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This paper focuses on the statistics' assessment of a coaxial line's capacitance, assuming that it is affected by electrical and geometrical uncertainties. For this purpose, a non-intrusive polynomial chaos expansion was applied and compared to a crude Monte Carlo method.
A comparative study related to the approximate methods of nonlinear filtering for chaotic signals is presented in this paper. In the following, we considered chaos models given as the output signals of three well known strange attractors: Lorenz, Chua and Rossler. From the implementation point of view for real time applications of the approximate nonlinear filtering algorithms, the extended Kalman...
This paper is dedicated to the cumulant analysis of the Rossler attractor, based on the so-called "degenerate cumulant equations method." The approach is ilustrated by the calculus of the first cumulants, which are necessary to create an approximation of the probability density function (PDF), applying the Gramm-Charlier series, the model distribution method, etc. An approximate method for...
This paper proposes a new approach to analyze crosstalk of coupled interconnects in the presence of process variations. The suggested method translates correlated process variations into orthogonal random variables by principle component analysis (PCA). combined with polynomial chaos expression (PCE), the technique utilizes Stochastic Collocation Method (SCM) to analyze the system response of coupled...
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