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.
Email: [email protected]