Nonparametric identification of Wiener systems by orthogonal series

@article{Greblicki1994NonparametricIO,
  title={Nonparametric identification of Wiener systems by orthogonal series},
  author={Włodzimierz Greblicki},
  journal={IEEE Trans. Autom. Control.},
  year={1994},
  volume={39},
  pages={2077-2086}
}
  • W. Greblicki
  • Published 1 October 1994
  • Mathematics
  • IEEE Trans. Autom. Control.
A Wiener system, i.e., a system comprising a linear dynamic and a nonlinear memoryless subsystems connected in a cascade, is identified. Both the input signal and disturbance are random, white, and Gaussian. The unknown nonlinear characteristic is strictly monotonous and differentiable and, therefore, the problem of its recovering from input-output observations of the whole system is nonparametric. It is shown that the inverse of the characteristic is a regression function and a class of… 

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