EPBOBs (Extended Pseudo Biorthogonal Bases) for Signal Recovery
Summary :
The purpose of this paper is to deal with the problem of recovering a signal from its noisy version. One example is to restore old images degraded by noise. The recovery solution is given within the framework of series expansion and we shall show that for the general case the recovery functions have to be elements of an extended pseudo biorthogonal basis (EPBOB) in order to suppress efficiently the corruption noise. After we discuss the different situations of noise, we provide some methods to construct the optimal EPBOB in order to deal with these situations.
- Publication
- IEICE TRANSACTIONS on Information Vol.E83-D No.2 pp.223-232
- Publication Date
- 2000/02/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Image Processing, Image Pattern Recognition
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Hidemitsu OGAWA, Nasr-Eddine BERRACHED, "EPBOBs (Extended Pseudo Biorthogonal Bases) for Signal Recovery" in IEICE TRANSACTIONS on Information,
vol. E83-D, no. 2, pp. 223-232, February 2000, doi: .
Abstract: The purpose of this paper is to deal with the problem of recovering a signal from its noisy version. One example is to restore old images degraded by noise. The recovery solution is given within the framework of series expansion and we shall show that for the general case the recovery functions have to be elements of an extended pseudo biorthogonal basis (EPBOB) in order to suppress efficiently the corruption noise. After we discuss the different situations of noise, we provide some methods to construct the optimal EPBOB in order to deal with these situations.
URL: https://global.ieice.org/en_transactions/information/10.1587/e83-d_2_223/_p
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@ARTICLE{e83-d_2_223,
author={Hidemitsu OGAWA, Nasr-Eddine BERRACHED, },
journal={IEICE TRANSACTIONS on Information},
title={EPBOBs (Extended Pseudo Biorthogonal Bases) for Signal Recovery},
year={2000},
volume={E83-D},
number={2},
pages={223-232},
abstract={The purpose of this paper is to deal with the problem of recovering a signal from its noisy version. One example is to restore old images degraded by noise. The recovery solution is given within the framework of series expansion and we shall show that for the general case the recovery functions have to be elements of an extended pseudo biorthogonal basis (EPBOB) in order to suppress efficiently the corruption noise. After we discuss the different situations of noise, we provide some methods to construct the optimal EPBOB in order to deal with these situations.},
keywords={},
doi={},
ISSN={},
month={February},}
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TY - JOUR
TI - EPBOBs (Extended Pseudo Biorthogonal Bases) for Signal Recovery
T2 - IEICE TRANSACTIONS on Information
SP - 223
EP - 232
AU - Hidemitsu OGAWA
AU - Nasr-Eddine BERRACHED
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E83-D
IS - 2
JA - IEICE TRANSACTIONS on Information
Y1 - February 2000
AB - The purpose of this paper is to deal with the problem of recovering a signal from its noisy version. One example is to restore old images degraded by noise. The recovery solution is given within the framework of series expansion and we shall show that for the general case the recovery functions have to be elements of an extended pseudo biorthogonal basis (EPBOB) in order to suppress efficiently the corruption noise. After we discuss the different situations of noise, we provide some methods to construct the optimal EPBOB in order to deal with these situations.
ER -
English
