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

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  • Pogány, Tibor

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.

Suggested Citation

  • Pogány, Tibor, 1992. "Sharp truncation error bound in the sampling reconstruction of homogeneous random fields," Statistics & Probability Letters, Elsevier, vol. 15(5), pages 345-348, December.
    • Handle: RePEc:eee:stapro:v:15:y:1992:i:5:p:345-348
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