Random average sampling and reconstruction in shift-invariant subspaces of mixed Lebesgue spaces

Ankush Kumar Garg; S. Arati; P. Devaraj

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arXiv · 2111.14321

Random average sampling and reconstruction in shift-invariant subspaces of mixed Lebesgue spaces

Ankush Kumar Garg·S. Arati·P. Devaraj

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Abstract

In this paper, the problem of reconstruction of signals in mixed Lebesgue spaces from their random average samples has been studied. Probabilistic sampling inequalities for certain subsets of shift-invariant spaces have been derived. It is shown that the probabilities increase to one when the sample size increases. Further, explicit reconstruction formulae for signals in these subsets have been obtained for which the numerical simulations have also been performed.

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BibTeX RIS

Ankush Kumar Garg, S. Arati, P. Devaraj. 2021-11-29. Random average sampling and reconstruction in shift-invariant subspaces of mixed Lebesgue spaces. https://arxiv.org/abs/2111.14321

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