Details

Title

On Noise Analysis of Oscillators Based on Statistical Mechanics

Journal title

International Journal of Electronics and Telecommunications

Yearbook

2010

Volume

vol. 56

Issue

No 4

Authors

Divisions of PAS

Nauki Techniczne

Publisher

Polish Academy of Sciences Committee of Electronics and Telecommunications

Date

2010

Identifier

DOI: 10.2478/v10177-010-0047-7 ; eISSN 2300-1933 (since 2013) ; ISSN 2081-8491 (until 2012)

Source

International Journal of Electronics and Telecommunications; 2010; vol. 56; No 4

References

Mathis W. (2005), Encyclopedia of RF and Microwave Engineering, 4. ; Mathis W. (2003), Modeling, Simulation and Optimization of Integrated Circuits, ser. Series of Numerical Mathematics, 146, 269, doi.org/10.1007/978-3-0348-8065-7_17 ; Mathis W. (2006), Springer Proceedings Physics. ; Leeson D. (1966), A simple model of feedback oscillator noise spectrum, Proceedings of the IEEE, 54, 329. ; Lax M. (1967), Classical noise. V. Noise in self-sustained oscillators, Physical Review, 160, 290. ; Kärtner F. (1990), Analysis of white and <i>f</i><sup>-α</sup> noise in oscillators, International Journal of Circuit Theory and Applications, 18, 485. ; Demir A. (1998), Analysis and Simulation of Noise in Nonlinear Electronic Circuits and Systems. ; Hajimiri A. (1999), The Design of Low Noise Oscillators. ; Hong S.-M. (2006), Physics-based analysis and simulation of phase noise in oscillators, IEEE Transactions on Electron Devices, 53, 9, 2195. ; Weiss L. (1998), A thermodynamical approach to noise in nonlinear networks, International Journal of Circuit Theory and Applications, 26, 147. ; Schottky W. (1918), Ü ber spontane Stromschwankungen in verschiedenen Elektrizitätsleitern, Annalen der Physik, 57, 541. ; Johnson J. (1922), Bemerkungen zur Bestimmung des elektrischen Elementarquantums aus dem Schroteffekt, Annalen der Physik, 67, 154. ; Schottky W. (1920), Experimentelle Untersuchung des Schroteffektes in Glühkathodenröhren, Zeitschrift für Physik, 2, 206. ; Nyquist H. (1928), Thermal agitation of electric charge in conductors, Physical Review, 32, 110. ; Johnson B. (1927), Thermal agitation of electricity in conductors, Nature, 119, 50. ; Johnson B. (1928), Thermal agitation of electricity in conductors, Physical Review, 32, 95, doi.org/10.1103/PhysRev.32.97 ; Einstein A. (1906), Zur Theorie der Brownschen Bewegung, Annalen der Physik, 19, 371. ; G. deHaas Lorentz (1913), Die Brownsche Bewegung und einige verwandte Erscheinungen, doi.org/10.1007/978-3-322-99070-9 ; Mataré H. (1943), Brownsche Bewegung und Widerstandsrauschen, Annalen der Physik, 435, 271. ; Kolmogoroff A. (1933), Grundbegriffe der Wahrscheinlichkeitsrechnung, doi.org/10.1007/978-3-642-49888-6 ; Khintchine A. (1934), Korrelationstheorie der stationären stochastischen Prozesse, Mathematische Annalen, 109, 604. ; Wiener N. (1930), Generalized harmonic analysis, Acta Mathematica, 55, 117. ; Kramers H. (1940), Brownian motion in a field of force and the diffusion model of chemical reactions, Physica, 7, 284. ; MacDonald D. (1957), Brownian movement, Physical Review, 108, 541. ; Stratonovich R. (1967), Topics in the Theory of Random Noise I+II. ; N. van Kampen (1963), Thermal fluctuations in nonlinear systems, Journal of Mathematical Physics, 4, 190. ; N. van Kampen (1997), Stochastic Processes in Physics and Chemistry. ; Stratonovich R. (1993), Nonlinear Nonequilibrium Thermodynamics I: Linear and Nonlinear Fluctuation-Dissipation Theorems: Linear and Nonlinear Fluctuation, 1. ; Weiss L. (1998), Irreversible thermodynamics and thermal noise of nonlinear networks, COMPEL, 17, 635, doi.org/10.1108/03321649810220964 ; Haken H. (2004), Synergetics, doi.org/10.1007/978-3-662-10184-1 ; Arnold L. (1997), The unfoldings of dynamics in stochastic analysis, Comput. Appl. Math, 16, 3. ; N. van Kampen (1981), Ito versus Stratonovich, Journal of Statistical Physics, 24, 175. ; N. van Kampen (1981), The validity of nonlinear langevin equations, Journal of Statistical Physics, 25, 431. ; Weiss L. (1999), Rauschen in nichtlinearen elektronischen Schaltungen und Bauelementen - ein thermodynamischer Zugang. ; Casimir H. (1951), On onsager's principle of microscopic reversibility, Reviews of Modern Physics, 83, 34. ; Brayton R. (1964), A theory of nonlinear networks - I and II, Quarterly of Applied Mathematics, 22, 1, doi.org/10.1090/qam/169746 ; Wyatt J. (1999), Nonlinear device noise models: Satisfying the thermodynamic requirements, IEEE Transactions on Electron Devices, 46, 184. ; Weiss L. (1999), A thermodynamic noise model for nonlinear resistors, IEEE Electron Device Letters, 20, 402. ; A. van der Ziel (1962), Thermal noise in field-effect transistors, Proceedings of the IRE, 50, 1808. ; Jordan D. (2007), Nonlinear Ordinary Differential Equations. ; Ebeling W. (2005), Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems, doi.org/10.1142/2012 ; Philippow E. (1992), Analyse nichtlinearer dynamischer Systeme der Elektrotechnik. ; Klimontovich Y. (1991), Turbulent Motion and the Structure of Chaos: The New Approach to the Statistical Theory of Open Systems. ; Ebeling W. (2000), Stochastic Processes in Physics, Chemistry, and Biology (Lecture Notes in Physics). ; Langley R. (1988), Application of the principle of detailed balance to the random vibration of non-linear oscillators, Journal of Sound und Vibration, 125, 85. ; Miguel M. (1980), Limit cycles and detailed balance in Fokker-Planck equations, Zeitschrift für Physik B - Condensed Matter, 40, 167. ; Daffertshofer A. (1998), Effects of noise on the phase dynamics of nonlinear oscillators, Physical Review, 58, 1. ; Kloeden P. (1994), Numerical Solution of SDE Through Computer Experiments, doi.org/10.1007/978-3-642-57913-4 ; Risken H. (1989), The Fokker-Plack Equation, doi.org/10.1007/978-3-642-61544-3 ; Bogoliubov N. (1961), Asymptotic Methods in the Non-Linear Oscillations. ; Dörfel G. (2005), Von Albert Einstein bis Norbert Wiener - frühe Ansichten und späte Einsichten zum Phänomen des elektronischen Rauschens, ser, 301. ; Ebeling W. (2008), On stochastic dynamics in physics - remarks on history and terminology, Acta Physica Polonica B, 39, 1003. ; Magierowski S. (2004), CMOS LC-oscillator phasenoise analysis using nonlinear models, IEEE Transactions on Circuits and Systems I: Regular Papers, 51, 664.

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