Nonlinearity and dynamics in RF Oscillators: Analysis and design implications

Author

Bremer, Jan-K ; Reit, Marco ; Przytarski, Jan ; Mathis, Wolfgang

Author_Institution

Inst. of Theor. Electr. Eng., Leibniz Univ. of Hannover, Hannover, Germany

fYear

2010

fDate

May 30 2010-June 2 2010

Firstpage

1324

Lastpage

1327

Abstract

In this paper a novel nonlinear analysis and design approach for VCOs based on modeling the circuit in the higher-dimensional state space is presented. Using the center manifold theorem, we reduce the higher-dimensional system to a two dimensional parameter dependent nonlinear system that maintains the dynamics of the higher-dimensional system. By applying the Andronov-Hopf bifurcation analysis to the reduced system, it is possible to perform a stability analysis and to approximate the amplitude and frequency of the individual state variables. The applicability of the method is verified by designing and analyzing a 2.4 GHz VCO using a 0.25 μm RF CMOS technology.

Keywords

CMOS integrated circuits; radiofrequency integrated circuits; radiofrequency oscillators; voltage-controlled oscillators; Andronov-Hopf bifurcation analysis; RF CMOS technology; RF oscillators; VCO; center manifold theorem; frequency 2.4 GHz; high-dimensional state space; individual state variables; size 0.25 mum; stability analysis; two dimensional parameter dependent nonlinear system; Bifurcation; CMOS technology; Circuits; Nonlinear dynamical systems; Nonlinear systems; Oscillators; Performance analysis; Radio frequency; Stability analysis; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems (ISCAS), Proceedings of 2010 IEEE International Symposium on

Conference_Location

Paris

Print_ISBN

978-1-4244-5308-5

Electronic_ISBN

978-1-4244-5309-2

Type

conf

DOI

10.1109/ISCAS.2010.5537252

Filename

5537252