engleski

Time shifted aliasing error upper bounds for truncated sampling cardinal series

Time shifted alisaing error upper bound extremals for the sampling reconstruction procedure are fully characterized. Sharp upper bounds are found on the alisaing error of truncated cardinal series and the corresponding extremals are described for the entire functions from certain specific $L^p, p \ge 1$ classes. Analogous results are obtained in multidimensional regular sampling. Truncation error analysis is provided in all cases considered. Sharpness of bounding inequalities. convergence rates and various sufficient conditions are discussed.

aliasing; approximation/interpolation erro level; asymptotic behaviour; Dirichlet Lambda; Extremal function; Fourier transform; incomplete Lambda function; multidimensional sampling; Plancherel-P\'olya inequality; regular sampling theorem; WKS sampling

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