Precision frequency control and selection: A bibliography

Gerber, E.A.

doi:10.1109/freq.1979.200371

Cited by 10 publications

(10 citation statements)

References 93 publications

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“…A stable limit cycle results when positive damping of the resonator is compensated by the negative damping provided by the oscillator circuit 22 with amplitude and frequency stability governed by the loop dynamics and the non-linear amplitude limiting mechanism. Coupling between two oscillators facilitates the interaction of the phase trajectories.…”

Section: Modelling Of Electrically Coupled Mems Oscillatorsmentioning

confidence: 99%

Synchronization in a coupled architecture of microelectromechanical oscillators

Agrawal

Woodhouse

Seshia

2014

Journal of Applied Physics

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Articles you may be interested inNumerical and analytical investigation of the synchronization of dipolarly coupled vortex spin-torque nanooscillators Appl.There has been much recent interest in engineering the phenomenon of synchronization in coupled micro-/nano-scale oscillators for applications ranging from precision time and frequency references to new approaches to information processing. This paper presents descriptive modelling detail and further experimental validation of the phenomenon of mutual synchronization in coupled MEMS oscillators building upon recent experimental validation of this concept by the present authors. In particular, the underlying dependence of the observation of synchronization on system parameters is studied through numerical and analytical modelling while considering essential nonlinearities in both the resonator and circuit domain. Experimental results demonstrating synchronized response are elaborated based on the realization of electrically coupled MEMS resonator based square-wave oscillators. The experimental results on frequency entrainment are found to be in general agreement with results obtained through analytical modeling and numerical simulation. The concept presented here is scalable and could be used to investigate the dynamics of large-arrays of coupled MEMS oscillators. V C 2014 AIP Publishing LLC. [http://dx.

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Section: Modelling Of Electrically Coupled Mems Oscillatorsmentioning

confidence: 99%

Synchronization in a coupled architecture of microelectromechanical oscillators

Agrawal

Woodhouse

Seshia

2014

Journal of Applied Physics

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“…For simplicity in discussing the sensing behavior of the FBAR device, it is assumed that the electrodes are perfect wave propagation reflectors and that the attenuation in the piezoelectric film is negligible; thus the series resonant frequency (fs) of the FBAR, which is defined as the frequency at which minimum impedance is achieved, is mainly determined by the properties of the piezoelectric film, the excitation voltage V a and the film thickness d. 11) According to acoustic physics, V a can be expressed as…”

Section: Fbar-based Sensor Designmentioning

confidence: 99%

High-Performance Film Bulk Acoustic Wave Pressure and Temperature Sensors

Chiu

Chen²,

Huang

2007

jjap

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A film bulk acoustic wave resonator (FBAR)-based sensor for the simultaneous measurement of temperature and pressure with high sensitivity is fabricated and characterized. Temperature or pressure sensing is determined by the change in the series resonant frequency of the FBAR device when exposed to a measurement environment. For temperature sensing, measurement results show a sensitivity of 25.02 ppm/ C, a nonlinearity less than AE0:005% over the measurement range of 10 to 80 C, and a hysteresis within AE0:005% in one temperature cycle. In pressure sensing, measured results show a sensitivity of 336.2 ppm/ bar, a nonlinearity less than AE0:004% over the measurement pressure range of 0 to 2.07 bar, and a hysteresis within AE0:007% in one pressure cycle.

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“…In this analysis, physical constants of quartz crystal are used in the calculation. 24) The measured Q values were obtained from commercially available tuning forks encapsulated in a stainless case under an evacuated condition at room temperature.…”

Section: Comparison Between Measured and Calculated Valuesmentioning

confidence: 99%

Analysis of quality factor of quartz-crystal tuning forks using L-shaped bar model with torsion spring

Sugiura¹

2014

Jpn. J. Appl. Phys.

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We analyzed the quality factor of a quartz-crystal tuning fork using an L-shaped bar model that consisted of two bars depicting the right half of the tuning fork and a torsion spring at the joint of its arm and base bars. An analysis of the quality factor showed that the calculated quality factor is lower by approximately 10% of that calculated by a cantilever model and is closer to the measured quality factor.

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Precision frequency control and selection: A bibliography

Cited by 10 publications

References 93 publications

Synchronization in a coupled architecture of microelectromechanical oscillators

Synchronization in a coupled architecture of microelectromechanical oscillators

High-Performance Film Bulk Acoustic Wave Pressure and Temperature Sensors

Analysis of quality factor of quartz-crystal tuning forks using L-shaped bar model with torsion spring

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