A method for the evaluation of the statistical moments of linear one-dimensional or multi-dimensional systems subjected to non-Gaussian input in polynomial forms of filtered normal or non-normal delta-correlated processes is presented. The proposed procedure allows one to avoid the solution of a set of non-linear differential equations, requiring the solution of three sets of linear differential equations. The latter sets are: the equations governing the evolution of the moments of the response forced by input-output cross moments; the equations useful for the evaluation of the input-output cross-moments and the equations governing the evolution of the statistical moments of the filtered input.
Linear systems excited by polynomials forms of non-Gaussian filtered processes
MUSCOLINO, Giuseppe Alfredo
1995-01-01
Abstract
A method for the evaluation of the statistical moments of linear one-dimensional or multi-dimensional systems subjected to non-Gaussian input in polynomial forms of filtered normal or non-normal delta-correlated processes is presented. The proposed procedure allows one to avoid the solution of a set of non-linear differential equations, requiring the solution of three sets of linear differential equations. The latter sets are: the equations governing the evolution of the moments of the response forced by input-output cross moments; the equations useful for the evaluation of the input-output cross-moments and the equations governing the evolution of the statistical moments of the filtered input.Pubblicazioni consigliate
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