DocumentCode
2958745
Title
Transition from Sinusoidal to Relaxation Oscillations in Emitter-Coupled Multivibrators
Author
Filanovsky, I.M. ; Verhoeven, C.J.M.
Author_Institution
Univ. of Alberta, Edmonton
fYear
2006
fDate
10-13 Dec. 2006
Firstpage
300
Lastpage
303
Abstract
Method of quasilinear approximation is applied to investigate the sinusoidal oscillations obtained in emitter-coupled multivibrators. The amplitude and frequency are found, and frequency decreasing occurring in development of oscillation from the starting point to steady state is explained. The transition from sinusoidal to relaxation oscillations is explained by the modification of the phase plane partitioning when the coupling capacitance is varying. The jumps of the describing point in the phase plane help to understand the difficulties occurring in simulation of multivibrators. Finally, the formula for calculation of frequency in relaxation oscillations is given. All results are verified in simulations.
Keywords
multivibrators; relaxation oscillators; emitter coupled multivibrators; phase plane partitioning; quasilinear approximation; relaxation oscillations; sinusoidal oscillations; van der Pol equations; Capacitance; Capacitors; Circuit simulation; Coupling circuits; Differential equations; Frequency; Laboratories; Limit-cycles; Stability; Steady-state; Emitter-coupled multivibrators; relaxation oscillations; sinusoidal oscillations; van der Pol equations;
fLanguage
English
Publisher
ieee
Conference_Titel
Electronics, Circuits and Systems, 2006. ICECS '06. 13th IEEE International Conference on
Conference_Location
Nice
Print_ISBN
1-4244-0395-2
Electronic_ISBN
1-4244-0395-2
Type
conf
DOI
10.1109/ICECS.2006.379785
Filename
4263363
Link To Document