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- R Brendel, N Ratier, L Couteleau, G Marianneau, P Guillemot
- IEEE transactions on ultrasonics, ferroelectrics…
- 1998

By using an approach based on the full nonlinear Barkhausen criterion, it is possible to describe oscillator behavior under the form of a nonlinear characteristic polynomial whose coefficients are functions of the circuit components and of the oscillation amplitude. Solving the polynomial in the frequency domain leads to the steady state oscillation… (More)

- Loreto Rodriguez-Pardo, Jose Fariña, Claude Gabrielli, Hubert Perrot, Remi Brendel
- IEEE transactions on ultrasonics, ferroelectrics…
- 2007

In this paper, a new contribution to the design of quartz crystal oscillators for high-sensitivity microbalance sensors used in liquid media is presented. The oscillation condition for a Miller configuration was studied to work in a wide dynamic range of the resonator losses. The equations relating the values of the active and passive components with the… (More)

- N. Ratier, R. Brendel, P. Guillemot
- 2008

This paper presents the method used to derive the oscillation condition by using symbolic calculus. The program is based on the full nonlinear Barkhausen criterion method. The behaviour of an oscillator is described by a complex polynomial called the characteristic polynomial. This polynomial enables us to calculate the steady state features of the… (More)

- Loreto Rodríguez-Pardo, José Fariña Rodríguez, Claude Gabrielli, Hubert Perrot, Remi Brendel
- IEEE Trans. Instrumentation and Measurement
- 2008

The behavior of a quartz crystal oscillator can be described by a nonlinear characteristic polynomial whose coefficients are function of the circuit parameters. Solving the polynomial in the frequency domain leads to the steady state oscillation amplitude and frequency. In the time domain, it gives the oscillator signal transient. Deriving the… (More)

- R Brendel, N Ratier, L Couteleau, G Marianneau, P Guillemot
- IEEE transactions on ultrasonics, ferroelectrics…
- 1999

By using formal manipulation capability of commercially available symbolic calculation code, it is possible to automatically derive the characteristic polynomial describing the conditions for oscillation of a circuit. The analytical expression of the characteristic polynomial is obtained through an encapsulation process starting from the SPICE netlist… (More)

- Nicolas Ratier, Mickaël Bruniaux, Rémi Brendel, Jérôme Delporte
- 2008

The Nonlinear Dipolar Method is dedicated to the simulation of quartz crystal oscillator with high quality factor. In this method, the oscillators is considered as a resonator connected across an amplifier that behaves like a nonlinear dipole whose impedance evaluated at resonator’s frequency depends on the current amplitude. This dipole allows us to… (More)

- Rémi Brendel, Farid Chirouf, +6 authors D. Gillet
- 2017

The dipolar method associated with a nonlinear time domain simulation program make up a powerful tool to analyze high Q-factor circuits like quartz crystal oscillators. After a brief remainder of the dipolar method, the paper will attempt to identify the main amplifier characteristics such as limitation mechanism, input and output impedances, etc. and to… (More)

- Serge Galliou, Fabrice Sthal, +8 authors E. Rubiola
- 2017

In the mid 90s the quartz crystal oscillator attained a stability in the upper 10 (flicker floor of the Allan deviation σy(τ), which occurs at τ =1..10 s). As a matter of fact, the highest stability was obtained with bulk-acoustic-wave quartz crystal resonators at 5 MHz and at 10 MHz. Since, the research for higher stability seems to be at a standstill,… (More)