Open AccessStability Conditions of Fuzzy Filter Type III
Author(s) -
José de Jesús Medel Juárez,
Juan Carlos García Infante,
Juan Carlos Cerón García
Publication year - 2011
Publication title -
journal of signal and information processing
Language(s) - English
Resource type - Journals
eISSN - 2159-4465
pISSN - 2159-4481
DOI - 10.4236/jsip.2011.23034
Subject(s) - filter (signal processing) , control theory (sociology) , fuzzy logic , mathematics , computer science , filter design , signal (programming language) , digital filter , fuzzy number , algorithm , fuzzy set , artificial intelligence , computer vision , control (management) , programming language
A digital fuzzy logic filter of type III interacts with a real model signal reference to obtain the best answer in the sense of minimum mean square error of the output. The key part of the filter is a fuzzy mechanism that adaptively selects and emits answer according to the changes of the external reference signal. Based on input signal level, this fuzzy filter selects the best parameter values from a set of membership in the knowledge base (KB), and the filter weights are updated according to the reference signal in a natural form. With this fuzzy structure the filter reduces error. The simulation result shows the stability of the filter. The states of the filtering process require that all of its answers are bounded by the error criteria probabilistically