Frequency-domain Monte Carlo method for linear oscillatory gas flows

2015 ◽  
Vol 284 ◽  
pp. 351-366 ◽  
Author(s):  
Daniel R. Ladiges ◽  
John E. Sader
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Frequency Domain ◽  
Gas Flows

Frequency-domain deviational Monte Carlo method for linear oscillatory gas flows

2015 ◽  
Vol 27 (10) ◽  
pp. 102002 ◽  
Author(s):  
Daniel R. Ladiges ◽  
John E. Sader
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Frequency Domain ◽  
Gas Flows

scholarly journals Time- and Frequency-Domain Evaluation of Stochastic Parameters on Signal Lines

2012 ◽  
Vol 1 (3) ◽  
pp. 85 ◽  
Author(s):  
P. Manfredi ◽  
I. S. Stievano ◽  
F. G. Canavero
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Frequency Domain ◽  
Process Variations ◽  
Response Sensitivity ◽  
Enhanced Transmission ◽  
Stochastic Parameters ◽  
Telegraph Equations ◽  
Transmission Line Models ◽  
Alternative Solutions

This paper focuses on the derivation of enhanced transmission-line models allowing to describe, in time and frequency domain, a realistic interconnect with the inclusion of external uncertainties, like process variations or routing and layout uncertainties. The proposed method, that is based on the expansion of the well-known telegraph equations in terms of orthogonal polynomials, turns out to be accurate and more efficient than alternative solutions like Monte Carlo method in determining the transmissionline response sensitivity to parameters variability. Moreover, an implementation into standard circuit analysis tools such as SPICE is possible. Two application examples based on PCB structures of common use in commercial packages conclude the paper.

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