Sinusoidal and relaxation oscillations in emitter-coupled multivibrators

Author

Filanovsky, I.M. ; Verhoeven, C.J.M.

Author_Institution

Univ. of Alberta, Edmonton

fYear

2007

fDate

5-8 Aug. 2007

Firstpage

469

Lastpage

472

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2007. MWSCAS 2007. 50th Midwest Symposium on

Conference_Location

Montreal, Que.

ISSN

1548-3746

Print_ISBN

978-1-4244-1175-7

Electronic_ISBN

1548-3746

Type

conf

DOI

10.1109/MWSCAS.2007.4488630

Filename

4488630