Derivation of Floquet Eigenvectors Displacement for Optimal Design of LC Tank Pulsed Bias Oscillators

References

[1] G. J. Coram, “A Simple 2-D Oscillator to Determine the Correct Decomposition of Perturbations into Amplitude and Phase Noise,” IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, Vol. 48, No. 7, July 2001, pp. 896-898.
doi:10.1109/81.933331

[2] Affirma? RF Simulator (SpectreRF?) User Guide, Product Version 4.4.6, June 2000, pp. 696-699.

[3] F. O’Doherty and J. P. Gleeson, “Phase Diffusion Coefficient for Oscillators Perturbed by Colored Noise,” IEEE Transactions on Circuits and Sys-tems-II: Express Briefs, Vol. 54, No. 5, May 2007, pp. 435-439.

[4] T. Djurhuus, V. Krozer, J. Vidkjaer and T. K. Johansen, “Oscillator Phase Noise: A Geometrical Approach,” IEEE Transactions on Circuits and Systems-I: Regular Papers, Vol. 56, No. 7, July 2009, pp. 1373-1382.
doi:10.1109/TCSI.2008.2006211

[5] F. X. Kaertner, “Analysis of White And f-α Noise in Oscillators,” Inter-national Journal of Circuit and Theory Applications, Vol. 18, No. 5, March 1990, pp. 485-519.
doi:10.1002/cta.4490180505

[6] T. H. Lee and A. Ha-jimiri, “Oscillator Phase Noise: A Tutorial,” IEEE Journal of Solid-State Circuits, Vol. 35, No. 6, March 2000, pp. 326-336. doi:10.1109/4.826814

[7] A. Demir, “Floquet Theory and Non-Linear Perturbation Analysis Foroscillators with Differential-Algebraic Equations,” International Journal of Circuit and Theory Applications, Vol. 28, No. 2, March 2000, pp. 163-185.
doi:10.1002/(SICI)1097-007X(200003/04)28:2<163::AID-CTA101>3.0.CO;2-K

[8] A. Demir, A. Mehrotra and J. S. Roychowdhury, “Phase Noise in Oscillators: A Uni-fying Theory and Numerical Methods for Characteriza-tion,” IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, Vol. 47, No. 5, May 2000, pp. 655-674.
doi:10.1109/81.847872

[9] A. Buonomo, “Nonlinear Analysis of Voltage-Controlled Oscillators: A Systematic Approach,” IEEE Transaction on Circuit and Systems-I: Regular Papers, Vol. 55, No. 6, June 2008, pp. 1659-1670.

[10] A. Carbone, A. Brambilla and F. Palma, “Using Floquet Eigenvectors in the Design of Electronic Oscillators,” 2005 IEEE 7th CAS Symposium on Emerging Technologies: Circuits and Systems for 4G Mobile Wireless Communications, St. Petersburg, 23-24 June 2005, pp. 100-103.

[11] A. Carbone and F. Palma, “Considering Orbital Deviations on the Evaluation of Power Density Spectrum of Oscillators,” IEEE Transac-tions on Circuits and Systems-II: Express Briefs, Vol. 53, No. 6, June 2006, pp. 438-442.

[12] B. Razavi, “A Study of Phase Noise in CMOS Oscillators,” IEEE Journal of Solid-State Circuits, Vol. 31, No. 3, March 1996, pp. 331-343.
doi:10.1109/4.494195

[13] R. Aparicio and A. Hajimiri, “A Noise-Shifting Differential Colpitts VCO,” IEEE Journal of Solid-State Circuits, Vol. 37, No. 12, December 2002, pp. 1728-1736.
doi:10.1109/JSSC.2002.804354

[14] S. K. Magierowski and S. Zukotynski, “CMOS LC-Oscillator Phase Noise Analysis Using Nonlinear Models,” IEEE Transactions on Circuits and Systems-I: Regular Papers, Vol. 51, No. 4, April 2004, pp. 664-677.
doi:10.1109/TCSI.2004.826209

[15] T. H. Lee, “Design of CMOS Radio-Frequency Integrated Circuits,” Cam-bridge Press, Cambridge, 1998, pp. 669-677.

[16] A. Carbone and F. Palma, “Discontinuity Correction in Piecewise-Linear Models of Oscillators for Phase Noise Characterization,” International Journal of Circuit Theory and Applications, Vol. 35, No. 1, 2007, pp. 93-104. doi:10.1002/cta.383

[17] R. I. Leine, D. H. Van Campen and B. L. Van der Vrande, “Bifurcations in Nonlinear Discontinuous Systems,” Nonlinear Dynamics, Vol. 23, No. 2, October 2000, pp. 105-164. doi:10.1023/A:1008384928636

[18] M. Aleksic, N. Ne-dovic K. W. Current and V. G. Oklobdzija, “Jitter Analy-sis of Nonautonomous MOS Current-Mode Logic Cir-cuits,” IEEE Transaction on Circuit and Systems-I: Regular Papers, Vol. 55, No. 10, November 2008, pp. 3038-3049.

[19] S. Perticaroli and F. Palma, “Phase and Quadrature Pulsed Bias LC-CMOS VCO,” SCIRP Circuit and Systems, Vol. 2, No. 1, January 2011, pp. 18-24.
doi:10.4236/cs.2011.21004