Abstract
This reply relates to a recently published comment (Wangenheim, Analog Integrated Circuits and Signal Processing 67:117–119, 2011) which discusses the validity of the well known Barkhausen criterion of sinusoidal oscillation. According to the author failure to produce sinusoidal oscillation if real amplifiers are used cannot be described as “failure of the Barkhausen criterion”. This conclusion was reached based on the SPICE simulation of a CFOA-based oscillator circuit. It is shown here that while this result can support the verbal formulation of the Barkhausen criterion, it can not support its widely used mathematical formulation and the results obtained based on it. In fact this widely used mathematical formulation of the Barkhausen criterion can not predict the exact frequency and condition of oscillation of any sinusoidal oscillator circuit.
References
Clarke, K. K., & Hess, D. T. (1971). Communication circuits: Analysis and design. Reading: Addison-Wesley Publishing Company.
Singh, V. (2006). A note on determination of oscillation startup condition. Analog Integrated Circuits and Signal Processing, 48, 251–255.
Singh, V. (2007). Failure of Barkhausen oscillation building up criterion: Further evidence. Analog Integrated Circuits and Signal Processing, 50, 127–132.
Wang, H.-Y., Huang, C. Y., & Liu, Y.-C. (2007). Comment: A note on determination of oscillation startup condition. Analog Integrated Circuits and Signal Processing, 51, 57–58.
He, F., Ribas, R., Lahuec, C., & Jezequel, M. (2009). Discussion on the general oscillation startup and the Barkhausen criterion. Analog Integrated Circuits and Signal Processing, 59, 215–221.
Singh, V. (2010). Discussion on Barkhausen and Nyquist stability criteria. Analog Integrated Circuits and Signal Processing, 62, 327–332.
von Wangenheim, L. (2010). On the Barkhausen and Nyquist stability criteria. Analog Integrated Circuits and Signal Processing, 62, 139–141.
Lindberg, E. (2010). The Barkhausen criterion (Observation?). In Proceedings of the IEEE workshop on nonlinear dynamics of electronic systems (pp. 15–18). Dresden: IEEE.
Abuelma’atti, M. T. (2010). Identification of a class of two CFOA-based sinusoidal RC oscillators. Analog Integrated Circuits and Signal Processing, 65, 419–428.
von Wangenheim, L. (2011). Comment on “Indentification of a class of two CFOA-based sinusoidal RC oscillators”. Analog Integrated Circuits and Signal Processing, 67, 117–119.
Lindberg, E. (2004). Is the quadrature oscillator a multivibrator? IEEE Circuits and Devices Magazine, 20, 23–28.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Abuelma’atti, M.T. Reply to comment on “Identification of a class of two CFOA-based sinusoidal RC oscillators”. Analog Integr Circ Sig Process 71, 155–157 (2012). https://doi.org/10.1007/s10470-011-9778-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10470-011-9778-3