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An Analytical Formulation for Phase Noise in MEMS Oscillators


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Publication Date: 2014

Journal Title: IEEE Transactions on Ultrasonics, FerroElectrics, and Frequency Control

Publisher: IEEE

Volume: 61

Issue: 12

Pages: 1938-1952

Language: English

Type: Article

Metadata: Show full item record

Citation: Agrawal, D. K., & Seshia, A. A. (2014). An Analytical Formulation for Phase Noise in MEMS Oscillators. IEEE Transactions on Ultrasonics, FerroElectrics, and Frequency Control, 61 (12), 1938-1952.

Description: This is the author accepted manuscript. The final version is available from IEEE via http://dx.doi.org/10.1109/TUFFC.2014.006511

Abstract: In recent years, there has been much interest in the design of low noise MEMS oscillators. This paper presents a new analytical formulation for noise in a MEMS oscillator encompassing essential resonator and amplifier nonlinearities. The analytical expression for oscillator noise is derived by solving a second order nonlinear stochastic differential equation. This approach is applied to noise modelling of an electrostatically addressed MEMS resonator-based square wave oscillator in which the resonator and oscillator circuit nonlinearities are integrated into a single modelling framework. By considering the resulting amplitude and phase relations, we derive additional noise terms due to resonator nonlinearities. The phase diffusion of an oscillator is studied, and the phase diffusion coefficient is proposed as a metric for noise optimisation. The proposed nonlinear phase noise model provides analytical insight into the underlying physics and a pathway towards the design optimisation for low noise MEMS oscillators.

Keywords: MEMS, resonator, oscillator, nonlinear effects, bifurcation, stochastic integration, phase diffusion, amplitude noise, phase noise

Sponsorship: The authors would like to thank the UK-Indian Education and Research Initiative (grant SA06-250) and the Cambridge Trusts for funding support.

Identifiers:

This record's URL: http://www.repository.cam.ac.uk/handle/1810/246074http://dx.doi.org/10.1109/TUFFC.2014.006511





Author: Agrawal, Deepak K.Seshia, Ashwin A.

Source: https://www.repository.cam.ac.uk/handle/1810/246074



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