Sharp truncation error bound in the sampling reconstruction of homogeneous random fields

Tibor Pogány

Statistics & Probability Letters, 1992, vol. 15, issue 5, 345-348

Abstract: An arbitrarily sharp upper bound is established for the magnitude of the mean-square truncation error in the sampling expansion of a band-limited homogeneous random field. As a main tool, the Benstein bound on the remainder of the symmetric complex Fourier series of the function exp(i[lambda]t) is introduced. As a simple consequence of the derived result, the convergence rate is ordered in the almost sure sampling reconstruction.

Keywords: Homogeneous; random; fields; band-limited; signals; mean-square; truncation; error; almost; sure; sampling; truncation; error (search for similar items in EconPapers)
Date: 1992
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