Approximation of multidimensional stochastic processes from average sampling

被引：1

作者：

Song, Zhanjie ^{[1
,2
]}

机构：

[1] Tianjin Univ, Sch Sci, Tianjin 300072, Peoples R China

[2] Tianjin Univ, SKL HESS, Tianjin 300072, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

基金：

中国国家自然科学基金;

关键词：

sampling theorems; mean square sampling reconstruction; almost sure sampling reconstruction; scalar and vectorial wide sense stationary processes; BAND-LIMITED FUNCTIONS; RECONSTRUCTION; THEOREM;

D O I：

10.1186/1029-242X-2012-246

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The convergence property of sampling series, the estimate of truncation error in the mean square sense and the almost sure results on sampling theorem for multidimensional stochastic processes from average sampling are analyzed. These results are generalization of the classical results which were given by Balakrishnan (IRE Trans. Inf. Theory 3(2): 143-146, 1957) and Belyaev (Theory Probab. Appl. 4(4): 437-444, 1959) for random signals. Using inequalities in the mean square sense, the results of Pogany and Perunicic (Glas. Mat. 36(1): 155-167, 2001) were improved too.

引用

页数：9

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