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Advances in Pseudo-Differential Operators pp 203–218Cite as

Birkhäuser

Applications of Wavelet Transforms to System Identification

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 155))

Abstract

A review of system identification based on distribution theory is given. By the Schwartz kernel theorem, to every continuous linear system, there corresponds a unique distribution, calledkernel distribution.

Formulae using wavelet transform to access time-frequency information of the kernel distribution are deduced. An application of the formula to system identification of a health monitoring system is given.

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Author information

Authors and Affiliations

  1. Mathematical Sciences, Osaka Kyoiku University, Kashiwara, Osaka, 582-8582, Japan

    Ryuichi Ashino

  2. Research Center for Physics and Mathematics, Osaka Electro-Communication University, Neyagawa, Osaka, 572-8530, Japan

    Takeshi Mandai

  3. Information Science, Osaka Kyoiku University, Kashiwara, Osaka, 582-8582, Japan

    Akira Morimoto

Authors
  1. Ryuichi Ashino
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  2. Takeshi Mandai
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  3. Akira Morimoto
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Editor information

Editors and Affiliations

  1. Division of Mathematical Sciences, Osaka Kyoiku University, Kashiwara, Osaka, 582-8582, Japan

    Ryuichi Ashino

  2. Dipartimento di Matematica, Università di Torino, Via Carlo Alberto, 10, Torino, 10123, Italy

    Paolo Boggiatto

  3. Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario, M3J 1P3, Canada

    M. W. Wong

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© 2004 Springer Basel AG

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Ashino, R., Mandai, T., Morimoto, A. (2004). Applications of Wavelet Transforms to System Identification. In: Ashino, R., Boggiatto, P., Wong, M.W. (eds) Advances in Pseudo-Differential Operators. Operator Theory: Advances and Applications, vol 155. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7840-1_12

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  • DOI: https://doi.org/10.1007/978-3-0348-7840-1_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9590-3

  • Online ISBN: 978-3-0348-7840-1

  • eBook Packages: Springer Book Archive

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