Applications of Wavelet Transforms to System Identification
Ryuichi Ashino, Takeshi Mandai, Akira Morimoto · Birkhäuser Basel eBooks · 2004
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.