Nonlinear analysis of quadrature LC–VCOs

Author

Buonomo, Antonio ; Schiavo, Alessandro Lo

Author_Institution

Dipt. di Ing. dell´´Inf., Seconda Univ. degli Studi di Napoli, Aversa, Italy

fYear

2009

Firstpage

339

Lastpage

342

Abstract

We present a nonlinear approach based on the perturbation theory to analyze the synchronized oscillations in circuits made up of two coupled LC differential oscillators (LC-VCO), widely used in RF systems to generate quadrature oscillations. Closed-form expressions are derived to predict the amplitude and phase of oscillations and their orbital stability. The capabilities of the method are also briefly highlighted. Finally, the validity of presented formulae was validated by circuit simulations.

Keywords

circuit stability; perturbation theory; radiofrequency oscillators; voltage-controlled oscillators; LC differential oscillator; RF system; circuit simulation; circuit synchronized oscillation analysis; nonlinear analysis; orbital stability; perturbation theory; quadrature LC-VCO; quadrature oscillation; voltage-controlled oscillator; Circuit simulation; Circuit stability; Closed-form solution; Coupling circuits; Differential equations; Frequency synchronization; Nonlinear equations; Radio frequency; Voltage; Voltage-controlled oscillators; coupled-oscillators; frequency synthesizer; quadrature signals; voltage-controlled oscillators (VCO);

fLanguage

English

Publisher

ieee

Conference_Titel

Circuit Theory and Design, 2009. ECCTD 2009. European Conference on

Conference_Location

Antalya

Print_ISBN

978-1-4244-3896-9

Electronic_ISBN

978-1-4244-3896-9

Type

conf

DOI

10.1109/ECCTD.2009.5274978

Filename

5274978