Memorias de investigación
Artículos en revistas:
Quasi-interpolation by means of filter-banks
Año:2010
Áreas de investigación
  • Análisis matemático
Datos
Descripción
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 G(t), specifically f_aprox(t)=\sum a_f[n]G(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(T^L) where T is the sampling period. Recently, quasi-interpolation schemes using a discrete prefiltering of the samples f(nT) to obtain the coefficients a_f[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.
Internacional
Si
JCR del ISI
Si
Título de la revista
IEEE TRANSACTIONS ON SIGNAL PROCESSING
ISSN
1053-587X
Factor de impacto JCR
2,212
Información de impacto
Volumen
58
DOI
10.1109/TSP.2009.2037063
Número de revista
3
Desde la página
1628
Hasta la página
1637
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  • Creador: Departamento: Matemática Aplicada a la Ingeniería Técnica de Telecomunicación