Publication [8.1] of Tomás Oliveira e Silva



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Reference

Tomás Oliveira e Silva, "Kautz filters," Sep. 1994. English translation of a work written in Portuguese for the ``Prémio Científico IBM 94''.

Abstract

In this work we will present some properties of the so-called Kautz filters with identical sections. These filters are a generalization of the Laguerre filters, which in turn are a generalization of the transversal filters. We demonstrate the usefulness of this type of filters in the approximation of systems with slowly decaying impulse responses, case where they are more efficient than the transversal filters, and of systems with strong oscillatory impulse responses, case where they are more efficient than the Laguerre filters.

We will concentrate our attention in the determination of the conditions that must be satisfied by the poles of Kautz filters with identical sections for the squared error of the Kautz filter to have a stationary point, because for each set of values of these poles the determination of the optimal "weights" of the Kautz filter is a standard problem of least squares estimation.

BibTeX entry

@Unpublished
{
  Oliveira.e.Silva-1994-1-KF-,
  author = {Oliveira e Silva, Tom{\'a}s},
  title = {Kautz filters},
  note = {{E}nglish translation of a work written in {P}ortuguese for the
         ``{P}r{\'e}mio {C}ient{\'i}fico {I}{B}{M} 94''.},
  month = Sep,
  year = {1994}
}