Imaging Algorithm of Synthetic Aperture Interferometric Radiometers Based on Laplace Operator

YANG Xiao-cheng; YANG Zhen-yi; YAN Jing-ye; WU Lin; JIANG Ming-feng

doi:10.12263/DZXB.20201283

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Imaging Algorithm of Synthetic Aperture Interferometric Radiometers Based on Laplace Operator

PAPERS | 更新时间：2025-12-08

- Imaging Algorithm of Synthetic Aperture Interferometric Radiometers Based on Laplace Operator
- ACTA ELECTRONICA SINICA Vol. 50, Issue 2, Pages: 339-345(2022)
- 作者机构：
  
  1.浙江理工大学信息学院，浙江杭州 310018
  2.中国科学院国家空间科学中心，北京 100190
- 作者简介：
- 基金信息：
- DOI：10.12263/DZXB.20201283
  CLC： TP722.6;
- Received：16 November 2020，
  
  Revised：2021-07-30，
  
  Published：25 February 2022
- 稿件说明：
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杨晓城,杨真乙,阎敬业等.基于拉普拉斯算子的综合孔径辐射计成像算法[J].电子学报,2022,50(02):339-345.

YANG Xiao-cheng,YANG Zhen-yi,YAN Jing-ye,et al.Imaging Algorithm of Synthetic Aperture Interferometric Radiometers Based on Laplace Operator[J].ACTA ELECTRONICA SINICA,2022,50(02):339-345.
杨晓城,杨真乙,阎敬业等.基于拉普拉斯算子的综合孔径辐射计成像算法[J].电子学报,2022,50(02):339-345. DOI： 10.12263/DZXB.20201283.

YANG Xiao-cheng,YANG Zhen-yi,YAN Jing-ye,et al.Imaging Algorithm of Synthetic Aperture Interferometric Radiometers Based on Laplace Operator[J].ACTA ELECTRONICA SINICA,2022,50(02):339-345. DOI： 10.12263/DZXB.20201283.

摘要

成像反演是综合孔径辐射计的一项关键内容.然而，综合孔径辐射计成像反演是病态的反问题.虽然传统的正则化方法能有效克服其病态性，但依然存在较大的重构误差.为了进一步降低重构误差，提出一种基于拉普拉斯算子的综合孔径辐射计成像算法.与传统的单参数正则化不同，该算法通过引入拉普拉斯算子项，对差分亮温构造拉普拉斯混合正则化，并利用多维扩展的广义交叉验证准则选取2个正则化参数.基于L波段的FPIR样机进行了仿真分析，仿真结果表明：与改进的最小范数正则化和带限正则化相比，该算法均方根误差平均降低了30%，峰值信噪比平均提高了3 dB，证明了其有效性.

Abstract

The imaging inversion is a key content of synthetic aperture interferometric radiometers(SAIRs). However

the imaging inversion in SAIRs is an ill-posed inverse problem. Although the traditional regularization methods can effectively overcome the ill-conditioned property

there is still a large reconstruction error. In order to further reduce the reconstruction error

an imaging algorithm of SAIRs based on Laplace operator is proposed. Different from traditional single-parameter regularization

the proposed algorithm constructs the Laplace hybrid regularization for differential brightness temperature by introducing a new term of Laplace operator. Moreover

two regularization parameters are selected by use of multi-dimensional extended generalized cross-validation criterion. The simulation is based on the prototype of full polarization interferometric radiometer(FPIR). The simulation results show that compared with improved minimum norm regularization and band-limited regularization

the root mean square error for the proposed algorithm has reduced by 30%

and the peak signal to noise ratio has increased by 3 dB

proving its effectiveness.

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references

MARTÀN-NEIRA M , LEVINE D M , KERR Y , et al . Microwave interferometric radiometry in remote sensing: An invited historical review [J]. Radio Science , 2014 , 49 ( 6 ): 415 - 449 .

苗俊刚 , 郑成 , 胡岸勇 , 等 . 被动毫米波实时成像技术 [J]. 微波学报 , 2013 , 29 ( S1 ): 100 - 112 .

MIAO J G , ZHENG C , HU A Y , et al . Real-time passive millimeter wave imaging technology [J]. Journal of Microwaves , 2013 , 29 ( S1 ): 100 - 112 . (in Chinese)

黄永辉 , 吴季 . 二维综合孔径微波辐射计成像理论与方法研究 [J]. 电子学报 , 2002 , 30 ( 5 ): 697 - 701 .

HUANG YＨ , WU J . Study on image theory of high resolution two-dimensional synthetic aperture microwave radiometer [J]. Acta Electronica Sinica , 2002 , 30 ( 5 ): 697 - 701 . (in Chinese)

黄永辉 , 吴季 , 董晓龙 . 综合孔径微波辐射计顺轨方向亮温反演算法的研究 [J]. 电子学报 , 2000 , 28 ( 12 ): 108 - 110 .

HUANG Y H , WU J , DONG X L . Brightness temperature reconstruction in the along-track direction of a synthetic aperture microwave radiometer [J]. Acta Electronica Sinica , 2000 , 28 ( 12 ): 108 - 110 . (in Chinese)

PICARD B , ANTERRIEU E . Comparison of regularized inversion methods in synthetic aperture imaging radiometry [J]. IEEE Transactions on Geoscience and Remote Sensing , 2005 , 43 ( 2 ): 218 - 224 .

何方敏 , 李青侠 , 赵治华 , 等 . 一种基于稀疏先验的综合孔径展源辐射成像统计反演方法 [J]. 电子学报 , 2013 , 41 ( 3 ): 417 - 423 .

HE F M , LI Q X , ZHAO Z H , et al . A sparse prior based statistical inversion approach for aperture synthesis radiometric imaging of extended source [J]. Acta Electronica Sinica , 2013 , 41 ( 3 ): 417 - 423 . (in Chinese)

杨晓城 , 阎敬业 , 武林 , 等 . CGLS算法在综合孔径微波辐射计中的应用 [J]. 微波学报 , 2017 , 33 ( 4 ): 90 - 93, 96 .

YANG X C , YAN J Y , WU L , et al . Application of conjugate gradient least squares algorithm in synthetic aperture microwave radiometer [J]. Journal of Microwaves , 2017 , 33 ( 4 ): 90 - 93, 96 . (in Chinese)

ANTERRIEU E . A resolving matrix approach for synthetic aperture imaging radiometers [J]. IEEE Transactions on Geoscience and Remote Sensing , 2004 , 42 ( 8 ): 1649 - 1656 .

KHAZÂAL A , RICHAUME P , CABOT F , et al . Improving the spatial bias correction algorithm in SMOS image reconstruction processor: Validation of soil moisture retrievals with in situ data [J]. IEEE Transactions on Geoscience and Remote Sensing , 2019 , 57 ( 1 ): 277 - 290 .

李招文 , 李景 , 刘振海 . 非线性不适定问题的双参数正则化 [J]. 中国科学(A辑: 数学) , 2007 , 37 ( 9 ): 1117 - 1124 .

LI Z W , LI J , LIU Z H . Two-parameter regularization for nonlinear ill-posed problems [J]. Science in China(Series A: Mathematics) , 2007 , 37 ( 9 ): 1117 - 1124 . (in Chinese)

董晓龙 , 张升伟 , 吴季 , 等 . 综合孔径微波辐射计天线单元互耦的影响及其校正 [J]. 电子学报 , 2001 , 29 ( 9 ): 1280 - 1282 .

DONG X L , ZHANG S W , WU J , et al . Effect of mutual coupling between antenna elements on the imaging of synthetic aperture radiometer and its calibration [J]. Acta Electronica Sinica , 2001 , 29 ( 9 ): 1280 - 1282 . (in Chinese)

CORBELLA I , DUFFO N , VALL-LLOSSERA M , et al . The visibility function in interferometric aperture synthesis radiometry [J]. IEEE Transactions on Geoscience and Remote Sensing , 2004 , 42 ( 8 ): 1677 - 1682 .

董晓龙 , 吴季 , 姜景山 . 信道互耦和不平衡度对综合孔径微波辐射计复相关干涉测量的影响分析及其校准 [J]. 电子学报 , 2001 , 29 ( 7 ): 947 - 949 .

DONG X L , WU J , JIANG J S . Analysis and calibration of effects on complex correlations from mutual coupling and imbalance between channels [J]. Acta Electronica Sinica , 2001 , 29 ( 7 ): 947 - 949 . (in Chinese)

王飞鹏 , 吴季 . 综合孔径微波辐射计二阶量化数字相关器研究 [J]. 电子学报 , 2002 , 30 ( 3 ): 450 - 453 .

WANG F P , WU J . 1-bit digital correlator for synthetic aperture microwave radiometer [J]. Acta Electronica Sinica , 2002 , 30 ( 3 ): 450 - 453 . (in Chinese)

刘浩 , 吴季 , 吴琼 . 综合孔径微波辐射计信道误差分析与标定 [J]. 电子学报 , 2005 , 33 ( 3 ): 402 - 406 .

LIU H , WU J , WU Q . Analysis and calibration of the channels error of synthetic aperture radiometer [J]. Acta Electronica Sinica , 2005 , 33 ( 3 ): 402 - 406 . (in Chinese)

杨晓城 , 阎敬业 , 吴季 . 改进的G矩阵模型法在全极化综合孔径辐射计中的应用 [J]. 北京理工大学学报 , 2015 , 35 ( 7 ): 750 - 754 .

YANG X C , YAN J Y , WU J . Application of improved G matrix model in full polarization interferometric radiometer [J]. Transactions of Beijing Institute of Technology , 2015 , 35 ( 7 ): 750 - 754 . (in Chinese)

王文娟 , FARMER C , OCKENDON J , 等 . 双参数混合正则化方法及在电导率反演成像中的应用 [J]. 地球物理学报 , 2011 , 54 ( 8 ): 2154 - 2159 .

WANG W J , FARMER C , OCKENDON J , et al . A dual-parameter regularization method for electrical conductivity imaging [J]. Chinese Journal of Geophysics , 2011 , 54 ( 8 ): 2154 - 2159 . (in Chinese)

刘婷 , 戴亚康 , 杨莹雪 , 等 . 基于时域平滑约束的脑磁时序信号逆问题求解方法 [J]. 电子学报 , 2016 , 44 ( 12 ): 2823 - 2828 .

LIU T , DAI Y K , YANG Y X , et al . An MEG inverse solver by imposition of temporal smoothness constraint [J]. Acta Electronica Sinica , 2016 , 44 ( 12 ): 2823 - 2828 . (in Chinese)

GOLUB G H , VON MATT U . Generalized cross-validation for large-scale problems [J]. Journal of Computational and Graphical Statistics , 1997 , 6 ( 1 ): 1 - 34 .

BREZINSKI C , REDIVO-ZAGLIA M , RODRIGUEZ G , et al . Multi-parameter regularization techniques for ill-conditioned linear systems [J]. Numerische Mathematik , 2003 , 94 ( 2 ): 203 - 228 .

WU L , YAN J Y , ZHAO F , et al . Fpir: Demonstrator integration and ground-based salinity observation experiment [C]// IGARSS 2018-2018 IEEE International Geoscience and Remote Sensing Symposium . Valencia, Spain : IEEE , 2018 : 1021 - 1023 .

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