A regularized two-dimensional sampling algorithm-Reference-Cited by-同舟云学术

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A regularized two-dimensional sampling algorithm

Published:2018-02-01 Issue:1 Volume:26 Page:67-84
ISSN:1569-3945
Container-title:Journal of Inverse and Ill-posed Problems
language:
Short-container-title:

Author:

Chen Weidong¹

Affiliation:

1. Department of Mathematics and Statistics, Minnesota State University, Mankato, MN 56001, USA

Abstract

AbstractIn this paper, a regularized sampling algorithm for band-limited signals is presented in the two-dimensional case. The convergence of the regularized sampling algorithm is studied and compared with Shannon’s sampling theorem and the Tikhonov regularization method by some examples.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2015-0049/pdf

Reference46 articles.

1. The ill-posedness of the sampling problem and regularized sampling algorithm;Digit. Signal Process.,2011

2. Sampling theorems for signals from the union of finite-dimensional linear subspaces;IEEE Trans. Inform. Theory,2009

3. A 2-dimensional generalized sampling theory and its application to deinterlacing;Visual Communications and Image Processing 2004,2004

4. Sampling and reconstruction in arbitrary measurement and approximation spaces associated with linear canonical transform;IEEE Trans. Signal Process.,2016

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Ill-Posedness of Derivative Interpolation and Regularized Derivative Interpolation for Non-Bandlimited Functions;Applied Mathematics;2022

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