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Analytical approximation of nonlinear distortions
IEEE Photonics Technology Letters, 2005We present an analytical approximation that can describe the signal at the output of a nonlinear fiber, accounting for the distortions induced by the interplay between chromatic dispersion and Kerr nonlinearity. The obtained results agree well with the split-step Fourier method for launch powers as high as 10 dBm.
CIARAMELLA, ERNESTO, FORESTIERI, Enrico
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On representation and approximation of nonlinear systems
Biological Cybernetics, 1978Many methods for the analysis of nonlinear systems rely on a Volterra system-representation in terms of integral kernels. This paper considers two questions: 1) whether Volterra-like representations are possible for all smooth systems (i.e. analytic operators),-2) which classes of systems can be approximated by some interesting subclasses of the smooth
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Nonlinear Operator Approximation [PDF]
This paper is concerned with convergence theorems and error bounds for approximate solutions of nonlinear problems, with particular applications to Urysohn integral equations. It is an abbreviated version of a more extensive projected sequel by P.M. Anselone, J. Davis and P.M. Prenter.
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Discrete Nonlinear Mean Approximation
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1977AbstractBest approximation on a finite set by a non‐linear family of functions with respect to a general sum “norm”, which includes as a special case the Lp norms (1 < p < ∞), is considered. Properties of best approximations are given. It is shown that a local minimum of the error may not be a global minimum. Computation of best approximations is
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IEEE transactions on industrial electronics (1982. Print), 2015
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