Computation method for the short-term stability of quartz crystal resonators obtained from passive phase noise measures

Sthal, F.; Imbaud, Joël; Vacheret, Xavier; Salzenstein, Patrice; Cibiel, Gilles; Galliou, Serge

doi:10.1109/tuffc.2013.2725

Cited by 20 publications

(12 citation statements)

References 12 publications

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“…For the quartz resonator noise measurement benches, work has given both a description of this type of instrument and the uncertainty that could be expected [29].…”

Section: Uncertainty Evaluationmentioning

confidence: 99%

Frequency and temperature control for complex system engineering in optoelectronics and electronics: an overview

Salzenstein

2020

Int. J. Simul. Multidisci. Des. Optim.

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To take advantage of the physical principles of determining parameters, such as frequency stability, noise and also alignment of optical signals, it is necessary to control complex systems. This work allows explaining it through various concrete cases such as the determination of phase noise of microwave oscillators, the control of the temperature of the manufacturing process of optical components. We also discuss the estimation of the uncertainty associated with the measurement results, as it is fundamental to control the error range.

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“…For the quartz resonator noise measurement benches, work has given both a description of this type of instrument and the uncertainty that could be expected [29].…”

Section: Uncertainty Evaluationmentioning

confidence: 99%

Frequency and temperature control for complex system engineering in optoelectronics and electronics: an overview

Salzenstein

2020

Int. J. Simul. Multidisci. Des. Optim.

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“…For 1/f (flicker) noise, the standard deviation of the difference of the average fractional frequencies measured for two consecutive samples is given by the expression [6]:…”

Section: A Fluctuation-dissipation Theoremmentioning

confidence: 99%

“…The passive technique using carrier suppression is used to characterize the inherent phase stability of the ultra-stable resonators [6]. The noise results are usually measured in term of L(f), the one-sided power spectral density (PSD) of the phase fluctuations.…”

Section: A Short Term Stability Definitionmentioning

confidence: 99%

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Theoretical and experimental investigations of 1/f noise in quartz crystal resonators

Ghosh

Sthal

Imbaud

et al. 2013

2013 Joint European Frequency and Time Forum &Amp; International Frequency Control Symposium (EFTF/IFC)

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Fluctuation dissipation theorem allows to recover a 1/f noise spectral density at low frequency. The level of this 1/f noise is governed by a single fitting parameter that can be connected to the onset frequency of this 1/f regime. It constitutes the fundamental intrinsic limit of quartz crystal. Some preliminary considerations on the physical origin of this parameter in terms of microscopic processes in the crystal are given. Experimentally, quartz crystal resonators have been cut from a quartz crystal block supplied specifically for this study on 1/f noise. The shortterm stabilities of several resonators have been measured to be lower than 810 -14 . A comparison of these resonators is given and the results are discussed according to the position of the resonators inside the crystal block.

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“…Conversion of phase noise into short-term stability has been adjusted in 2013. 8 The interesting part of this measurement method is to give a very low noise floor around −150 dBc/Hz at 1 Hz and −160 dBc/Hz at 10 Hz depending on the driving power of the resonators. In the last decade, the measurements of ultrastable quartz crystal resonators have been performed in order to find explanation on the origin of the 1/f flicker noise.…”

Section: Introductionmentioning

confidence: 99%

Carrier suppression system to measure phase noise of acoustic resonators with low motional resistance

Pokharel

Vaillant

Imbaud

et al. 2020

Review of Scientific Instruments

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A carrier suppression system is implemented in order to measure the phase noise of acoustic resonators that have a low motional resistance. A special adapters’ system using transformers is proposed to improve the loaded quality factor of the resonators. With this developed device and described protocol, the inherent noise of resonators can be obtained without the usual electronical oscillator conditioning that could take part in the results. The loaded quality factor is improved from about 10% to 60% of the intrinsic quality factor. As an example, the system is used to study Langatate crystal resonators vibrating at 10 MHz. Langatate crystals can be an alternative to substitute for the quartz crystal resonators for frequency and time applications. Their coupling coefficient and the product quality factor-frequency are normally higher than those in quartz crystal resonators. For ultrastable resonators, the motional resistance obtained with Langatate crystals is about five times lower than that for the quartz crystal; it can reach typically few ohms. These resonators have been characterized in terms of impedance, Q-factors, turnover temperature, amplitude–frequency effect, and phase noise. The short-term stability of these resonators is given in terms of Allan standard deviation. The influence of the driving power is presented.

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Computation method for the short-term stability of quartz crystal resonators obtained from passive phase noise measures

Cited by 20 publications

References 12 publications

Frequency and temperature control for complex system engineering in optoelectronics and electronics: an overview

Frequency and temperature control for complex system engineering in optoelectronics and electronics: an overview

Theoretical and experimental investigations of 1/f noise in quartz crystal resonators

Carrier suppression system to measure phase noise of acoustic resonators with low motional resistance

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