Detecting thresholds by means of jump-phenomena

Author

Mohr, Thomas ; Uhlmann, F. Hermann

Author_Institution

Dept. of Fundamentals & Theor. of Electr. Eng., Tech. Hochschule Ilmenau, Germany

Volume

2

fYear

2000

fDate

2000

Firstpage

772

Abstract

In this paper a simple electronic circuit for detecting thresholds of voltage or current signals is presented. The basic idea is to use an typical nonlinear dynamic behavior-the jump phenomenon. This phenomenon is based on the fold-bifurcation. This bifurcation is characterized by two bifurcation points and a parameter range enclosing two stable solutions and one unstable solution. Increasing the parameter steadily, the system quantity changes rapidly by crossing the bifurcation points. This behavior can be used to detect distinctive values of input signals. The resulting electronic circuit consists of a simple structure: an integrator circuit and a feedback loop containing a nonlinear transfer function

Keywords

analogue circuits; bifurcation; circuit feedback; integrating circuits; nonlinear differential equations; nonlinear network synthesis; transfer functions; current signals; electronic circuit; feedback loop; fold-bifurcation; integrator circuit; jump-phenomena; nonlinear dynamic behavior; nonlinear transfer function; stable solutions; thresholds detection; unstable solution; voltage signals; Bifurcation; Capacitors; Circuit synthesis; Electronic circuits; Feedback circuits; Nonlinear circuits; Nonlinear dynamical systems; Nonlinear equations; Resistors; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics, Circuits and Systems, 2000. ICECS 2000. The 7th IEEE International Conference on

Conference_Location

Jounieh

Print_ISBN

0-7803-6542-9

Type

conf

DOI

10.1109/ICECS.2000.912991

Filename

912991