Abstract
Parametric oscillators have been well studied but currently are not used often. Nevertheless, they could be a low-phase noise solution, at least outside the frequency bandwidth of the resonant circuit. The theoretical aspect of parametric oscillations is briefly reviewed in this paper. Indeed, the basic theory of a simple resistance-inductor-capacitor (RLC) circuit working in parametric conditions easily can be extended toward a resonant loop that includes a quartz crystal resonator. Then, as an application, this study is transposed to a quartz crystal oscillator that has been modeled and tested as a first ptototype. Simulation results are compared with those actually obtained.
Highlights
Parametric amplification in electronics has been wellknown for over 50 years
In contrast with conventional amplifiers, parametric amplifiers use a reactive element to convert the power into the signal of interest
They offer a potential for low noise as an ideal reactive element cannot be a noise source [1]
Summary
Abstract—Parametric oscillators have been well studied but currently are not used often. They could be a low-phase noise solution, at least outside the frequency bandwidth of the resonant circuit. The theoretical aspect of parametric oscillations is briefly reviewed in this paper. The basic theory of a simple resistance-inductorcapacitor (RLC) circuit working in parametric conditions can be extended toward a resonant loop that includes a quartz crystal resonator. As an application, this study is transposed to a quartz crystal oscillator that has been modeled and tested as a first ptototype. Simulation results are compared with those obtained
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