Title :
Oscillators and operational amplifiers
Author_Institution :
DTU Dept., Denmark Tech. Univ., Lyngby, Denmark
fDate :
28 Aug.-2 Sept. 2005
Abstract :
A generalized approach to the design of oscillators using operational amplifiers as active elements is presented. A piecewise-linear model of the amplifier is used so that it make sense to investigate the eigenvalues of the Jacobian of the differential equations. The characteristic equation of the general circuit is derived. The dynamic nonlinear transfer characteristic of the amplifier is investigated. Examples of negative resistance oscillators are discussed.
Keywords :
differential equations; eigenvalues and eigenfunctions; negative resistance; operational amplifiers; oscillators; piecewise linear techniques; Jacobian eigenvalues; active elements; differential equations; dynamic nonlinear transfer characteristics; general circuit equation; negative resistance oscillators; operational amplifiers; oscillator design; piecewise-linear model; Differential equations; Eigenvalues and eigenfunctions; Frequency; Hysteresis; Jacobian matrices; Linear circuits; Nonlinear equations; Operational amplifiers; Oscillators; Piecewise linear techniques;
Conference_Titel :
Circuit Theory and Design, 2005. Proceedings of the 2005 European Conference on
Print_ISBN :
0-7803-9066-0
DOI :
10.1109/ECCTD.2005.1522982