NDLI: Elementary amplitude and distortion evaluation in Wien and phase shift oscillators

Content Provider	IEEE Xplore Digital Library
Author	Malhame, R.P.
Copyright Year	2002
Description	Author affiliation: Electr. & Comput. Eng. Dept., Ecole Polytechnique de Montreal, Que., Canada (Malhame, R.P.)
Abstract	Oscillator theory is typically introduced to undergraduate electrical engineers using a quasilinear analysis based on transfer functions for what is, by essence, a nonlinear phenomenon. For negative resistance oscillators, a more rigorous treatment based on differential equations is presented in L.O. Chua et al. (1987), and while it sheds a significant amount of light on the nonlinear dynamics involved, it fails to give an elementary treatment of what is after all the essential difficulty in low distortion sinusoidal oscillator theory: amplitude and distortion evaluation. In this work, under an assumption of low distortion, we compute an asymptotic approximation of the amplitude of oscillation based on an elementary analysis of the evolution of the total energy stored in energy storing circuit elements over a cycle, for both Wien and phase shift oscillators. Interestingly, we show that amplitudes in both oscillators are characterized by very similar transcendental equations involving appropriately defined normalized variables. Also, the procedure herein proposed appears to be generalizable to arbitrary types of low distortion sinusoidal oscillators.
Sponsorship	IEEE IEEE Electron Device Soc. Lebanese Nat. Council for Sci. Res. American Univ. Beirut Notre-Dame Univ. Univ. Waterloo Ecole Polytechique de Montreal Mentor Graphics M+W Zender TAC MEICO
Starting Page	140
Ending Page	143
File Size	251116
Page Count	4
File Format	PDF
ISBN	0780375734
DOI	10.1109/ICM-02.2002.1161515
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-12-13
Publisher Place	Lebanon
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Phase distortion Oscillators Nonlinear distortion Frequency Operational amplifiers Transfer functions Electric resistance Differential equations Circuit analysis computing Active circuits
Content Type	Text
Resource Type	Article

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