Title :
Sinusoidal and relaxation oscillations in emitter-coupled multivibrators
Author :
Filanovsky, I.M. ; Verhoeven, C.J.M.
Author_Institution :
Univ. of Alberta, Edmonton
Abstract :
The paper investigates transition from sinusoidal to relaxation oscillations in emitter-coupled multivibrator. First, the differential equation for sinusoidal regime is obtained, and the frequency and amplitude are calculated. Then, the transition from sinusoidal to relaxation oscillations is traced using the phase plane of this equation. The transition is explained by modification of the shape of central branch for the isocline of horizontal tangents. Finally, the sinusoidal regime approximation for static impedance seen by the coupling capacitor is used to calculate the oscillation period in relaxation oscillation. The results were verified in simulations.
Keywords :
differential equations; multivibrators; relaxation oscillators; coupling capacitor; differential equation; emitter-coupled multivibrators; relaxation oscillation; sinusoidal oscillation; static impedance; Capacitors; Circuit simulation; Coupling circuits; Differential equations; Equivalent circuits; Frequency; Impedance; Laboratories; Nonlinear equations; Shape; Emitter-coupled multivibrators; relaxation oscillations; sinusoidal oscillations; van der Pol equation;
Conference_Titel :
Circuits and Systems, 2007. MWSCAS 2007. 50th Midwest Symposium on
Conference_Location :
Montreal, Que.
Print_ISBN :
978-1-4244-1175-7
Electronic_ISBN :
1548-3746
DOI :
10.1109/MWSCAS.2007.4488630