The Approximation Of Nonlinear Function using Daubechies and Symlets Wavelets

Bahri, Syamsul and Awalushaumi, Lailia and Susanto, Marliadi The Approximation Of Nonlinear Function using Daubechies and Symlets Wavelets. Proceedings of ICMIs. (In Press)

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The phenomena and real world problems usually can be formulated as a representation of the problem of function approximation, which is to estimate the value of a function f(x), based on the relationship or pattern of the input-output data, that is sequences of ( ). i i y f x = In practice, some applications related to the approximation of functions such as the problems of pattern classification, regression analysis, reconstruction signals, and identification systems. The purpose of this research is to compare the performance of Daubechies and Symlets wavelet types to estimate nonlinear functions. The characteristics of the Daubechies and Symlets wavelet functions are smooth, regular, have a compact of the support and lengthy of the filters, and an explicit the formula so it's good to handle smooth curves, reconstruct of signals, longer filtering processes, easy and fast on computing process. The advantages of the Daubechies and Symlets wavelet characteristics will be used as the basis for approximating non-linear functions. Numeracally, based on the means square error (MSE) indicator, the results of this research provide an overview of the accuracy of wavelet-based approximation by Daubechies and Symlets wavelets type for approximation of the nonlinear function which is approximated is very significant.

Item Type: Article
Keywords (Kata Kunci): Function approximation, nonlinear function, wavelet, Daubechies, Symlets.
Subjects: Q Science > QA Mathematics
Divisions: Fakultas Matematika dan ilmu Pengetahuan Alam
Depositing User: Dr Syamsul Bahri
Date Deposited: 15 Nov 2018 23:53
Last Modified: 15 Nov 2018 23:53

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