Title :
Is the quadrature oscillator a multivibrator?
Author_Institution :
Tech. Univ. of Denmark, Kongens Lyngby, Denmark
Abstract :
The aim of this article is to give insight into the mechanisms behind the behavior of oscillators from a new angle, introducing the idea of "frozen eigenvalues." This approach is based on piecewise-linear modelling and a study of the eigenvalues of the time varying linearized Jacobian of the nonlinear differential equations describing the oscillator. A multivibrator and a quadrature oscillator are used as test examples. The mechanisms behind the oscillations of the two circuits are compared.
Keywords :
eigenvalues and eigenfunctions; multivibrators; nonlinear differential equations; oscillators; piecewise linear techniques; frozen eigenvalues; multivibrator; nonlinear differential equations; piecewise-linear modelling; quadrature oscillator; time varying linearized Jacobian; Circuits; Differential equations; Eigenvalues and eigenfunctions; Feeds; Frequency; Jacobian matrices; Oscillators; Piecewise linear techniques; Power supplies; Steady-state;
Journal_Title :
Circuits and Devices Magazine, IEEE
DOI :
10.1109/MCD.2004.1364772
