Image Restoration with Two-Dimensional Adaptive Filter Algorithms

Two-dimensional (TD) adaptive filtering is a technique that can be applied to many image, and signal processing applications. This paper extends the one-dimensional adaptive filter algorithms to TD structures and the novel TD adaptive filters are established. Based on this extension, the TD variable...

Full description

Bibliographic Details
Main Authors: M. Shams Esfand Abadi, S. Nikbakht
Format: Article
Language:English
Published: Iran University of Science and Technology 2011-06-01
Series:Iranian Journal of Electrical and Electronic Engineering
Subjects:
Online Access:http://ijeee.iust.ac.ir/browse.php?a_code=A-10-68-3&slc_lang=en&sid=1
_version_ 1828203018171973632
author M. Shams Esfand Abadi
S. Nikbakht
author_facet M. Shams Esfand Abadi
S. Nikbakht
author_sort M. Shams Esfand Abadi
collection DOAJ
description Two-dimensional (TD) adaptive filtering is a technique that can be applied to many image, and signal processing applications. This paper extends the one-dimensional adaptive filter algorithms to TD structures and the novel TD adaptive filters are established. Based on this extension, the TD variable step-size normalized least mean squares (TD-VSS-NLMS), the TD-VSS affine projection algorithms (TD-VSS-APA), the TD set-membership NLMS (TD-SM-NLMS), the TD-SM-APA, the TD selective partial update NLMS (TD-SPU-NLMS), and the TD-SPU-APA are presented. In TD-VSS adaptive filters, the step-size changes during the adaptation which leads to improve the performance of the algorithms. In TD-SM adaptive filter algorithms, the filter coefficients are not updated at each iteration. Therefore, the computational complexity is reduced. In TD-SPU adaptive algorithms, the filter coefficients are partially updated which reduce the computational complexity. We demonstrate the good performance of the proposed algorithms thorough several simulation results in TD adaptive noise cancellation (TD-ANC) for image restoration. The results are compared with the classical TD adaptive filters such as TD-LMS, TD-NLMS, and TD-APA
first_indexed 2024-04-12T11:58:23Z
format Article
id doaj.art-94ae281542384f94b72154498818258d
institution Directory Open Access Journal
issn 1735-2827
2383-3890
language English
last_indexed 2024-04-12T11:58:23Z
publishDate 2011-06-01
publisher Iran University of Science and Technology
record_format Article
series Iranian Journal of Electrical and Electronic Engineering
spelling doaj.art-94ae281542384f94b72154498818258d2022-12-22T03:33:56ZengIran University of Science and TechnologyIranian Journal of Electrical and Electronic Engineering1735-28272383-38902011-06-017284105Image Restoration with Two-Dimensional Adaptive Filter AlgorithmsM. Shams Esfand Abadi0S. Nikbakht1 Shahid Rajaee University Shahid Rajaee University Two-dimensional (TD) adaptive filtering is a technique that can be applied to many image, and signal processing applications. This paper extends the one-dimensional adaptive filter algorithms to TD structures and the novel TD adaptive filters are established. Based on this extension, the TD variable step-size normalized least mean squares (TD-VSS-NLMS), the TD-VSS affine projection algorithms (TD-VSS-APA), the TD set-membership NLMS (TD-SM-NLMS), the TD-SM-APA, the TD selective partial update NLMS (TD-SPU-NLMS), and the TD-SPU-APA are presented. In TD-VSS adaptive filters, the step-size changes during the adaptation which leads to improve the performance of the algorithms. In TD-SM adaptive filter algorithms, the filter coefficients are not updated at each iteration. Therefore, the computational complexity is reduced. In TD-SPU adaptive algorithms, the filter coefficients are partially updated which reduce the computational complexity. We demonstrate the good performance of the proposed algorithms thorough several simulation results in TD adaptive noise cancellation (TD-ANC) for image restoration. The results are compared with the classical TD adaptive filters such as TD-LMS, TD-NLMS, and TD-APAhttp://ijeee.iust.ac.ir/browse.php?a_code=A-10-68-3&slc_lang=en&sid=1Two dimensional Adaptive filter noise cancellation selective partial update variable step-size set-membership
spellingShingle M. Shams Esfand Abadi
S. Nikbakht
Image Restoration with Two-Dimensional Adaptive Filter Algorithms
Iranian Journal of Electrical and Electronic Engineering
Two dimensional
Adaptive filter
noise cancellation
selective partial update
variable step-size
set-membership
title Image Restoration with Two-Dimensional Adaptive Filter Algorithms
title_full Image Restoration with Two-Dimensional Adaptive Filter Algorithms
title_fullStr Image Restoration with Two-Dimensional Adaptive Filter Algorithms
title_full_unstemmed Image Restoration with Two-Dimensional Adaptive Filter Algorithms
title_short Image Restoration with Two-Dimensional Adaptive Filter Algorithms
title_sort image restoration with two dimensional adaptive filter algorithms
topic Two dimensional
Adaptive filter
noise cancellation
selective partial update
variable step-size
set-membership
url http://ijeee.iust.ac.ir/browse.php?a_code=A-10-68-3&slc_lang=en&sid=1
work_keys_str_mv AT mshamsesfandabadi imagerestorationwithtwodimensionaladaptivefilteralgorithms
AT snikbakht imagerestorationwithtwodimensionaladaptivefilteralgorithms