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Spectral approximation and estimation with scattering functions

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Mathematical Theory of Networks and Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 58))

Abstract

In this paper an introduction is given to multiport scattering methods and their application to the estimation problem. Starting out from the theory of Darlington synthesis we derive fundamental solutions for the lossless inverse scattering LIS-problem and we show that each solution corresponds to a linear least squares stochastic estimation filter for a related stochastic process.

In a later section we also show connections between our theory and a classical inverse scattering extension problem.

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Authors and Affiliations

  1. Department of Electrical Engineering, Delft University of Technology, Mekelweg 4, 2628 CD, Delft, The Netherlands

    P. Dewilde

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  1. P. Dewilde
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P. A. Fuhrmann

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© 1984 Springer-Verlag

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Dewilde, P. (1984). Spectral approximation and estimation with scattering functions. In: Fuhrmann, P.A. (eds) Mathematical Theory of Networks and Systems. Lecture Notes in Control and Information Sciences, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0031055

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  • DOI: https://doi.org/10.1007/BFb0031055

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13168-7

  • Online ISBN: 978-3-540-38826-5

  • eBook Packages: Springer Book Archive

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