Abstract
The aim of this Chapter is provide an integral conception about up-to-date theory of pulse oscillators, the conditions for excitation of periodic pulsed oscillations in them, and practical principles of oscillator designing.
The material presented is not difficult for reader’s familiar with the basic principles of electronics within the course “Electronics” or “Electronics in Instrument Making,” as well as with the methods of solution of differential and operator equations within the course of Higher Mathematics.
Upon learning this chapter, the readers will be familiar with the oscillator operation and able of determining the conditions for excitation of periodic pulsed self-oscillations.
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Notes
- 1.
Note once again that the phase plane ambiguously represents signals. The same rectangular limit cycle can correspond not only to a square-wave, but also to a trapezoid signal, because the phase plane does not represent the speed of motion of the image point.
- 2.
One could choose any other circuit in the capacity of RC-circuit.
- 3.
About phase plane method and its application in nonlinear systems study in detail see [1].
- 4.
It is clear that amplitude characteristic is individual both for the circuit itself and for its input signal, and its form is invariant only with respect to input signal amplitude.
- 5.
ANE inertia is also introduced to provide finite values of output signal derivatives.
- 6.
In fact, in the qualitative description of the threshold switch the op-amp inertial properties are already taken into account, since without them the GC would not have hysteresis and would vary along the dashed Z – shaped curve (see Fig. 6.8b).
- 7.
For transistor-transistor-logic circuits this voltage is roughly equal to 1.3 V, while for CMOS it is V cc/2.
References
Andronov, A.A., Vitt, A.A., Khaikin, S.E.: Theory of Oscillations. Pergamon Press, Oxford (1966)
Barkhausen, H.: Elektronen-Rochen. 3. band: Rückkopplung, 3. Auflage. S. Hirzel Verlang, Leipzig (1934) (in German)
Rybin, Yu.K.: The condition of reproducing the prescribed shape periodic oscillations in generators. Proc. Tomsk Polytechnic Univ. 316(4), 136–140 (in Russian) (2010)
Rybin, Yu.K.: Electronic Devices for Analog Signal Processing. Students’ Book. Print Manufacture Publishers, Tomsk (2005)
Horovitz, P., Hill, W.: The Art of Electronics. Cambridge University Press, New York (1998)
Tietze, U., Schenk, Ch: Halbleiter-Schaltungstechnik. Springer, Berlin/Heidelberg/New York (1980)
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Rybin, Y.K. (2012). Pulse 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_6
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DOI: https://doi.org/10.1007/978-94-007-2205-7_6
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