Average sampling and reconstruction of reproducing kernel signals in mixed Lebesgue spaces

[摘要] In this paper, we mainly study the average sampling and reconstruction of signals in a reproducing kernel subspace of the mixed Lebesgue space L-P,L-q(Rm+n). First, the sampling stability for two kinds of average sampling functionals is considered. Then, the corresponding iterative approximation projection algorithms with exponential convergence are established. Finally, the asymptotic pointwise error estimates are given for reconstructing a signal from its average samples corrupted by additive random noise. (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-01

[关键词] Nonuniform sampling;Average sampling;Reproducing kernel subspace;Mixed Lebesgue space;Asymptotic pointwise error