Biorthogonal wavelet based identification of fast linear time-varying systems-part I: System representations

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

Volumn 123, Issue 4, 2001, Pages 585-592

  Zhao, Haipeng ^a   Bentsman, Joseph ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13544266786     PISSN: 00220434     EISSN: 15289028     Source Type: Journal    
DOI: 10.1115/1.1409549     Document Type: Article

References (15)

1. [1] Zhao, H., and Bentsman, J., 2001, “Wavelet-Based Identification of Fast Linear Time-Varying Systems Using Function Space Methods,” Proceedings of American Control Conference Chicago, IL, pp. 939-943.
2. Zhao, H., and Bentsman, J., 2001, “Bi orthogonal Wavelet Based Identification of Fast Linear Time-Varying Systems-Part II: Identification Algorithms,” ASME J. Dyn. Syst., Meas., Control, published in this issue, pp. 593-600.
3. Zhao, H., and Bentsman, J., “Block Diagram Reduction of the Interconnected Linear Time-Varying Systems in the Time-Frequency Domain,” Accepted for publication by Multidimensional Systems and Signal Processing.
4. Basseville, M., Benveniste, A., Chou, K. C., Golden, S. A., Nikoukhah, R., and Willsky, A. S., 1992, “Modeling and Estimation of Multiresolution Stochastic Processes,” IEEE Trans. Inf. Theory, 38, No. 2, Part II, pp. 766-784.
5. Chou, K. C., Willsky, A. S., and Benveniste, A., 1994, “Multiscale Recursive Estimation, Data Fusion, and Regularization,” IEEE Trans. Autom. Control, 39, No. 3, Mar. pp. 464-478.
6. Hong, L., 1994, “Multiresolutional Multiple-Model Target Tracking,” IEEE Trans. Aerosp. Electron. Syst., 30, No. 2, Apr., pp. 518-524.
7. Doroslovacki, M. I. and Fan, H., 1996, “Wavelet-Based Linear System Modeling and Adaptive Filtering,” IEEE Trans. Signal Process., 44, No. 5, May, pp. 1156-1167.
8. Rotstein, H., and Raz, S., 1999, “Gabor Transform of Time-Varying Systems: Exact Representation and Approximation,” IEEE Trans. Autom. Control, 44, No. 4, Apr. pp. 729-741.
9. Vidyasagar, M., 1992, Nonlinear Systems Analysis. Prentice-Hall, Englewood Cliffs, NJ.
10. Singer, I., 1970, Best Approximation in Normal Linear Spaces by Elements of Linear Subspaces. Translated by Radu Georgescu, Springer-Verlag, NY.
11. Singer, I., 1970, Bases in Banach Spaces 1, Springer-Verlag, NY.
12. Singer, I., 1974, The Theory of Best Approximation and Functional Analysis. SIAM, Philadelphia.
13. Conway, J. B., 1990, A Course in Functional Analysis. Second edition. Springer-Verlag, NY.
14. Folland, G. B., 1984, Real Analysis. Wiley, NY.
15. Vetterli, M., and Kovacevic, J., 1995, Wavelets and Sub band Coding, Englewood Cliffs, Prentice-Hall, NJ.