Average sampling theorem for the homogeneous random fields in a reproducing kernel subspace of mixed Lebesgue space

Suping Wang and Zhanjie Song

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 8, 2580-2589

Abstract: In this paper, we mainly investigate the average sampling problem for the homogeneous random fields in a reproducing kernel subspace of mixed Lebesgue space. Based on the counterpart sampling result for the deterministic signals in the same space, a mean square convergence result for recovering the homogeneous random fields by the iterative reconstruction algorithm is obtained.

Date: 2022
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DOI: 10.1080/03610926.2020.1777310

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