Huynen has already provided a method to decompose a Mueller matrix in order to retrieve detailed target information in a polarimetric radar system. However, this decomposition sometimes fails in the presence of small error or noise in the elements of a Mueller matrix. This paper attempts to improve Huynen's decomposition method. First, we give the definition of stable decomposition and present an example, showing a problem of Huynen's approach. Then two methods are proposed to carry out stable decompositions, based on the nonlinear least square method and the Newton's method. Stability means the decomposition is not sensitive to noise. The proposed methods overcomes the problems on the unstable decomposition of Mueller matrix, and provides correct information of a target.
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Jian YANG, Yoshio YAMAGUCHI, Hiroyoshi YAMADA, Masakazu SENGOKU, Shiming LIN, "Stable Decomposition of Mueller Matrix" in IEICE TRANSACTIONS on Communications,
vol. E81-B, no. 6, pp. 1261-1268, June 1998, doi: .
Abstract: Huynen has already provided a method to decompose a Mueller matrix in order to retrieve detailed target information in a polarimetric radar system. However, this decomposition sometimes fails in the presence of small error or noise in the elements of a Mueller matrix. This paper attempts to improve Huynen's decomposition method. First, we give the definition of stable decomposition and present an example, showing a problem of Huynen's approach. Then two methods are proposed to carry out stable decompositions, based on the nonlinear least square method and the Newton's method. Stability means the decomposition is not sensitive to noise. The proposed methods overcomes the problems on the unstable decomposition of Mueller matrix, and provides correct information of a target.
URL: https://global.ieice.org/en_transactions/communications/10.1587/e81-b_6_1261/_p
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@ARTICLE{e81-b_6_1261,
author={Jian YANG, Yoshio YAMAGUCHI, Hiroyoshi YAMADA, Masakazu SENGOKU, Shiming LIN, },
journal={IEICE TRANSACTIONS on Communications},
title={Stable Decomposition of Mueller Matrix},
year={1998},
volume={E81-B},
number={6},
pages={1261-1268},
abstract={Huynen has already provided a method to decompose a Mueller matrix in order to retrieve detailed target information in a polarimetric radar system. However, this decomposition sometimes fails in the presence of small error or noise in the elements of a Mueller matrix. This paper attempts to improve Huynen's decomposition method. First, we give the definition of stable decomposition and present an example, showing a problem of Huynen's approach. Then two methods are proposed to carry out stable decompositions, based on the nonlinear least square method and the Newton's method. Stability means the decomposition is not sensitive to noise. The proposed methods overcomes the problems on the unstable decomposition of Mueller matrix, and provides correct information of a target.},
keywords={},
doi={},
ISSN={},
month={June},}
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TY - JOUR
TI - Stable Decomposition of Mueller Matrix
T2 - IEICE TRANSACTIONS on Communications
SP - 1261
EP - 1268
AU - Jian YANG
AU - Yoshio YAMAGUCHI
AU - Hiroyoshi YAMADA
AU - Masakazu SENGOKU
AU - Shiming LIN
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Communications
SN -
VL - E81-B
IS - 6
JA - IEICE TRANSACTIONS on Communications
Y1 - June 1998
AB - Huynen has already provided a method to decompose a Mueller matrix in order to retrieve detailed target information in a polarimetric radar system. However, this decomposition sometimes fails in the presence of small error or noise in the elements of a Mueller matrix. This paper attempts to improve Huynen's decomposition method. First, we give the definition of stable decomposition and present an example, showing a problem of Huynen's approach. Then two methods are proposed to carry out stable decompositions, based on the nonlinear least square method and the Newton's method. Stability means the decomposition is not sensitive to noise. The proposed methods overcomes the problems on the unstable decomposition of Mueller matrix, and provides correct information of a target.
ER -