Title :
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
fDate :
May 30 2010-June 2 2010
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;
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
DOI :
10.1109/ISCAS.2010.5537252
