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.


Title: Quasi-interpolation by means of filter-banks
  • Perez Villalon, Gerardo
Item Type: Article
Título de Revista/Publicación: IEEE Transactions on Signal Processing
Date: February 2010
ISSN: 1053-587X
Volume: 58
Faculty: E.U.I.T. Telecomunicación (UPM)
Department: Matemática Aplicada a la Ingeniería Técnica de Telecomunicación [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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

More information

Item ID: 9450
DC Identifier: https://oa.upm.es/9450/
OAI Identifier: oai:oa.upm.es:9450
DOI: 10.1109/TSP.2009.2037063
Official URL: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumb...
Deposited by: Memoria Investigacion
Deposited on: 10 Nov 2011 11:09
Last Modified: 20 Apr 2016 17:52
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