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Amplitude estimation for near‐sinusoidal oscillators by using a modified Barkhausen criterion
Author(s) -
JardónAguilar H.,
GalvánTejada G. M.,
TiradoMéndez J. A.
Publication year - 2005
Publication title -
international journal of rf and microwave computer‐aided engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.335
H-Index - 39
eISSN - 1099-047X
pISSN - 1096-4290
DOI - 10.1002/mmce.20097
Subject(s) - barkhausen stability criterion , amplitude , harmonic balance , control theory (sociology) , nonlinear system , oscillation (cell signaling) , mathematics , voltage , spice , harmonic , mathematical analysis , physics , electronic engineering , computer science , acoustics , engineering , optics , magnetization , control (management) , quantum mechanics , artificial intelligence , magnetic field , biology , genetics
By using an approach based on the Taylor/Volterra series, nonlinear amplifier characteristics can be introduced into the Barkhausen criterion in order to estimate the amplitude for near‐sinusoidal oscillators. The characteristic equation is similar to the 1 st ‐order determining equation obtained by Chua. This new method includes all desirable features of Chua's equation and lets us generalize the linear approach directly to a nonlinear one without losing the mathematical simplicity of the Barkhausen criterion. It also allows us to determine the oscillation amplitude with a desired accuracy. Moreover, this method investigates the influence of the feedback factor and the voltage supply on the oscillation amplitude. Employing only the 3 rd ‐order nonlinearity of the amplifying element, the amplitude of the oscillation predicted by the modified Barkhausen criterion was compared to the one estimated using the transient analysis of SPICE, the harmonic balance analysis of Serenade, and by measurements. The amplitudes obtained by these four approaches for several feedback factors and supply voltages are in good agreement. © 2005 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2005.