Open AccessImprovement of the Barkhausen criterion and the implementation of an intelligent function generator
Author(s) -
Lin ChiaWei,
Chen YenTing,
Chen YingChen,
Chen ChungCheng
Publication year - 2017
Publication title -
the journal of engineering
Language(s) - English
Resource type - Journals
ISSN - 2051-3305
DOI - 10.1049/joe.2017.0021
Subject(s) - barkhausen stability criterion , colpitts oscillator , oscillation (cell signaling) , sine wave , control theory (sociology) , generator (circuit theory) , computer science , barkhausen effect , function (biology) , simple (philosophy) , sine , voltage controlled oscillator , mathematics , engineering , electrical engineering , physics , voltage , artificial intelligence , power (physics) , magnetization , biology , genetics , control (management) , quantum mechanics , evolutionary biology , magnetic field , vackář oscillator , philosophy , geometry , epistemology
Function generators are vital tools for many industrial applications. Sinusoidal oscillators are the essential units of function generators and investigating their performance is therefore necessary. The Barkhausen criterion is widely applied in designing sinusoidal oscillators because of its simplicity. The authors exploit a crucial necessary and sufficient oscillation criterion for Wien Bridge and Colpitts oscillators based on Simple Chen's Electric Unifying Approach. Their approach resolves the shortcoming of the traditional Barkhausen criterion, namely that it entails only a necessary condition. They propose a simple oscillation determining criterion that uses a stable sine‐wave oscillator with an adjustable oscillation frequency. The derived oscillation criterion establishes a precise condition for the existence of oscillatory behaviour and does not require the fixed value used in the traditional Barkhausen criterion. To demonstrate its applicability, the proposed approach for the Wien Bridge and Colpitts oscillators is applied to implement a function generator.