Title :
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
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);
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
DOI :
10.1109/ECCTD.2009.5274978
