A Simple and Accurate Formula for Oscillating Amplitude of CMOS LC Differential Oscillator

Authors

  • Nikorn Hen- ngam Department of Information Technology, Faculty of Industrial Technology, Ubon Ratchathani Rajabhat University
  • Jirayuth Mahatanakul Department of Electronics Engineering, Mahanakorn University of Technology Nongchok

DOI:

https://doi.org/10.37936/ecti-eec.2015131.170938

Abstract

The conventional formula for the oscillation amplitude of the CMOS LC differential oscillator was derived under the assumption that the current from sourced coupled pair flowing though LC tank is a square wave. This is not in line with the real situation and the obtained formula is independent of the MOSFET parameters. In this paper, aderivation of a simple and accurate expression for oscillating amplitude of CMOS LC differential oscillator in which the current from sourced coupled pair is assumed to be clipped sinusoid is presented. By comparing to the simulation results, it was found that the new expression of oscillating amplitude is more accurate than the widely used conventional expression.

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References

[1] B. Razavi, "RF Microelectronics," Englewood Cliffs, NJ: Prentice, 1997.

[2] A. Abidi, J. Rael, and E. Hegazi, "The designer's guide to high-purity oscillators," Kluwer Academic Publihers, New York, 2005.

[3] A. Hajimiri and T. H. Lee, "A general theory of phase noise in electrical oscillators," IEEE J. Solid State Circuits, vol. SC-33, no.2, pp. 179-194, Feb. 1998.

[4] A. Hajimiri and T. H. Lee, "Phase noise in CMOS dierential LC oscillators," in IEEE Proc. VLSI Circuits, 1998, pp. 48-51.

[5] C. Samori, A. L. Lacaita, F. Villa, and F. Zappa, "Spectrum folding and phase noise in LC tuned oscillators," IEEE Trans. Circuits Syst.II: Analog Digital Signal Process., vol. 45, no.7, pp. 781-790, 1998.

[6] B. Razavi, "Design of Analog CMOS integrated circuits," MacGraw-Hill, 2001.

[7] D. Johns and K. Martin, "Analog integrated circuit design," Wiley, NewYork, 1997.

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Published

2015-01-20

How to Cite

Hen- ngam, N., & Mahatanakul, J. (2015). A Simple and Accurate Formula for Oscillating Amplitude of CMOS LC Differential Oscillator. ECTI Transactions on Electrical Engineering, Electronics, and Communications, 13(1), 18–25. https://doi.org/10.37936/ecti-eec.2015131.170938

Issue

Vol. 13 No. 1 (2015): Regular Issue

Section

Circuits and Systems

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