On the random sampling amplitude error

Authors:
Shouyuan Yang;Zhanjie Song;Xingwei Zhou
Affiliations:
Department of Mathematics, Naikai University and LPMC, Tianjin, China;School of Science, Tianjin University, Tianjin, China;Department of Mathematics, Naikai University and LPMC, Tianjin, China
Venue:
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part I
Year:
2006

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Abstract

The main purpose of this paper is to examine the distribution of the random amplitude error for the sampling problem in diverse situations, and specific formulas are given, which reveal the connection between the random errors of the sampled values and the amplitude error caused by them. The information loss error is also included as a special case.