Nonuniform sampling in multiply generated shift-invariant subspaces of mixed lebesgue spaces

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作者：
Xing, Nan [1 ]
机构：
[1] Department of Basic Education and Research, Changchun Guanghua College, Changchun, Jilin,130033, China
来源：
IAENG International Journal of Applied Mathematics | 2020年 / 50卷 / 03期
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摘要：
This work is devoted to the nonuniform sampling problem in shift-invariant subspaces of mixed Lebesgue spaces. We first define what multiply generated shift-invariant subspaces in mixed Lebesgue spaces L p,q Rd+1 are. Then we proposed a fast reconstruction algorithm which allows to exactly reconstruct the signals f in the multiply generated shiftinvariant subspaces when the sampling set X = f(xj, yk) : k j J is sufficiently dense. © 2020 International Association of Engineers.
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页码：584 / 588
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