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Low-Dimensional Decompositions for Nonlinear Finite Impulse Response Modeling

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Computational Science – ICCS 2021 (ICCS 2021)

Abstract

This paper proposes a new decomposition technique for the general class of Non-linear Finite Impulse Response (NFIR) systems. Based on the estimates of projection operators, we construct a set of coefficients, sensitive to the separated internal system components with short-term memory, both linear and nonlinear. The proposed technique allows for the internal structure inference in the presence of unknown additive disturbance on the system output and for a class of arbitrary but bounded nonlinear characteristics.

The results of numerical experiments, shown and discussed in the paper, indicate applicability of the method for different types of nonlinear characteristics in the system.

Supported by Wrocław University of Science and Technology.

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Correspondence to Maciej Filiński .

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Filiński, M., Wachel, P., Tiels, K. (2021). Low-Dimensional Decompositions for Nonlinear Finite Impulse Response Modeling. In: Paszynski, M., Kranzlmüller, D., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M. (eds) Computational Science – ICCS 2021. ICCS 2021. Lecture Notes in Computer Science(), vol 12746. Springer, Cham. https://doi.org/10.1007/978-3-030-77977-1_28

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  • DOI: https://doi.org/10.1007/978-3-030-77977-1_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-77976-4

  • Online ISBN: 978-3-030-77977-1

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