Title :
Impulse response identification by use of wavelet packets decomposition
Author :
Takahashi, Masayuki ; Ohmori, Hiromitsu ; Sano, Akira
Author_Institution :
Dept. of Syst. Design Eng., Keio Univ., Yokohama, Japan
Abstract :
This paper is concerned with a new system identification approach based on the wavelet packets (WP) decomposition. The impulse response in the WP transform domain is estimated via the least squares method using transformed input/output data. Then the estimate of the original impulse response can be reconstructed from that in the transform domain by using the inverse WP transform. The MSE of the estimate is investigated, and it is clarified that the MSE can be minimized by an optimal choice of the threshold level, the resolution level and the packets selection. Therefore, the data adaptive choice is effective in ill-conditioned system identification using a band-limited input signal
Keywords :
identification; least mean squares methods; transient response; wavelet transforms; MSE minimization; WP decomposition; WP transform domain; band-limited input signal; ill-conditioned system identification; impulse response identification; inverse WP transform; least mean squares method; least squares method; transformed I/O data; transformed input/output data; wavelet packets decomposition; Design engineering; Frequency estimation; Least squares methods; Signal processing; Signal resolution; System identification; System testing; Systems engineering and theory; Vectors; Wavelet packets;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.760670
