Open AccessPerformance Analysis of Orthogonal Gradient Sign Algorithm Using Spline-based Hammerstein Model for Smart Application
Author(s) -
Suchada Sitjongsataporn,
Sethakarn Prongnuch
Publication year - 2022
Publication title -
journal of mobile multimedia
Language(s) - English
Resource type - Journals
eISSN - 1550-4654
pISSN - 1550-4646
DOI - 10.13052/jmm1550-4646.18412
Subject(s) - algorithm , spline (mechanical) , spline interpolation , adaptive filter , mathematics , nonlinear system , lookup table , least mean squares filter , taylor series , mean squared error , thin plate spline , control theory (sociology) , computer science , bilinear interpolation , artificial intelligence , engineering , statistics , mathematical analysis , physics , control (management) , structural engineering , quantum mechanics , programming language
This paper presents a spline-based Hammerstein model for adaptive filtering based on a sign algorithm with the normalised orthogonal gradient algorithm. Spline-based Hammerstein architecture consists of an interpolation spline-based adaptive lookup table in the part of nonlinear filter and an adaptive finite impulse response filter used in the part of linear filter. Hammerstein spline adaptive filter (HSAF) is a nonlinear filter for the nonlinear systems among the advantages in the low computational cost and high performance. An adaptive lookup table and spline control points are determined and derived with the orthogonal gradient-based mechanism. Performance analysis in terms of convergence properties and mean square analysis based on the mean square error (MSE) constraint are proven by using the Taylor series expansion of the estimation error in the form of the excess MSE. Experimental results indicate the robust performance of the proposed algorithm can provide the better performance than the other models based on the conventional least mean square Hammerstein spline adaptive filtering algorithm.