Publication [5.2] of Tomás Oliveira e Silva

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Tomás Oliveira e Silva, "Laguerre Filters --- An Introduction," Revista do DETUA, vol. 1, no. 3, pp. 237-248, Jan. 1995.


In this tutorial paper we present a generalization of the transversal filter, called Laguerre filter, and study some of its more remarkable properties. This filter is obtained by replacing each delay of the transversal filter by a first order all-pass section, and by applying a first order low-pass filter (with the same pole used in the all-pass sections) to the filter's input signal. Both the transversal and the lattice forms of the Laguerre filter are discussed. We also deduce the stationarity conditions of the mean-square error of a Laguerre filter (transversal or lattice) with respect to its pole position.

BibTeX entry

  author = {Oliveira e Silva, Tom{\'a}s},
  title = {{L}aguerre Filters --- An Introduction},
  journal = {Revista do DETUA},
  year = {1995},
  volume = {1},
  number = {3},
  pages = {237--248},
  month = Jan


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