The Approximation of Nonlinear Function using Daubechies and Symlets Wavelets

Syamsul Bahri, Lailia Awalushaumi, Marliadi Susanto

2018

Abstract

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 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. Numerically, 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 the approximation of the nonlinear function which is approximated is very significant.

Paper Citation

in Harvard Style

Bahri S., Awalushaumi L. and Susanto M. (2018). The Approximation of Nonlinear Function using Daubechies and Symlets Wavelets.In Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs, ISBN 978-989-758-407-7, pages 300-306. DOI: 10.5220/0008521103000306

in Bibtex Style

@conference{icmis18,
author={Syamsul Bahri and Lailia Awalushaumi and Marliadi Susanto},
title={The Approximation of Nonlinear Function using Daubechies and Symlets Wavelets},
booktitle={Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,},
year={2018},
pages={300-306},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008521103000306},
isbn={978-989-758-407-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,
TI - The Approximation of Nonlinear Function using Daubechies and Symlets Wavelets
SN - 978-989-758-407-7
AU - Bahri S.
AU - Awalushaumi L.
AU - Susanto M.
PY - 2018
SP - 300
EP - 306
DO - 10.5220/0008521103000306