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

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  • Suping Wang
  • Zhanjie Song

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.

Suggested Citation

  • Suping Wang & Zhanjie Song, 2022. "Average sampling theorem for the homogeneous random fields in a reproducing kernel subspace of mixed Lebesgue space," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(8), pages 2580-2589, April.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:8:p:2580-2589
    DOI: 10.1080/03610926.2020.1777310
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