Stochastic characterization of the phase noise spectrum of coupled-oscillator circuits

Author(s):  
Almudena Suarez ◽  
Sergio Sancho ◽  
Franco Ramirez
2011 ◽  
Vol 10 (02) ◽  
pp. 207-221 ◽  
Author(s):  
FABIO L. TRAVERSA ◽  
FABRIZIO BONANI

Starting from the definition of the stochastic differential equation for amplitude and phase fluctuations of an oscillator described by an ordinary differential equation, we study the associated Fokker–Planck equation by using tools from stochastic integral calculus, harmonic analysis and Floquet theory. We provide an asymptotic characterization of the relevant correlation functions, showing that within the assumption of a linear perturbative analysis for the amplitude fluctuations phase noise and orbital fluctuations at the same time are asymptotically statistically independent, and therefore the nonlinear perturbative analysis of phase noise recently derived still exactly holds even if orbital noise is taken into account.


Author(s):  
Abhijit Banerjee ◽  
Larissa Aguiar Dantas de Britto ◽  
Gefeson Mendes Pacheco

2010 ◽  
Vol 57 (6) ◽  
pp. 1265-1272 ◽  
Author(s):  
Reza Navid ◽  
Thomas H. Lee ◽  
Robert W. Dutton
Keyword(s):  

2012 ◽  
Vol 523-524 ◽  
pp. 961-966
Author(s):  
Hideaki Tanaka ◽  
Yukio Maeda

Magnetic recording technologies are continuing to advance toward higher areal densities, driven by the availability of tunneling magnetoresistive (TMR) heads. However, high areal density heads require smaller physical dimensions, and this can render TMR heads more vulnerable to mechanical stresses generated during the lapping process. Although is important to verify the durability of TMR heads against lapping, it is very difficult to perform a crystallographic analysis of the affected layer because of the small dimensions involved. In this study, we attempted to establish an advanced TMR head verification method based on a magnetic performance analysis involving micro-Kerr hysteresis loops and the magnetic noise spectrum. We found that the magnetic performance changed when nanoscale scratches were removed from the lapped surface using ion beam etching. This indicates that the lapping process produces an affected layer which deteriorates the magnetic characteristics of the TMR head. A correlation was also found between the change in magnetic performance and the morphology of lapped surface.


Metrika ◽  
2001 ◽  
Vol 53 (3) ◽  
pp. 207-222 ◽  
Author(s):  
Erkki P. Liski ◽  
Alexander Zaigraev

2005 ◽  
Vol 125 (8) ◽  
pp. 1173-1178 ◽  
Author(s):  
Yukinori Sakuta ◽  
Yuji Arai ◽  
Yoshifumi Sekine

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