Title :
Sinusoidal and Relaxation Oscillations in Source-Coupled Multivibrators
Author :
Filanovsky, Igor M. ; Verhoeven, C.J.M.
Author_Institution :
Alberta Univ., Edmonton
Abstract :
The paper considers the differential equation describing sinusoidal and relaxation oscillations of the source-coupled multivibrator. The transition from one form of oscillations to another, when the coupling capacitor is increasing, is explained by modifications in the shape of the central branch of the isocline of horizontal tangents on the phase plane of this differential equation. The formulas for amplitude and frequency calculations in sinusoidal operation are found. The calculations of transistor switching time and period for relaxation oscillations are provided as well. The results were verified in simulations.
Keywords :
circuit oscillations; coupled circuits; differential equations; multivibrators; relaxation oscillators; amplitude calculation; coupling capacitor; differential equation; frequency calculations; horizontal tangents; relaxation oscillations; sinusoidal oscillations; source-coupled multivibrators; transistor switching time; Relaxation oscillations; sinusoidal oscillations; source-coupled multivibrators; van der Pol equation;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2007.903220