Pulsed oscillations generator based on initial conditioned and switched cross-coupled MOS oscillator. Application to the synchronization of the pulsed oscillations

This work focuses on the analysis of a periodically switched cross-coupled nMOS oscillator when periodic initial conditions are applied. Based on a classical Van der Pol model of the oscillator, an analytical solution is used that takes into account the time dependency of the instantaneous amplitude and frequency. This leads to a model for pulsed oscillations generated by the initial conditioned and the periodically switched oscillator. An analysis is performed on the synchronization of the pulsed oscillations depending on the initial condition. It is shown that when periodic initial conditions are applied at oscillation start, the pulsed oscillations are synchronized on the input signal. The observed synchronization phenomenon is called pseudo-locking.