Phase Space Decomposition for Phase Noise and Synchronization Analysis of Planar Nonlinear Oscillators

被引：21

作者：

Bonnin, Michele ^{[1
]}

Corinto, Fernando ^{[1
]}

Gilli, Marco ^{[1
]}

机构：

[1] Politecn Torino, Dept Elect & Telecommun, I-10129 Turin, Italy

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2012年 / 59卷 / 10期

关键词：

Floquet theory; nonlinear circuits; nonlinear oscillators; phase models; INJECTION LOCKING; COMPUTATION;

D O I：

10.1109/TCSII.2012.2213363

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Synchronization phenomena, frequency shift, and phase noise are often limiting key factors in the performances of oscillators. The perturbation projection method allows characterizing how the oscillator's output is modified by these disturbances. In this brief, we discuss the appropriate decomposition of perturbations for synchronization and phase noise analysis of planar nonlinear oscillators. We derive analytical formulas for the vectors spanning the directions along which the perturbations have to be projected. We also discuss the implications of this decomposition in control theory and to what extent a simple orthogonal projection is correct.

引用

页码：638 / 642

页数：5

共 19 条

[1] Computation of period sensitivity functions for the simulation of phase noise in oscillators [J].

Brambilla, A ;

Maffezzoni, P ;

Gajani, GS .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (04) :681-694

[2] BIFURCATIONS OF NONLINEAR OSCILLATIONS AND FREQUENCY ENTRAINMENT NEAR RESONANCE [J].

CHICONE, C .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (06) :1577-1608

[3] An analysis of phase noise and Fokker-Planck equations [J].

Chow, Shui-Nee ;

Zhou, Hao-Min .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 234 (02) :391-411

[4] Phase noise in oscillators: A unifying theory and numerical methods for characterization [J].

Demir, A ;

Mehrotra, A ;

Roychowdhury, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (05) :655-674

[5] A reliable and efficient procedure for oscillator PPV computation, with phase noise macromodeling applications [J].

Demir, A ;

Roychowdhury, J .

IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 2003, 22 (02) :188-197

[6] Phase noise and timing jitter in oscillators with colored-noise sources [J].

Demir, A .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (12) :1782-1791

[7] Oscillator Phase Noise: A Geometrical Approach [J].

Djurhuus, Torsten ;

Krozer, Viktor ;

Vidkjaer, Jens ;

Johansen, Tom K. .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2009, 56 (07) :1373-1382

[8] A general theory of phase noise in electrical oscillators [J].

Hajimiri, A ;

Lee, TH .

IEEE JOURNAL OF SOLID-STATE CIRCUITS, 1998, 33 (02) :179-194

[9]

Jakubczyck B., 2001, MATH CONTROL THEOR 1

[10]

Jakubczyck B., 2001, MATH CONTROL THEOR 2

← 1 2 →