparametern von RF MOS Mischern mittels Volterra-Reihen

Berechnung von Nichtlinearitätsparametern von RF MOS Mischern mittels Volterra-Reihen

Nonlinear distortion analysis via linear-centric models

Study on Distortion Characteristics of Analog Circuit by Nonlinear Degree of Integrated Circuit Amplifier

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