Accuracy Comparison of Existing 3 Models in Estimating Time-Varying Variance of Phase Deviation of a Simple Planar Oscillator

- Journal title : Journal of IKEEE
- Volume 19, Issue 4, 2015, pp.500-505
- Publisher : Institude of Korean Electrical and Electronics Engineers
- DOI : 10.7471/ikeee.2015.19.4.500

Title & Authors

Accuracy Comparison of Existing 3 Models in Estimating Time-Varying Variance of Phase Deviation of a Simple Planar Oscillator

Jeon, Man-Young;

Jeon, Man-Young;

Abstract

Through Montecarlo simulation, this study compares how accurately the existing three phase deviation models estimate the time-varying variance of a planar oscillator perturbed by Gaussian noises. The comparison reveals that Kaertner model estimates the time-varying variance with about 1000 times higher accuracy than ISF or PP model exhibits. Additionally, it finds that the estimation accuracy of PP model is somewhat higher than that of ISF model.

Keywords

Phase Deviation;Phase Shift;Timing Shift;Jitter;Phase Noise;Planar Oscillator;

Language

Korean

References

1.

F. X. Kaertner, "Determination of the correlation spectrum of oscillators with low noise," IEEE Trans. Microwave Theory Tech., vol. MTT-37, pp. 90-101, Jan. 1989.

2.

F. X. Kaertner, "Analysis of white $f^{\alpha}$ noise in oscillators," Int J . of Circuit Theory and Applications, vol. 18, pp. 485-519, 1990.

3.

A. Hajimiri and T. H. Lee, "A general theory of phase noise in electrical oscillators," IEEE J . Solid-State Circuits, vol. SC-33, pp. 179-194, Feb. 1998.

4.

A. Demir, A. Mehrotra, and J. Roychowdhury, "Phase noise in oscillators: a unifying theory and numerical methods for characterization," IEEE Trans. Circuits Syst.-I, vol. 47, pp. 655-674, May 2000.

5.

M.-Y. Jeon, D.-R. Lee, "Roles and limitations of two widely publicized equations in predicting phase shift impulse response of a simple 2-D oscillator," Proc. of IEEE ISCAS 2010, pp. 4277-4280, Paris, May 2010.

6.

M.-Y. Jeon, "Analytical investigation of phase shift impulse response of three existing phase shift models using a simple planar oscillator," IEICE Electronics Express, vol. 11, no. 12, pp. 1-11, May 2014.

7.

M.-Y. Jeon, "Evaluations of three phase shift models in describing phase shift impulse train response of a simple planar oscillator," J. of The Korea Institute of Electronic Communication Sciences, vol. 9, no. 8, pp. 861-866, Aug. 2014.

8.

D. Ham and A. Hajimiri, "Virtual damping and Einstein relation in oscillators," IEEE J . Solid-State Circuits, vol. SC-38, pp. 407-418, March 2003.

9.

A. Hajimiri and T. H. Lee, The Design of Low Noise Oscillators. Boston, MA: Kluwer Academic, 1999.