Evading amplifier noise in nonlinear oscillators

Greywall, Dennis S.; Yurke, Bernard; Busch, Paul; Pargellis, A. N.; Willett, R. L.

doi:10.1103/physrevlett.72.2992

Cited by 131 publications

(141 citation statements)

References 8 publications

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“…We find, first, that complete noise quenching only occurs when the system is operated in the high amplitude, fully saturated regime, which corresponds to the system studied in Ref. [1]. We also show that substantial phase noise reduction can be achieved away from this limit, even when the oscillator operates at amplitudes far below the critical point for bifurcations of the associated open-loop system.…”

Section: Introductionmentioning

confidence: 76%

“…Some time ago, Greywall et al demonstrated an interesting noise quenching effect in the operation of a self-oscillating system [1,2], a discovery that has an important potential impact for the design of high frequency, low noise electronic oscillators [3,4]. In addition to its practical consequences, the noise quenching phenomenon is of fundamental interest because it appeared when the system operated in the nonlinear regime, i.e., the quenching apparently relies on the inherent nonlinearity of the resonating element.…”

Section: Introductionmentioning

confidence: 99%

“…We reconsider the system of Ref. [1] using a generalized, more realistic amplifier feedback term, having both a low amplitude linear gain regime and a large amplitude saturated gain regime. We find, first, that complete noise quenching only occurs when the system is operated in the high amplitude, fully saturated regime, which corresponds to the system studied in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Phase noise of oscillators with unsaturated amplifiers

et al. 2013

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We study the role of amplifier saturation in eliminating feedback noise in self-sustained oscillators. We extend previous works that use a saturated amplifier to quench fluctuations in the feedback magnitude, while simultaneously tuning the oscillator to an operating point at which the resonator nonlinearity cancels fluctuations in the feedback phase. We consider a generalized model which features an amplitude-dependent amplifier gain function. This allows us to determine the total oscillator phase noise in realistic configurations due to noise in both quadratures of the feedback, and to show that it is not necessary to drive the resonator to large oscillation amplitudes in order to eliminate noise in the phase of the feedback.

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Section: Introductionmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Phase noise of oscillators with unsaturated amplifiers

et al. 2013

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“…When used in the linear regime, non-linearity limits the dynamic range of a device [3]. One can also exploit non-linearity with for instance frequency mixing [4], synchronization [5], amplification using bifurcation points [6], suppression of amplifier noise in oscillator circuits [7][8][9], and mass (homodyne) detection [10]. Moreover, the non-linear component proves to be essential to complex, useful and efficient designs, with for instance the diode in conventional electronics and the Josephson junction in superconducting circuitry [11].…”

Section: Introductionmentioning

confidence: 99%

Addressing geometric nonlinearities with cantilever microelectromechanical systems: Beyond the Duffing model

2010

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We report on low temperature measurements performed on micro-electro-mechanical systems (MEMS) driven deeply into the non-linear regime. The materials are kept in their elastic domain, while the observed non-linearity is purely of geometrical origin. Two techniques are used, harmonic drive and free decay. For each case, we present an analytic theory fitting the data. The harmonic drive is fit with a Lorentz-like lineshape obtained from an extended version of Landau and Lifshitz's non-linear theory. The evolution in the time domain is fit with an amplitude-dependent frequency decaying function derived from the Lindstedt-Poincaré theory of non-linear differential equations. The technique is perfectly generic and can be straightforwardly adapted to any mechanical device made of ideally elastic constituents, and which can be reduced to a single degree of freedom, for an experimental definition of its non-linear dynamics equation.

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“…However, if the driving amplitude of a resonator is enhanced, the system might be driven into the nonlinear or chaotic regime. 4 For NEMS in sensing or switching signals, it is quite important to determine the possibility and the specific kind of linear to nonlinear transition. 5 The linear dynamic range ͑DR͒ is an established concept to characterize the linear behavior of nanoresonators.…”

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confidence: 99%