Sampling and Π-sampling expansions
Copyright policy )Sampling and Π-sampling expansions
Using the hyperfinite representation of functions and generalized functions, this paper develops a rigorous version of the so-called ``delta method'' approach to sampling theory. (For a derivation of the delta method using standard analysis, see \textit{M. Z. Nashed} and \textit{G. G. Walter} [Math. Control Signals Syst. 4, 363-390 (1991; Zbl 0734.46019)].) The nonstandard analysis approach adopted by the paper under review yields a slightly more general version of the classical WKS sampling theorem for band-limited functions.
- University of Aveiro Portugal
- De Montfort University United Kingdom
- University of Aveiro Portugal
Switching theory, application of Boolean algebra; Boolean functions, sampling expansions, WKS sampling theorem, nonstandard analysis, Nontrigonometric harmonic analysis, hyperfinite sums
Switching theory, application of Boolean algebra; Boolean functions, sampling expansions, WKS sampling theorem, nonstandard analysis, Nontrigonometric harmonic analysis, hyperfinite sums
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