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By using an approach based on the full nonlinear Barkhausen criterion, it is possible to describe oscillator behavior under the form of a nonlinear characteristic polynomial whose coefficients are functions of the circuit components and of the oscillation amplitude. Solving the polynomial in the frequency domain leads to the steady state oscillation(More)
— In this paper, we present the SHA method, a Symbolic Harmonic Analysis method to simulate the behaviour of ultrastable quartz crystal oscillators. This nonlinear method is aimed to compute very quickly the steady state as well as amplitude and frequency transients. The ultimate goal is to see instantaneously the influence of a parameter change on the(More)
—The Nonlinear Dipolar Method is dedicated to the simulation of quartz crystal oscillator with high quality factor. In this method, the oscillators is considered as a resonator connected across an amplifier that behaves like a nonlinear dipole whose impedance evaluated at resonator's frequency depends on the current amplitude. This dipole allows us to(More)
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