Selective determination of floquet quantities for the efficient assessment of limit cycle stability and oscillator noise

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems

Volumn 32, Issue 2, 2013, Pages 313-317

  Traversa, Fabio L ^a   Bonani, Fabrizio ^b  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

Circuit simulation; Floquet theory; frequency domain analysis

Indexed keywords

ADJOINTS; APPROXIMATE COMPUTATION; DIFFERENTIAL ALGEBRAIC EQUATIONS; EIGENVALUE PROBLEM; FLOQUET; FLOQUET EXPONENTS; FLOQUET THEORY; LIMIT CYCLE; OSCILLATOR NOISE; SELECTIVE DETERMINATION; TIME FREQUENCY DOMAIN;

CIRCUIT SIMULATION; DIFFERENTIAL EQUATIONS; FREQUENCY DOMAIN ANALYSIS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 84873826243     PISSN: 02780070     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCAD.2012.2214480     Document Type: Article

References (19)

1. F. L. Traversa, F. Bonani, and S. D. Guerrieri, "A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations," Int. J. Circuit Theory Applicat., vol. 36, no. 4, pp. 421-439, 2008.
2. F. L. Traversa, F. Cappelluti, F. Bonani, and G. Ghione, "Assessment of thermal instabilities and oscillations in multifinger heterojunction bipolar transistors through a harmonic-balance-based CAD-oriented dynamic stability analysis technique," IEEE Trans. Microw. Theory Tech., vol. 57, no. 12, pp. 3461-3468, Dec. 2009.
3. -α noise in oscillators," Int. J. Circuit Theory Applicat., vol. 18, no. 5, pp. 485-519, 1990.
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, Fundam. Theory Applicat., vol. 57, no. 5, pp. 655-674, May 2000.
5. P. Maffezzoni, "Unified computation of parameter sensitivity and signal-injection sensitivity in nonlinear oscillators," IEEE Trans. Comput.-Aided Design Integr. Circuits Syst., vol. 27, no. 5, pp. 781-790, May 2008. (Pubitemid 351596162)
6. T. Djurhuus, V. Krozer, J. Vidkjaer, and T. Johansen, "Oscillator phase noise: A geometrical approach," IEEE Trans. Circuits Syst. I, Reg. Paper, vol. 56, no. 7, pp. 1373-1382, Jul. 2009.
7. F. L. Traversa and F. Bonani, "Oscillator noise: A nonlinear perturbative theory including orbital fluctuations and phase-orbital correlation," IEEE Trans. Circuits Syst. I, Reg. Paper, vol. 58, no. 10, pp. 2485-2497, Oct. 2011.
8. A. Demir, "Floquet theory and non-linear perturbation analysis for oscillators with differential-algebraic equations," Int. J. Circuit Theory Applicat., vol. 28, no. 2, pp. 163-185, 2000. (Pubitemid 33034037)
9. J. Guckenheimer and B. Meloon, "Computing periodic orbits and their bifurcations with automatic differentiation," SIAM J. Sci. Comput., vol. 22, no. 3, pp. 951-985, 2000. (Pubitemid 32548796)
10. K. Lust, "Improved numerical Floquet multipliers," Int. J. Bifurcat. Chaos, vol. 11, no. 9, pp. 2389-2410, Sep. 2001.
11. A. Demir and J. Roychowdhury, "A reliable and efficient procedure for oscillator PPV computation, with phase noise macromodeling applications," IEEE Trans. Comput.-Aided Design Integr. Circuits Syst., vol. 22, no. 2, pp. 188-197, Feb. 2003.
12. A. Brambilla and G. Storti Gajani, "Computation of all Floquet eigen-functions in autonomous circuits," Int. J. Circuit Theory Applicat., vol. 36, nos. 5-6, pp. 717-737, 2008.
13. K. Kundert, "Introduction to RF simulation and its application," IEEE J. Solid-State Circuits, vol. 34, no. 9, pp. 1298-1319, Sep. 1999. (Pubitemid 129594572)
14. A. Brambilla, G. Gruosso, and G. Storti Gajani, "Determination of Flo-quet exponents for small-signal analysis of nonlinear periodic circuits," IEEE Trans. Comput.-Aided Design Integr. Circuits Syst., vol. 28, no. 3, pp. 447-451, Mar. 2009.
15. F. L. Traversa and F. Bonani, "Frequency domain evaluation of the adjoint Floquet eigenvectors for oscillator noise characterization," IET Circuits Devices Syst., vol. 5, no. 1, pp. 46-51, 2011.
16. F. L. Traversa and F. Bonani, "Improved harmonic balance implementation of Floquet analysis for nonlinear circuit simulation," AEÜ-Int. J. Electron. Commun., vol. 66, no. 5, pp. 357-363, May 2011.
17. C. Meyer, Matrix Analysis and Applied Linear Algebra. Philadelphia, PA: SIAM, 2000.
18. F. L. Traversa and F. Bonani, 2011, unpublished.
19. K. Kundert, A. Sangiovanni-Vincentelli, and J. White, Steady-State Methods for Simulating Analog and Microwave Circuits. Boston, MA: Kluwer, 1990.