Title :
Nonlinear analysis of ring oscillator circuits
Author :
Xiaoqing Ge ; Arcak, M. ; Salama, K.N.
Author_Institution :
Dept. of Electr., Comput., & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA
fDate :
June 30 2010-July 2 2010
Abstract :
Using nonlinear systems techniques, we analyze the stability properties and synchronization conditions for ring oscillator circuits, which are essential building blocks in digital systems. By making use of its cyclic structure, we investigate local and global stability properties of an n-stage ring oscillator. We present a sufficient condition for global asymptotic stability of the origin and obtain necessity if the ring oscillator consists of identical inverter elements. We then give a synchronization condition for identical interconnected ring oscillators.
Keywords :
circuit stability; invertors; nonlinear network analysis; synchronisation; voltage-controlled oscillators; cyclic structure; digital systems; global stability property; identical interconnected ring oscillator circuit; identical inverter elements; local stability property; n-stage ring oscillator; nonlinear analysis; nonlinear system techniques; synchronization conditions; voltage-controlled oscillators; Asymptotic stability; Circuit stability; Feedback loop; Frequency synchronization; Integrated circuit interconnections; Inverters; Nonlinear systems; Ring oscillators; Stability analysis; Sufficient conditions;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5531471
