Oscillators - an approach for a better understanding

Erik Lindberg

Oscillators - an approach for a better understanding

Erik Lindberg (Invited author)

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Abstract

The aim of this tutorial is to provide an electronic engineer knowledge and insight for a better understanding of the mechanisms behind the behaviour of electronic oscillators. A linear oscillator is a mathematical fiction which can only be used as a starting point for the design of a real oscillator based on the Barkhausen criteria. Statements in textbooks and papers saying that the nonlinearities are bringing back the poles to the imaginary axis are wrong. The concept of "frozen eigenvalues" is introduced by means of piece-wise-linear modelling of the nonlinear components which are necessary for steady state oscillations. A number of oscillator designs are investigated and the mechanisms behind the control of frequency and amplitude are discussed.

Original language	English
Title of host publication	Proceedings ECCTD'03
Publication date	2003
Publication status	Published - 2003
Event	2003 European Conference on Circuit Theory and Design - Cracow, Poland Duration: 1 Sept 2003 → 4 Sept 2003 Conference number: 16

Conference

Conference	2003 European Conference on Circuit Theory and Design
Number	16
Country/Territory	Poland
City	Cracow
Period	01/09/2003 → 04/09/2003

Keywords

oscillators

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title = "Oscillators - an approach for a better understanding",

abstract = "The aim of this tutorial is to provide an electronic engineer knowledge and insight for a better understanding of the mechanisms behind the behaviour of electronic oscillators. A linear oscillator is a mathematical fiction which can only be used as a starting point for the design of a real oscillator based on the Barkhausen criteria. Statements in textbooks and papers saying that the nonlinearities are bringing back the poles to the imaginary axis are wrong. The concept of {"}frozen eigenvalues{"} is introduced by means of piece-wise-linear modelling of the nonlinear components which are necessary for steady state oscillations. A number of oscillator designs are investigated and the mechanisms behind the control of frequency and amplitude are discussed.",

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AB - The aim of this tutorial is to provide an electronic engineer knowledge and insight for a better understanding of the mechanisms behind the behaviour of electronic oscillators. A linear oscillator is a mathematical fiction which can only be used as a starting point for the design of a real oscillator based on the Barkhausen criteria. Statements in textbooks and papers saying that the nonlinearities are bringing back the poles to the imaginary axis are wrong. The concept of "frozen eigenvalues" is introduced by means of piece-wise-linear modelling of the nonlinear components which are necessary for steady state oscillations. A number of oscillator designs are investigated and the mechanisms behind the control of frequency and amplitude are discussed.

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M3 - Article in proceedings

BT - Proceedings ECCTD'03

T2 - 2003 European Conference on Circuit Theory and Design

Y2 - 1 September 2003 through 4 September 2003

ER -

Oscillators - an approach for a better understanding

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