Multiscale nonlinear system modeling using wavelet networks

Aweke N. Lemma; Ed F. A. Deprettere; Yi Yu; Shaohua Tan

doi:10.1117/12.255270

23 October 1996 Multiscale nonlinear system modeling using wavelet networks

Aweke N. Lemma, Ed F. A. Deprettere, Yi Yu, Shaohua Tan

Proceedings Volume 2825, Wavelet Applications in Signal and Image Processing IV; (1996) https://doi.org/10.1117/12.255270
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

Using wavelet networks, it is possible to capture the characteristics of non-linear dynamic systems in a multi- scale modeling strategy. Starting from the coarsest approximation we go step-wise to the finer scales. At each step the error signal or the residue of the system is modeled. This procedure is repeated until the residual drops below some modeling error bound. The modeling is carried out using compactly supported biorthogonal wavelets. By choosing appropriate wavelet basis, it is possible to obtain a near optimal model.

Citation Download Citation

Aweke N. Lemma, Ed F. A. Deprettere, Yi Yu, and Shaohua Tan "Multiscale nonlinear system modeling using wavelet networks", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); https://doi.org/10.1117/12.255270

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