Applications of Wavelet Transforms to System Identification

  • Ryuichi Ashino
  • Takeshi Mandai
  • Akira Morimoto
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 155)


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.


System identification distribution wavelet transform stationary wavelet 


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Copyright information

© Springer Basel AG 2004

Authors and Affiliations

  • Ryuichi Ashino
    • 1
  • Takeshi Mandai
    • 2
  • Akira Morimoto
    • 3
  1. 1.Mathematical SciencesOsaka Kyoiku UniversityKashiwara, OsakaJapan
  2. 2.Research Center for Physics and MathematicsOsaka Electro-Communication UniversityNeyagawa, OsakaJapan
  3. 3.Information ScienceOsaka Kyoiku UniversityKashiwara, OsakaJapan

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