Multiscale nonlinear system modeling using wavelet networks
Aweke Negash Lemma, Ed F. A. Deprettere, Yi Yu, Shaohua Tan · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1996
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.