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

fYear

2010

fDate

June 30 2010-July 2 2010

Firstpage

1772

Lastpage

1776

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;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2010

Conference_Location

Baltimore, MD

ISSN

0743-1619

Print_ISBN

978-1-4244-7426-4

Type

conf

DOI

10.1109/ACC.2010.5531471

Filename

5531471