Quasi-interpolation by means of filter-banks

Perez Villalon, Gerardo (2010). Quasi-interpolation by means of filter-banks. "IEEE Transactions on Signal Processing", v. 58 (n. 3); pp. 1628-1637. ISSN 1053-587X. https://doi.org/10.1109/TSP.2009.2037063.


Título: Quasi-interpolation by means of filter-banks
  • Perez Villalon, Gerardo
Tipo de Documento: Artículo
Título de Revista/Publicación: IEEE Transactions on Signal Processing
Fecha: Febrero 2010
Volumen: 58
Escuela: E.U.I.T. Telecomunicación (UPM) [antigua denominación]
Departamento: Matemática Aplicada a la Ingeniería Técnica de Telecomunicación [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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We consider the problem of approximating a regular function f(t) from its samples, f(nT), taken in a uniform grid. Quasi-interpolation schemes approximate f(t) with a dilated version of a linear combination of shifted versions of a kernel ??(t), specifically fapprox T(t) = ??af[n]??(t/T - n), in a way that the polynomials of degree at most L-1 are recovered exactly. These approximation schemes give order L, i.e., the error is O(TL) where T is the sampling period. Recently, quasi-interpolation schemes using a discrete prefiltering of the samples f(nT) to obtain the coefficients af[n], have been proposed. They provide tight approximation with a low computational cost. In this work, we generalize considering rational filter banks to prefilter the samples, instead of a simple filter. This generalization provides a greater flexibility in the design of the approximation scheme. The upsampling and downsampling ratio r of the rational filter bank plays a significant role. When r = 1, the scheme has similar characteristics to those related to a simple filter. Approximation schemes corresponding to smaller ratios give less approximation quality, but, in return, they have less computational cost and involve less storage load in the system

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ID de Registro: 9450
Identificador DC: http://oa.upm.es/9450/
Identificador OAI: oai:oa.upm.es:9450
Identificador DOI: 10.1109/TSP.2009.2037063
URL Oficial: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5339141&tag=1
Depositado por: Memoria Investigacion
Depositado el: 10 Nov 2011 11:09
Ultima Modificación: 20 Abr 2016 17:52
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