Real-time fuzzy digital filter by ARMA systems

  • Authors:
  • J. C. García Infante;J. J. Medel Juárez;P. Guevara López

  • Affiliations:
  • Research Center of Applied Science and Advanced Technology, IPN, México D. F.;Research Center of Applied Science and Advanced Technology, IPN, México D. F. and Research of Computer Center, IPN, Mexico D. F.;Research Center of Applied Science and Advanced Technology, IPN, Méco D. F.

  • Venue:
  • WSEAS Transactions on Systems and Control
  • Year:
  • 2007

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Abstract

This paper describes the Real-time Fuzzy Digital Filters (RTFDF) considering for it the fuzzy logic description (to see: [1], [3], [9], [11], [14], [15], [16], [20], [21]), adaptive digital filters concepts (to see: [2], [5], [11] and [19]) with Real-time properties (to see: [12], [13] and references in it). The main characteristic operation of this filter is to use a region, which has a linguistic natural description and it is known as the knowledge base [21]. Illustratively, the classification of the output signals system respect to the desired answer in linguistic natural form (to see: [12] and [19]), requiring to establish the membership function set with respect to these for the characterization in computational sense as nature linguistic [3]. The RTFDF needs a group of rules inside of the knowledge base (in mathematical sense using logic connectors (IF and THEN) in agreement to [19]) for to select the best way that the filter need to take, respect to the natural evolution answer system. Novel RTFDF description considers quality answer into natural languages, and the interaction time restrictions with adaptive properties into the fuzzy structure filter. The basic results described in this document are in formal sense, using the set definitions developed in the papers and referenced below without forgetting the Nyquist, Shannon, Zadeh and Passino criteria into convolution filter scheme ([7],[16],[18] and [21]). Experimentally, we propose a simulation scheme by this type of filters, using Matlab tools by basic ARMA models. The paper has seven basic sections compound as: 1. Introduction, 2. Membership Functions, 3. Fuzzy Digital Filters, 4. Real-time Fuzzy Digital Filters, 5. Simulations, 6. Conclusions and References.