<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Quasi-interpolation by means of filter-banks"^^ . "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"^^ . "2010-02" . . . "58" . "3" . . "IEEE"^^ . . . "IEEE Transactions on Signal Processing"^^ . . . "1053587X" . . . . . . . "Gerardo"^^ . "Perez Villalon"^^ . "Gerardo Perez Villalon"^^ . . . . . . "Quasi-interpolation by means of filter-banks (PDF)"^^ . . . "INVE_MEM_2010_88030.pdf"^^ . . . "Quasi-interpolation by means of filter-banks (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Quasi-interpolation by means of filter-banks (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Quasi-interpolation by means of filter-banks (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Quasi-interpolation by means of filter-banks (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Quasi-interpolation by means of filter-banks (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #9450 \n\nQuasi-interpolation by means of filter-banks\n\n" . "text/html" . . . "Matemáticas"@es . "Mathematics"@en . .