Applications of Wavelet Transforms to System Identification
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.
KeywordsSystem identification distribution wavelet transform stationary wavelet
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