Modeling and Characterization of Oscillator Circuits by Van Der Pol Model Using Parameter Estimation

Dumitrescu, Iulia; Bachir, Smaïl; Cordeau, David; Paillot, Jean‐Marie; Iordache, Mihai

doi:10.1142/s0218126612500430

Cited by 19 publications

(14 citation statements)

References 17 publications

(17 reference statements)

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“…Here the analysis in [23] is generalized to the case of a fifth-order voltage-controlled current source, which will be expressed as: i(v) = av + bv 3 + dv 5 . This polynomial model with only odd terms enables a good estimation of the odd-mode behavior of cross-coupled transistors [27]- [28]. According to [13], [15], the introduction of fifth-order term should give rise to crucial changes in the circuit qualitative behavior, in comparison with [23].…”

Section: The Multiple Periodic Modesmentioning

confidence: 99%

Oscillation Modes in Multiresonant Oscillator Circuits

Ramírez

Sancho

Suárez

2016

IEEE Trans. Microwave Theory Techn.

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An in-depth analysis of the oscillation modes in freerunning oscillators loaded with multi-resonance networks is presented. The analysis illustrates the mechanisms for the generation and stabilization of the various periodic modes and establishes the conditions for existence of a single stable periodic mode in distinct regions of the parameter plane. The mechanisms for the generation and stabilization of quasi-periodic regimes, with two concurrent oscillations, are also analyzed, considering different situations in terms of two relevant poles. The stability analysis of quasi-periodic solutions, derived in terms of admittance functions, can be applied to circuits simulated with harmonic balance, under the assumption of high quality factor resonators. The impact of the transistor biasing on the stability properties of the quasi-periodic regimes has been analyzed, demonstrating that it can be used to isolate the quasi-periodic solution from the periodic ones. The analysis procedures have been applied to a practical oscillator based on two cross-coupled transistors at the two frequencies 900 MHz and 2.5 GHz. The case of two independent oscillations operating in a synchronized regime is also analysed, as well as its impact on the phase-noise behavior.

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Section: The Multiple Periodic Modesmentioning

confidence: 99%

Oscillation Modes in Multiresonant Oscillator Circuits

Ramírez

Sancho

Suárez

2016

IEEE Trans. Microwave Theory Techn.

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“…We use some algorithms developed to generate any desired network function in full symbolic form starting from the equivalent diagram of a linear or linearized lumped circuit [11,12,14]. The network function in the Laplace domain ) (s H allows expressing the complex network function in the frequency domain…”

Section: Circuit Parameter Estimation Using Transfer Functionsmentioning

confidence: 99%

“…The active part of the oscillators consists in two voltagecontrolled nonlinear resistors [2,3,5,11,12]. Their nonlinear characteristics are expressed as follows: …”

Section: Circuit Parameter Estimation Using Transfer Functionsmentioning

confidence: 99%

“…We use both tasks in this paper. Moreover, the results of the parameter estimation are discussed in conjunction with the results of a useful sensitivity analysis [7,11,13].…”

Section: Introductionmentioning

confidence: 99%

“…To minimize or maximize scalar objective functions with multiple variables we propose using an unconstrained nonlinear optimization algorithm function fminunc provided by the Optimization Toolbox of Matlab [11].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Parameter estimation and performance optimization of voltage controlled oscillators

Iordache

Dumitriu

Mandache

et al. 2013

International Symposium on Signals, Circuits and Systems ISSCS2013

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The paper is focused on a useful application related to our optimization technique of the arrays of coupled oscillators at millimeter-wave frequencies, a pair of voltage-controlled oscillators coupled through a two-port passive network being treated. A distinct section of the paper is focused on a method to estimate unknown circuit parameters starting from measurements performed on the real system, the method being based on a minimization technique. Other part of the paper treats the optimization of certain performances of the system; we have chosen as objective function the phase shift of the oscillator pair, which is difficult to be adjusted in practice. We used an appropriate frequency space representation by means of the desired network function generated in full symbolic form for a linearized circuit model. This is combined with some measurements performed on the real system and a minimization algorithm for some scalar functions of multiple variables provided by Matlab Optimization Toolbox. The algorithm is suitable to compute optimal circuit parameters which guarantee the minimum respectively maximum values of the performance quantity. Linear or small-signal nonlinear circuits can be treated in this manner. The proposed optimization techniques was tested and validated with simulation data on an illustrative example.

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Quadrature Synchronization of Two Van der Pol Oscillators Coupled by Fractional-Order Derivatives

Singh

Yadava

2018

Advances in Intelligent Systems and Computing

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Modeling and Characterization of Oscillator Circuits by Van Der Pol Model Using Parameter Estimation

Cited by 19 publications

References 17 publications

Oscillation Modes in Multiresonant Oscillator Circuits

Oscillation Modes in Multiresonant Oscillator Circuits

Parameter estimation and performance optimization of voltage controlled oscillators

Quadrature Synchronization of Two Van der Pol Oscillators Coupled by Fractional-Order Derivatives

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