Original scientific paper

On the multidimensional sampling theorem

Tibor K. Pogany
Predrag M. Peruničić

Abstract

The well known sampling theorem is extended to the multidimensional weakly stationary (but not necessarily band-limited) processes. The mean square and almost sure convergence of the sampling expansion sum is derived for full spectrum multidimensional processes.

Keywords

Sampling theorem; band-limited processes; multidimensional processes; L2-convergence; a.s. convergence

Hrčak ID:

4857

URI

https://hrcak.srce.hr/4857

Publication date:

1.6.2001.

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