Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Nonlinear analysis with an arbitrary stimulus ensemble

Authors: Jonathan D. Victor and Bruce W. Knight
Journal: Quart. Appl. Math. 37 (1979), 113-136
MSC: Primary 92A09
DOI: https://doi.org/10.1090/qam/542986
MathSciNet review: 542986
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Abstract: A family of Wiener-type methods is discussed in a general context. These methods share the concept of expansion of an unknown transducer as an orthogonal series. The terms of the series are drawn from a hierarchy of subspaces of transducers that are orthogonal with respect to a particular stimulus ensemble. Choices of specific stochastic ensembles lead to previously described analytical methods, including the classical one of Wiener.

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DOI: https://doi.org/10.1090/qam/542986
Article copyright: © Copyright 1979 American Mathematical Society

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