Sampling and interpolation of bandlimited functions

被引：0
|
作者：
Han Huili [1 ]
Hua, Liu [2 ]
机构：
[1] Ningxia Univ, Sch Math & Stat, Ningxia, Peoples R China
[2] Tianjin Univ Technol & Educ, Fac Sci, Tianjin, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2020年 / 65卷 / 11期
关键词：
Sampling theorem; Lagrange interpolation; uniform nodes;
D O I：
10.1080/17476933.2019.1684483
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we discuss the Lagrange interpolation of the entire functions on the real line, which is motivated by the sampling theory. We first define the uniform distribution of interpolation (sampling) nodes. Then we prove that the sampled signal (or function interpolated) can be reconstructed from the sampling (or interpolation) for some bandlimited entire functions
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页码：1862 / 1870
页数：9
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