Inverse Deconvolution Estimation Filter

Authors

  • Consuelo Varinia García Mendoza Escuela Superior de Cómputo - IPN
  • José de Jesús Medel Juárez Centro de Investigación en Computación - IPN

DOI:

https://doi.org/10.13053/cys-19-3-1596

Keywords:

Deconvolution, diagonalization, inverse, pseudoinverse, functional error

Abstract

This paper presents a deconvolution filter technique using a diagonal block inverse in order to learn the internal dynamics of a black-box model with bounded response and time-invariant evolution. Instead of using a pseudoinverse in deconvolution on problems of inversion and singularity, we propose a separation by matrix blocks and application of an inverse to achieve a lower algorithmic complexity and less error of direct estimation without losing the stability properties. With this in mind, we present a deconvolution filter applying its transformation into a diagonal form considering matrix diagonalization, diagonal filter description, functional error, algorithm complexity analysis, and diagonal deconvolution applied to filter simulation.

Author Biographies

Consuelo Varinia García Mendoza, Escuela Superior de Cómputo - IPN

Es ingeniera en sistemas computacionales por la Escuela Superior de Cómputo del IPN. Obtuvo su maestría y doctorado en  Tecnología Avanzada por el CICATA-Legaría del IPN. Actualmente es profesora de la Escuela Superior de Cómputo del IPN. Su área de investigación es el filtrado digital de señales.

José de Jesús Medel Juárez, Centro de Investigación en Computación - IPN

Es aeronáutico  por la Escuela Superior de Ingeniería Mecánica y Eléctrica. Obtuvo su maestría y doctorado en la especialidad de Control Automático por el Cinvestav. Actualmente es investigador del Centro de Investigación en Computación del IPN. Su área de investigación es el control automático y el filtrado digital de señales.

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Published

2015-09-30

Issue

Vol. 19 No. 3 (2015): 19(3) 2015 Thematic issue: Vision and Robotics (Guest editors: S. Ortega, A. Pedroza, O. Carbajal, B. Castillo Toledo)

Section

Articles

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