Publication

Signal modeling with Non Uniform Topology lattice filters

2001
Conference Papers

Résumé

This article presents a new class of constrained and specialized Auto-Regressive (AR) processes. They are derived from lattice filters where some reflection coefficients are forced to zero at a priori locations. Optimizing the filter topology allows to build parametric spectral models that have a greater number of poles than the number of parameters needed to describe their location. These NUT (Non-Uniform Topology) models are assessed by evaluating the reduction of modeling error with respect to conventional AR models.

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2001
Conference Papers

Résumé

Source officielle

Concepts associés (32)

Filters in topology

Filters in topology, a subfield of mathematics, can be used to study topological spaces and define all basic topological notions such as convergence, continuity, compactness, and more. Filters, which are special families of subsets of some given set, also provide a common framework for defining various types of limits of functions such as limits from the left/right, to infinity, to a point or a set, and many others. Special types of filters called have many useful technical properties and they may often be used in place of arbitrary filters.

Electronic filter topology

Electronic filter topology defines electronic filter circuits without taking note of the values of the components used but only the manner in which those components are connected. Filter design characterises filter circuits primarily by their transfer function rather than their topology. Transfer functions may be linear or nonlinear. Common types of linear filter transfer function are; high-pass, low-pass, bandpass, band-reject or notch and all-pass.

Filtre (mathématiques)

En mathématiques, et plus particulièrement en topologie générale, un filtre est une structure définie sur un ensemble, et permettant d'étendre la notion de limite aux situations les plus générales. La théorie des filtres a été inventée, en 1937, par Henri Cartan et utilisée par Bourbaki. Les filtres ont permis en particulier une démonstration élégante du théorème de Tychonov.

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Publications associées (12)

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Signal modeling with Non Uniform Topology lattice filters

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