Time domain oscillating poles: Stability redefined in Memristor based Wien-oscillators
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TimedomainoscillatingpolesStabilityredefinedinMemristorbasedWien-oscillator.pdf
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Conference PaperKAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionElectrical Engineering Program
Physical Science and Engineering (PSE) Division
Sensors Lab
Date
2011-01-21Online Publication Date
2011-01-21Print Publication Date
2010-12Permanent link to this record
http://hdl.handle.net/10754/236092
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Traditionally, the necessary and sufficient condition for any system to be oscillating is that its poles are located on the imaginary (jω) axis. In this paper, for the first time, we have shown that systems can oscillate with time-domain oscillating poles. The idea is verified using a Memristor based Wien oscillator. Sustained oscillations are observed without having the poles of the system fixed on the imaginary axis and the oscillating behavior of the system poles is reported. The oscillating resistance and triangular shape of FFT are also demonstrated with mathematical reasoning and simulation results to support the unusual and surprising characteristics. © 2009 IEEE.Description
Traditionally, the necessary and sufficient condition for any system to be oscillating is that its poles are located on the imaginary (jω) axis. In this paper, for the first time, we have shown that systems can oscillate with time-domain oscillating poles. The idea is verified using a Memristor based Wien oscillator. Sustained oscillations are observed without having the poles of the system fixed on the imaginary axis and the oscillating behavior of the system poles is reported. The oscillating resistance and triangular shape of FFT are also demonstrated with mathematical reasoning and simulation results to support the unusual and surprising characteristics.Citation
Talukdar A, Radwan AG, Salama KN (2010) Time domain oscillating poles: Stability redefined in Memristor based Wien-oscillators. 2010 International Conference on Microelectronics. doi:10.1109/ICM.2010.5696140.Conference/Event name
2010 International Conference on Microelectronics, ICM'10ae974a485f413a2113503eed53cd6c53
10.1109/ICM.2010.5696140