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Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 2
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Original Articles

System identification based on distribution theory and wavelet transform

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Pages 165-195 | Received 01 Feb 2004, Published online: 15 Aug 2006
 

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, called kernel distribution. Formulae using wavelet transform to access time--frequency information of kernel distributions are deduced. A new wavelet-based system identification method for health monitoring systems is proposed as an application of a discretized formula using stationary wavelet transform.

Acknowledgement

This research was partially supported by the Japanese Ministry of Education, Culture, Sports, Science and Technology, Grant-in-Aid for Scientific Research (C), 15540170 (2003--2004), and by the Japan Society for the Promotion of Science, Japan-U.S. Cooperative Science Program (2003--2004).

Notes

Email: [email protected]

This article is in memory of Professor Michihiro Nagase.

This article is in memory of Professor Michihiro Nagase.

Additional information

Notes on contributors

Akira Morimoto Footnote

Email: [email protected] This article is in memory of Professor Michihiro Nagase. Email: [email protected]

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