Analog Integrated Circuits and Signal Processing

, Volume 66, Issue 1, pp 139–141 | Cite as

On the Barkhausen and Nyquist stability criteria

Mixed Signal Letter

Abstract

A recently published paper (Singh, Analog Integr Circuit Signal Process, 62:327–332, 2010) dealing with the relationship between the Barkhausen condition for oscillation and the well known Nyquist stability criterion for systems with feedback is highly appreciated. However, it seems to be necessary to place some comments on it. The circuit examples presented in the cited paper as well as the conclusions will be critically reviewed. Apparently, there is still no sufficient oscillation condition. Therefore, the necessity to complete the existing oscillation criterion with a sufficient condition is emphasized.

Keywords

Barkhausen criterion Condition of oscillation Feedback Nyquist stability criterion Oscillators Stability 

References

  1. 1.
    Singh, V. (2010). Discussion on Barkhausen and Nyquist criteria. Analog Integrated Circuits and Signal processing, 62, 327–332.CrossRefGoogle Scholar
  2. 2.
    Singh, V. (2006). A note on determination of oscillation startup condition. Analog Integrated Circuits and Signal processing, 48, 251–255.CrossRefGoogle Scholar
  3. 3.
    Singh, V. (2007). Failure of Barkhausen oscillation building up criterion: Further evidence. Analog Integrated Circuits and Signal processing, 50, 127–132.CrossRefGoogle Scholar
  4. 4.
    Wang, H., Huang, C., & Liu, Y. (2007). Comment: A note on determination of oscillation startup condition. Analog Integrated Circuits and Signal processing, 51, 57–58.CrossRefGoogle Scholar
  5. 5.
    He, F., Ribas, R., Lahuec, C., & Jézéquel, M. (2008). Discussion on the general oscillation startup condition and the Barkhausen criterion. Analog Integrated Circuits and Signal processing, 59, 215–221.CrossRefGoogle Scholar
  6. 6.
    Lindberg, E. (2010). The Barkhausen Criterion (Observation?). 18th IEEE Workshop on Nonlinear Dynamics of Electronic Systems (NDES) 2010, Dresden, May 26–28, 2010.Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.University of Applied Sciences BremenBremenGermany

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