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

共 50 条

[31] Multi-channel sampling theorems for band-limited signals with fractional Fourier transform
Feng Zhang
Ran Tao
Yue Wang
Science in China Series E: Technological Sciences, 2008, 51
[32] Derivative Sampling of Periodic and Nonperiodic Band-Limited Signals - Fourier Spectrum and Interpolation Formula
Breinbjerg, Olav
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2024, 72 (10) : 7821 - 7829
[33] Multi-channel sampling theorems for band-limited signals with fractional Fourier transform
ZHANG Feng
Science in China(Series E:Technological Sciences), 2008, (06) : 790 - 802
[34] Techniques for arbitrary sampling in two-dimensional Fourier transforms
Jurling, Alden S.
Bergkoetter, Matthew D.
Fienup, James R.
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2018, 35 (11) : 1784 - 1796
[35] Multi-channel sampling theorems for band-limited signals with fractional Fourier transform
Zhang Feng
Tao Ran
Wang Yue
SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES, 2008, 51 (06): : 790 - 802
[36] AMPLITUDE BIAS IN FOURIER-TRANSFORMS OF NOISY SIGNALS
PREWITT, JF
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1978, 26 (05) : 730 - 731
[37] EFFECT OF NOISY PHASE REFERENCE ON COHERENT DETECTION OF BAND-LIMITED OFFSET-QPSK SIGNALS
FAN, F
LI, LM
IEEE TRANSACTIONS ON COMMUNICATIONS, 1990, 38 (02) : 156 - 159
[38] On the efficient interpolation of stochastic band-limited signals
Universita di Salerno, Fisciano, Italy
Electromagnetics, 1 (35-50):
[39] ON A RECENT EXTRAPOLATION PROCEDURE FOR BAND-LIMITED SIGNALS
SONNENSCHEIN, A
DICKINSON, BW
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1982, 29 (02): : 116 - 117
[40] Universal sampling and interpolation of band-limited signals
Olevskii, Alexander
Ulanovskii, Alexander
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2008, 18 (03) : 1029 - 1052

← 1 2 3 4 5 →