An Optimal Polarization SAR Three-Component Target Decomposition Based on Semi-Definite Programming

The model-based polarimetric synthetic aperture radar (PolSAR) target decomposition decodes the scattering mechanism of the target by analyzing the essential scattering components. This paper presents a new general three-component scattering power decomposition method by establishing optimization pr...

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Main Authors: Tingting Wang, Zhiyong Suo, Penghui Jiang, Jingjing Ti, Zhiquan Ding, Tianqi Qin
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/15/22/5292
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author Tingting Wang
Zhiyong Suo
Penghui Jiang
Jingjing Ti
Zhiquan Ding
Tianqi Qin
author_facet Tingting Wang
Zhiyong Suo
Penghui Jiang
Jingjing Ti
Zhiquan Ding
Tianqi Qin
author_sort Tingting Wang
collection DOAJ
description The model-based polarimetric synthetic aperture radar (PolSAR) target decomposition decodes the scattering mechanism of the target by analyzing the essential scattering components. This paper presents a new general three-component scattering power decomposition method by establishing optimization problems. It is known that the existing three-component decomposition method prioritizes the contribution of volume scattering, which often leads to volume scattering energy overestimation and may make double-bounce scattering and odd-bounce scattering component power negative. In this paper, a full parameter optimization method based on the remainder matrix is proposed, where all the elements of the coherency matrix will be taken into account including the remaining T13 component. The optimization is achieved with no priority order by solving the problem using semi-definite programming (SDP) based on the Schur complement theory. By doing so, the problem of volume scattering energy overestimation and negative powers will be avoided. The performance of the proposed approach is demonstrated and evaluated with AIRSAR and GF-3 PolSAR data sets. The experimental results show that by using the proposed method, the power contributions of volume scattering in two sets of data were reduced by at least 2.6% and 3.7% respectively, compared to traditional methods. And the appearance of negative power of double-bounce scattering and odd-bounce scattering are also avoided compared with those of the existing three-component decomposition.
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spelling doaj.art-19f9852061984ddc929d58d07241ab142023-11-24T15:04:15ZengMDPI AGRemote Sensing2072-42922023-11-011522529210.3390/rs15225292An Optimal Polarization SAR Three-Component Target Decomposition Based on Semi-Definite ProgrammingTingting Wang0Zhiyong Suo1Penghui Jiang2Jingjing Ti3Zhiquan Ding4Tianqi Qin5National Key Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, ChinaNational Key Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, ChinaSichuan Institute of Aerospace Electronic Equipment, Chengdu 610100, ChinaNational Key Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, ChinaSichuan Institute of Aerospace Electronic Equipment, Chengdu 610100, ChinaSichuan Institute of Aerospace Electronic Equipment, Chengdu 610100, ChinaThe model-based polarimetric synthetic aperture radar (PolSAR) target decomposition decodes the scattering mechanism of the target by analyzing the essential scattering components. This paper presents a new general three-component scattering power decomposition method by establishing optimization problems. It is known that the existing three-component decomposition method prioritizes the contribution of volume scattering, which often leads to volume scattering energy overestimation and may make double-bounce scattering and odd-bounce scattering component power negative. In this paper, a full parameter optimization method based on the remainder matrix is proposed, where all the elements of the coherency matrix will be taken into account including the remaining T13 component. The optimization is achieved with no priority order by solving the problem using semi-definite programming (SDP) based on the Schur complement theory. By doing so, the problem of volume scattering energy overestimation and negative powers will be avoided. The performance of the proposed approach is demonstrated and evaluated with AIRSAR and GF-3 PolSAR data sets. The experimental results show that by using the proposed method, the power contributions of volume scattering in two sets of data were reduced by at least 2.6% and 3.7% respectively, compared to traditional methods. And the appearance of negative power of double-bounce scattering and odd-bounce scattering are also avoided compared with those of the existing three-component decomposition.https://www.mdpi.com/2072-4292/15/22/5292model-based decompositionpolarimetric SARfull parameter optimizationsemi-definite programmingSchur complement
spellingShingle Tingting Wang
Zhiyong Suo
Penghui Jiang
Jingjing Ti
Zhiquan Ding
Tianqi Qin
An Optimal Polarization SAR Three-Component Target Decomposition Based on Semi-Definite Programming
Remote Sensing
model-based decomposition
polarimetric SAR
full parameter optimization
semi-definite programming
Schur complement
title An Optimal Polarization SAR Three-Component Target Decomposition Based on Semi-Definite Programming
title_full An Optimal Polarization SAR Three-Component Target Decomposition Based on Semi-Definite Programming
title_fullStr An Optimal Polarization SAR Three-Component Target Decomposition Based on Semi-Definite Programming
title_full_unstemmed An Optimal Polarization SAR Three-Component Target Decomposition Based on Semi-Definite Programming
title_short An Optimal Polarization SAR Three-Component Target Decomposition Based on Semi-Definite Programming
title_sort optimal polarization sar three component target decomposition based on semi definite programming
topic model-based decomposition
polarimetric SAR
full parameter optimization
semi-definite programming
Schur complement
url https://www.mdpi.com/2072-4292/15/22/5292
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