Abstract

GARCIA MENDOZA, Consuelo Varinia  and  MEDEL JUAREZ, José de Jesús. Filter Estimator by Deconvolution and Pseudoinverse: Recursive Description and Implementation. Comp. y Sist. [online]. 2014, vol.18, n.4, pp.833-840. ISSN 2007-9737.  https://doi.org/10.13053/CyS-18-4-1551.

In this paper we present a filter estimator based on deconvolution matrix model using the pseudoinverse as a filtering process, which permits to know the internal dynamics of a black-box model with linear response and time-invariant evolution. We present a recursive description of the filter by deconvolution and pseudoinverse considering a) convolution in finite differences, b) the filter by deconvolution and pseudoinverse, c) recursive description of error functional, and d) stability conditions to be covered by the estimator taking into account the Lyapunov criteria. To illustrate the description, a MATLAB^® simulation is presented.

Keywords : Deconvolution; pseudoinverse of a matrix; error functional; recursive filter estimator; Lyapunov stability.