Sampling approximation of continuous functions with multidimensional domain

Abstract

After evaluating Shannon’s sampling theorem for functions of several variables, the aliasing error is estimated in dependence upon smoothness conditions. As a main tool the concept of multidimensional convolution integrals is introduced, in particular those of de La Valke Poussin, which are also helpful in constructing generalized sampling series having… (More)
DOI: 10.1109/TIT.1982.1056561

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