Computation of two-dimensional Fourier transforms for noisy band-limited signals

被引：1

作者：

Chen, Weidong ^{[1
]}

机构：

[1] Univ Georgia, Dept Math, Athens, GA 30602 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 246卷

关键词：

Fourier transform; Band-limited signal; Ill-posedness; Regularization;

D O I：

10.1016/j.amc.2014.05.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the ill-posedness of computing the two dimensional Fourier transform is discussed. A regularized algorithm for computing the two dimensional Fourier transform of band-limited signals is presented. The convergence of the regularized Fourier series is studied and compared with the Fourier series by some examples. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：199 / 209

页数：11

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