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Theory of the Pierce Oscillator

  • Eric Vittoz
Chapter
Part of the Integrated Circuits and Systems book series (ICIR, volume 0)

Abstract

The simplest possible oscillator uses a single active device to generate the required negative resistance. If no inductance is available, the only possibility is the 3-point oscillator developed in 1923 by G. W. Pierce [2, 3]. The principle of this oscillator is depicted in Fig. 4.1. The active device is assumed to be a MOS transistor, but it could be a bipolar transistor as well. The source of the MOS transistor is connected to its substrate, to make it a 3-terminal device. The bias circuitry needed to activate the transistor is omitted here. Capacitors C 1 and C 2 connected between gate and source, respectively drain and source, are functional: they must have finite values in order to obtain a negative resistance across the motional impedance of the resonator.

Keywords

Phase Noise Gate Voltage Bias Current Negative Resistance Strong Inversion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography

  1. 2.
    G. W. Pierce, “Piezoelectric Crystal Resonators and Crystal Oscillators Applied to the Precise Calibration of Wavemeters”, Proc. American Academy of Arts and Sciences, vol. 59, October 1923, pp. 81-106.Google Scholar
  2. 3.
    G. W. Pierce, “Electrical System”, US patent 2,133,642, filed Febr. 25, 1924, issued Oct. 18, 1938.Google Scholar
  3. 8.
    M.R. Spiegel, Complex Variables, Schaum Publishing Co, New York, 1964.zbMATHGoogle Scholar
  4. 18.
    C. Enz and E. Vittoz, Charge-Based MOS Transistor Modeling, John Wiley and Sons, Chichester, 2006.CrossRefGoogle Scholar
  5. 20.
    J. K. Clapp, “An inductive-Capacitive Oscillator of Unusual Frequency Stability”, Proc. IRE, vol. 36, 1948, pp. 356-358.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Ecole Polytechnique Fédérale de Lausanne (EPFL)LausanneSwitzerland

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