Analysis of the Synchronous Amplifier Properties Using Matlab and Simulation in Microcap Environment

The paper studies a simplified mathematical model of the synchronous amplifier based on the Colpitts oscillator made on a complementary pair of MOS transistors using the MATLAB system. The analysis was implemented using an equivalent amplifier circuit using the MOS transistor model on a large signal, taking into account the effect of the substrate. The amplifier circuit is described by a system of first order differential equations, which is solved by the Runge-Kutta method, at the input of which, the synchronizing (amplified) signal with a phase change. The results obtained by solving the system of differential equations of the synchronous amplifier using the MATLAB system are compared with the results of modeling in the MICROCAP environment at the same operating point. The study of the mathematical model of the synchronous amplifier was performed in the time domain after reaching the steady state of the oscillator, which excluded the influence of transients when a phase-manipulated signal is applied to its input. In this case, the time of phase change of the input signal on
$\pi$
occurred during one to two periods of the generated oscillations at different values of the initial phase of the input signal.