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

被引：0

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

关键词：

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：584 / 588

共 50 条

[1] Nonuniform average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces
Zhang, Qingyue
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2020, 18 (03)
[2] Frame-based Average Sampling in Multiply Generated Shift-invariant Subspaces of Mixed Lebesgue Spaces
Jiang, Yingchun
Li, Jiao
TAIWANESE JOURNAL OF MATHEMATICS, 2021, 25 (03): : 535 - 552
[3] Random sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces Lp,q(R x Rd)
Jiang, Yingchun
Li, Wan
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 386
[4] Nonuniform Average Sampling and Reconstruction in Multiply Generated Shift-Invariant Spaces
Akram Aldroubi
Qiyu Sun
Wai-Shing Tang
Constructive Approximation , 2004, 20 : 173 - 189
[5] Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces
Aldroubi, A
Sun, QY
Tang, WS
CONSTRUCTIVE APPROXIMATION, 2004, 20 (02) : 173 - 189
[6] Random Average Sampling and Reconstruction in Shift-Invariant Subspaces of Mixed Lebesgue Spaces
Arati, S.
Devaraj, P.
Garg, Ankush Kumar
RESULTS IN MATHEMATICS, 2022, 77 (06)
[7] Random Average Sampling and Reconstruction in Shift-Invariant Subspaces of Mixed Lebesgue Spaces
S. Arati
P. Devaraj
Ankush Kumar Garg
Results in Mathematics, 2022, 77
[8] Nonuniform sampling in principal shift-invariant subspaces of mixed Lebesgue spaces Lp,q(Rd+1)
Li, Rui
Liu, Bei
Liu, Rui
Zhang, Qingyue
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 453 (02) : 928 - 941
[9] Average sampling and reconstruction for signals in shift-invariant subspaces of weighted mixed Lebesgue spaces
Wang, Suping
Zhang, Jiaxing
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 9507 - 9523
[10] Random sampling and reconstruction in multiply generated shift-invariant spaces
Yang, Jianbin
ANALYSIS AND APPLICATIONS, 2019, 17 (02) : 323 - 347

← 1 2 3 4 5 →