Irregular sampling for multivariate band-limited functions

被引：0

作者：

Sun, WC ^{[1
]}

Zhou, XW ^{[1
]}

机构：

[1] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 2002年 / 45卷 / 12期

关键词：

irregular sampling; band-limited functions; sampling theorems;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some new algorithms to reconstruct multivariate band-limited functions from irregular sampled values, which allow more arbitrary sampling points and lower sampling densities than known results.

引用

页码：1548 / 1556

页数：9

共 50 条

[21] Sampling of Band-Limited Vectors
Isaac Pesenson
Journal of Fourier Analysis and Applications, 2001, 7 : 93 - 100
[22] NONUNIFORM SAMPLING OF BAND-LIMITED FUNCTIONS OF POLYNOMIAL-GROWTH
WALTER, GG
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (04) : 995 - 1003
[23] SAMPLING THEORY FOR NOT NECESSARILY BAND-LIMITED FUNCTIONS - A HISTORICAL OVERVIEW
BUTZER, PL
STENS, RL
SIAM REVIEW, 1992, 34 (01) : 40 - 53
[24] On an Approximation by Band-Limited Functions
Yu. A. Kriksin
V. F. Tishkin
Doklady Mathematics, 2024, 110 (3) : 500 - 505
[25] REPRESENTATION FOR BAND-LIMITED FUNCTIONS
GALLAGHER, NC
WISE, GL
PROCEEDINGS OF THE IEEE, 1975, 63 (11) : 1624 - 1625
[26] BAND-LIMITED SIGNALS AND SAMPLING THEOREM
SUGIYAMA, H
ELECTRONICS & COMMUNICATIONS IN JAPAN, 1966, 49 (09): : 100 - &
[27] Universal sampling of band-limited signals
Olevskii, A
Ulanovskii, A
COMPTES RENDUS MATHEMATIQUE, 2006, 342 (12) : 927 - 931
[28] Recovery of Band-Limited Functions on Locally Compact Abelian Groups from Irregular Samples
H. G. Feichtinger
S. S. Pandey
Czechoslovak Mathematical Journal, 2003, 53 : 249 - 264
[29] EXACT INTERPOLATION OF BAND-LIMITED FUNCTIONS
KOHLENBERG, A
JOURNAL OF APPLIED PHYSICS, 1953, 24 (12) : 1432 - 1436
[30] Recovery of band-limited functions on locally compact Abelian groups from irregular samples
Feichtinger, HG
Pandey, SS
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2003, 53 (02) : 249 - 264

← 1 2 3 4 5 →