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Statistische analyse eines nichtlinearen systems mit mehreren eingängen durch optimale linearisierung

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Abstract

As compared to linear systems for which well-proven standardised procedures exist, the analysis of nonlinear systems based on random signals cannot be handled in a similar manner because of the lack of a nonlinear systems theory. A number of different procedures has been published, the most popular of them based on the application of the Volterra series, but also procedures based on the optimal linearisation of a given nonlinearity. This paper applies the procedure of optimal linearisation to a system with several imputs and one output. It is possible to extend the procedure to systems having several outputs. As an example, the parameters of the coupling function of a one-stage nerve-network will be computed. The practicability of the procedure and associated errors will be investigated.

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Authors and Affiliations

  1. Battelle Institut e.V., Frankfurt, FRG

    K. Wevelsiep

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  1. K. Wevelsiep
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Der Autor dankt Herrn Prof. Dr.-Ing. W. v. Seelen, Universität Mainz für wertvolle Diskussionen und die kritische durchsicht des Manuskripts

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Wevelsiep, K. Statistische analyse eines nichtlinearen systems mit mehreren eingängen durch optimale linearisierung. Biol. Cybernetics 29, 11–18 (1978). https://doi.org/10.1007/BF00365231

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  • DOI: https://doi.org/10.1007/BF00365231

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