In this paper we study a class of bivariate generalized sampling operators and we give a general asymptotic formula for the pointwise convergence. This kind of operators have great importance in the development of mathematical models for signal recovering. Moreover we study a quantitative version in terms of Peetre K-functional. We apply the results to box type kernels and bandlimited radial kernels as for example the Bochner-Riesz kernel.
Generalized sampling approximation of bivariate signals: rate of pointwise convergence
BARDARO, Carlo;MANTELLINI, Ilaria
2010
Abstract
In this paper we study a class of bivariate generalized sampling operators and we give a general asymptotic formula for the pointwise convergence. This kind of operators have great importance in the development of mathematical models for signal recovering. Moreover we study a quantitative version in terms of Peetre K-functional. We apply the results to box type kernels and bandlimited radial kernels as for example the Bochner-Riesz kernel.File in questo prodotto:
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