Open Access
Laguerre Filters: An Introduction
Tomás Oliveira e Silva
- Vol. 1, Iss: 3, pp 237-248
TLDR
In this paper, a generalization of the transversal filter, called Laguerre filter, is presented, which is obtained by replacing each delay 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) to the filter's input signal.Abstract:
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.read more
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References
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TL;DR: Das Buch behandelt die Systemidentifizierung in dem theoretischen Bereich, der direkte Auswirkungen auf Verstaendnis and praktische Anwendung der verschiedenen Verfahren zur IdentifIZierung hat.
Book
Real and complex analysis
TL;DR: In this paper, the Riesz representation theorem is used to describe the regularity properties of Borel measures and their relation to the Radon-Nikodym theorem of continuous functions.
Journal ArticleDOI
Toeplitz Forms and Their Applications.
TL;DR: In this article, Toeplitz forms are used for the trigonometric moment problem and other problems in probability theory, analysis, and statistics, including analytic functions and integral equations.