Abstract
The purpose of this investigation is to develop a systematic nonlinear analysis of the circuit in Figure 1, as yet not available in the literature, obtaining an exact formula for the oscillation frequency. Then, we find the condition for the circuit to behave as a relaxation oscillator, or as a nearly sinusoidal oscillator, analyzing the circuit behavior around the equilibrium point through a circuit model accounting for the transistor intrinsic capacitances. A nonlinear analysis of the popular emitter-coupled multivibrator is performed, which is based on the classical discontinuity theory. Exact relationships for calculating its waveform are obtained. Then, we investigate the circuit dynamic behavior showing that at very high frequencies the circuit exhibits a completely different behavior, similar to an LC second-order nearly sinusoidal oscillator. Conditions allowing us to predict one or the other behavior are found.
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