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http://dx.doi.org/10.13067/JKIECS.2012.7.4.855

Analytical Proof of Conservation of Power in the LTV Phase Noise Theory for Noisy Oscillators  

Jeon, Man-Young (동양대학교 정보통신공학과)
Publication Information
The Journal of the Korea institute of electronic communication sciences / v.7, no.4, 2012 , pp. 855-859 More about this Journal
Abstract
This study derives a generalized PSD formula in the LTV phase noise theory for noisy oscillators. The derived formula analytically proves that the LTV phase noise theory can predict the conservation of the power in the noisy oscillation signals. Additionally, the derived formula allows the theory to account for the behavior of the power spectrum over the entire frequency range including the regions around higher harmonics as well as fundamental frequency.
Keywords
Conservation of Power in Oscillators; Phase Noise; PSD of Oscillation Signals; Noisy Oscillators;
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1 A. Hajimiri and T. H. Lee, The Design of Low Noise Oscillators, Boston, MA: Kluwer Academic, 1999.
2 T. H. Lee and A. Hajimiri, "Oscillator phase noise: a tutorial," IEEE J. Solid-State Circuits, Vol. 35, No. 3, pp. 326-336, March, 2000.   DOI
3 P. Andreani, X. Wang, L. Vandi, and A. Fard, "A study of phase noise in Colpitts and LC-tank CMOS oscillators," IEEE J. Solid-State Circuits, Vol. 40, No. 5, May 2005.
4 A. Demir, Analysis and simulation of noise in nonlinear electronic circuits and systems, Ph. D. Thesis, University of California, Berkeley, May 1997.
5 A. Demir and A. L. Sangiovanni-Vincentelli, Analysis and simulation of noise in nonolinear electric circuits and systems, Kluwer Academic Publications, 1998.
6 A. Demir, "Phase noise in oscillators," Proc. of Int. Conf. on CAD, pp. 170-177, Nov. 1998.
7 A. Demir, A. Mehrotra, and J. Roychowdhury, "Phase noise in oscillators: a unifying theory and numerical methods for characterization," Proc. of ACM/IEEE Design Automation Conf., pp. 26-31, June 1998.
8 A. Demir et al., "Phase noise in oscillators: a unifying theory and numerical methods for characterization," IEEE Trans. Circuits Syst.-I, Vol. 47, pp. 655-674, May, 2000.
9 A. Demir, "Floquet theory and non-linear perturbation analisis for oscillators with differential-algebraic equations," Int. J. Circ. Theor. Appl., Vol. 28, pp, 163-185, 2000.   DOI
10 A. Demir, "Phase noise and timing jitters in oscillators with colored-noise sources," IEEE Trans. on Circuits and Sistems-Ι: fudamental theory and applications, Vol. 49, No. 12, Dec. 2002.
11 A. Demir and J. Roychowdhury, "A reliable and efficient procedure for oscillator PPV computation with phase noise macromodelinf applications," IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems, Vol. 22, No. 2, pp. 188-197, Feb., 2003.   DOI
12 A. Demir and A. L. Sangiovanni-Vincentelli, "Simulation and modeling of phase noise in open-loop oscillators," Proc. of IEEE Custom Integrated Circuits Conf., pp. 453-456, 1996.
13 A. Demir, "Oscillator noise analysis," Proc. of Int. Conf. on noise and fluctuations 2005, pp. 499-504, 2005.
14 D. Ham and A. Hajimiri, "Virtual damping and Einstein relation in oscillators," IEEE J. Solid-State Circuits, Vol. 38, No.3, pp. 407-418, March, 2003.   DOI
15 A. Hajimiri and T. H. Lee, "A general theory of phase noise in electrical oscillators," IEEE J. Solid-State Circuits, Vol. 33, No. 2, pp. 179-194, Feb. 1998.   DOI
16 A. Hajimiri, S. Limotyrakis, and T. H. Lee, "Jitter and phase noise in ring oscillators," IEEE J. Solid-State Circuits, Vol. 34, No. 6, pp. 790-804, June 1999.   DOI