Abstract
The major objective of this Chapter are to give an introduction into modern theory of sine wave oscillators, to explain the main problems in construction of self-oscillating systems, to determine the conditions for excitation and establishment of stable periodic oscillation in such systems, and to acquaint with the principles of practical oscillator circuit design. To become familiar with the presented material, the reader should have the initial knowledge of operational amplifiers and the methods of solution for differential and operator equations within the course of high mathematics. After studying this Chapter, the readers will know and be able to explain the operation of an oscillator, determine the conditions of excitation of periodic self-oscillations in it, and to know the methods for decrease of nonlinear distortions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Certainly, this sharing of functions is quite conditional and suitable only for free-running oscillating systems generating sine wave oscillations. For other waveforms of oscillations, the frequency can be determined by linear and nonlinear elements.
- 2.
It should be noted that in oscillators of other waveform of signals these contradictions are not so pronounced.
- 3.
It should be noted that the phase plane represents signals ambiguously. For example, the same form of the limit cycle (see Fig. 5.5) can correspond not only to the sine wave, but also to the other signal waveform. The matter is that the phase plane does not represent the velocity of the image point.
- 4.
The terms increment and decrement mean, respectively, increase or decrease (damping).
- 5.
Quartz is a natural or artificial mineral having the piezoelectric properties.
- 6.
Hereinafter, AE is assumed to be an idealized controlled source with the frequency-independent transfer factor.
- 7.
Here, the basic coupling is any known coupling of LFDC and AE, in which the condition of amplitude and phase balance can be fulfilled.
- 8.
From the viewpoint of the linear theory, such oscillating systems are identical. However, from the viewpoint of practical implementation of active elements, they can differ by the level of nonlinear distortions.
References
Robinson, F.N.H.: Noise and Fluctuations in Electronic Devices and Circuits. Clarendon, Oxford (1974)
Roitman, M.S.: Amplitude-Stable Generators and Adjustable AC Voltage Gages. Tomsk, Tomsk Polytechnic Institute (1977) (in Russian)
Andronov, A.A., Vitt, A.A., Khaikin, S.E.: Theory of Oscillations. Pergamon Press, Oxford (1966)
Barkhausen, H.: Elektronen-Roehen. 3. band: Rückkopplung. In: Hirzel, S. (ed.) 3. Auflage. Verlag, Leipzig (in German) (1934)
Bondarenko, V.G.: RC Sine-Wave Oscillators. Svyaz, Moscow (1976) (in Russian)
Rybin Yu.K., Budeikin V.P., Gertsiger L.N.: Low-frequency RC sine wave oscillators with small of total harmonic distortion. Meas. Control Automation. 2(54), 25–37 (in Russian) (1985)
Rybin Yu.K.: Synthesis of sine-wave oscillators with pulsed amplitude stabilization. Radiotekhnika i Elektronika. 29 (9), 1764–1771 (in Russian) (1984)
Rybin Yu.K.: The analysis and synthesis of oscillations system of electric signal generators. Proc. Tomsk Polytechnic Univ. 317(4), 134–139 (in Russian) (2010)
Volgin, L.I.: Methods of Topological Transformation of Electrical Circuits. Saratov UnivPress, Saratov (1982) (in Russian)
Wangenheim, von L.: Aktive Filter und Oszillatoren: Entwurf und Schaltungstechnik mit integrierten Bausteinen von Springer, Berlin (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Rybin, Y.K. (2012). Sine Wave Oscillators. In: Electronic Devices for Analog Signal Processing. Springer Series in Advanced Microelectronics, vol 33. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2205-7_5
Download citation
DOI: https://doi.org/10.1007/978-94-007-2205-7_5
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-2204-0
Online ISBN: 978-94-007-2205-7
eBook Packages: EngineeringEngineering (R0)