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TECHNICAL PAPERS

Biorthogonal Wavelet Based Identification of Fast Linear Time-Varying Systems—Part II: Algorithms and Performance Analysis12

[+] Author and Article Information
Haipeng Zhao, Joseph Bentsman

Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, 1206 West Green Street, Urbana, IL 61801

J. Dyn. Sys., Meas., Control 123(4), 593-600 (Dec 27, 2000) (8 pages) doi:10.1115/1.1409550 History: Received December 27, 2000
Copyright © 2001 by ASME
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References

Zhao, H., and J. Bentsman, “Wavelet-Based Identification of Fast Linear Time-Varying Systems Using Function Space Methods,” Proceedings of American Control Conference 2000, Chicago, IL, pp. 939–943.
Zhao,  H., and Bentsman,  J., 2001, “Biorthogonal Wavelet Based Identification of Fast Linear Time-Varying Systems-Part I: System Representations,” ASME J. Dyn. Syst., Meas., Control, published in this issue , 123, pp. 585–592.
Doroslovacki,  M. I., and Fan,  H., 1996, “Wavelet-Based Linear System Modeling and Adaptive Filtering,” IEEE Trans. Signal Process., 44, No. 5, pp. 1156–1167.
Pati, Y. C., Rezaiifar, R., and Krishnaprasad, P. S., 1992, “Rational Wavelets in Approximation and Identification of Stable Linear Systems,” Proceedings 31st IEEE Conference on Decision and Control, Dec, pp. 1502–1507.
Pati, Y. C., Rezaiifar, R., Krishnaprasad, P. S., and Dayawansa, W. P., 1993, “Fast Recursive Algorithm for System Identification and Model Reduction Using Rational Wavelets,” Conference Record of the Asilomar Conference on Signals, Systems & Computers, IEEE Computer Society Press, Los Alamitos, CA, Vol. 1, pp. 35–39.
Zhao, H., and Bentsman, J., 2001, “Block Diagram Reduction of Interconnected Linear Time-Varying Systems in Time-Frequency Domain,” to appear in Journ. of Multidim. Syst. and Signal Processing.
Goldschneider,  J. R., and Riskin,  E. A., 1999, “Optimal Bit Allocation and Best-Basis Selection for Wavelet Packets and TSVQ,” IEEE Trans. Image Process., 8, No. 9, Sept. pp. 1305–9.
Cotter,  S. F., Adler,  R., Rao,  R. D., Kreutz-Delgado,  K., 1999, “Forward Sequential Algorithms for Best Basis Selection,” IEE Proc. Vision Image Signal Process., 146, No. 5, Oct., pp. 235–44.

Figures

Grahic Jump Location
The time-domain representation of the time-varying system to be identified
Grahic Jump Location
Magnitude responses of α12, and α3
Grahic Jump Location
The input-side transformation based identification. Upper plot: the time-domain representation of the identification result; lower plot: the identification error.
Grahic Jump Location
The input-output transformation based identification. Upper plot: the time-domain representation of the identification result; lower plot: the identification error.
Grahic Jump Location
The identification result of h[t,3]-the cross-section of the LTV system impulse response at τ=3-using the least squares, the input-side transformation, and the input-output transformation based identification algorithms

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