基于截断奇异值的镜像综合孔径亮温重建方法

吴袁超; 吕容川; 窦昊锋; 李一楠; 李浩; 卢海梁; 罗丰; 李青侠

doi:10.11999/JEIT190886

基于截断奇异值的镜像综合孔径亮温重建方法

doi: 10.11999/JEIT190886

吴袁超¹,
吕容川^{1, 2, ,},
窦昊锋¹,
李一楠¹,
李浩¹,
卢海梁¹,
罗丰²,
李青侠³

1.
中国空间技术研究院西安分院西安 710000
2.
西安电子科技大学雷达信号处理国家重点实验室西安 710071
3.
华中科技大学电子信息与通信学院武汉 430074

基金项目: 国家自然科学基金(41706204)，钱学森青年创新基金(QXSCXJJ2017-504)，中国空间技术研究院西安分院自主研发课题(Y17-KJCX-04)

详细信息

作者简介:
吴袁超：女，1993年生，助理工程师，研究方向为微波遥感、被动微波辐射无源探测等

吕容川：女，1983年生，研究员，研究方向为全极化微波辐射计、被动微波遥感、大气探测等

窦昊锋：男，1992年生，博士后，研究方向为微波遥感、信号处理

李一楠：男，1985年生，高级工程师，研究方向为被动微波遥感、综合孔径微波辐射计系统设计等

李浩：男，1980年生，研究员，研究方向为全极化微波辐射计、综合孔径微波辐射计系统设计等

卢海梁：男，1986年生，博士，高级工程师，研究方向为被动微波辐射无源探测、被动微波遥感、射频干扰检测等

罗丰：男，1971年生，博士，教授，研究方向为雷达系统与雷达信号处理、高速实时信号处理与检测等

李青侠：男，1966年生，博士，教授，研究方向为微波遥感、天线阵列及信号处理

通讯作者:
吕容川　roselinda_Irc@163.com

中图分类号: V416.6
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出版历程
- 收稿日期: 2020-11-05
- 修回日期: 2020-06-04
- 网络出版日期: 2020-07-18
- 刊出日期: 2021-02-23

A Brightness Temperature Reconstruction Method for Mirrored Aperture Synthesis Based on Truncated Singular Values

1.
China Academy of Space Technology(Xi an), Xi’an 710000, China
2.
National Laboratory of Rader Signal Processing, Xidian University, Xi’an 710071, China
3.
School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan 430074, China

Funds: The National Natural Science Foundation of China (41706204), The Qian Xuesen Young Innovation Foundation (QXSCXJJ2017-504), The Independent Investigate Project of Xi’an Institute of China Academy of Space Technology (Y17-KJCX-04)

摘要

摘要:
镜像综合孔径(MAS)辐射计的图像重建是由余弦可见度函数到场景亮温的图像反演过程，余弦可见度函数由转移方程求解得到。而转移方程为不适定方程组，相关输出中一个较小的误差，都可能引起求解的余弦可见度函数存在较大偏离。因此，对这个不适定方程组的求解是整个亮温重建算法成功的关键。该文基于镜像综合孔径的基本原理，分析转移矩阵的病态性，将截断奇异值分解应用于转移方程的求解问题中。仿真与实验表明，该方法可以有效降低噪声，提升图像质量。
- 镜像综合孔径 /
- 截断奇异值 /
- 亮温重建
Abstract:
Image reconstruction for Mirrored Aperture Synthesis(MAS) radiometer is an image inversion process from cosine visibility function to brightness temperature, and the cosine visibility function is solved by the transformation equation. However, the transformation equation is ill-conditioned equation, and a small error in the correlation output causes a big deviation in the cosine visibility function. Therefore, the solution of the ill-conditioned equations is the key to the success of the brightness temperature reconstruction algorithm. Based on the basic principle of MAS, the ill-conditioned transformation matrix is analyzed, and the truncated singular value decomposition is applied to the solution of the transformation equation for MAS. Simulation and experiment show that this method can effectively reduce noise and improve image quality.
- Mirrored Aperture Synthesis(MAS) /
- Truncated singular values /
- Brightness temperature reconstruction

HTML全文

图 1 镜像综合孔径示意图

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图 2 双L阵列

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图 3 理想重建亮温图像

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图 4 带系统噪声的重建亮温图像

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图 5 转移矩阵P 的奇异值

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图 6 截断奇异值分解后的重建亮温图像

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图 7 实物图

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图 8 实验场景

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图 9 电暖器的重建亮温图像

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图 10 截断奇异值后的电暖器重建亮温图像

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表 1 满阵的秩

天线单元数 9 15 25 35 49 63

转移矩阵P大小 36×42 105×74 300×116 595×156 1176×220 1953×284
rank(P) 24 48 95 131 191 251

下载: 导出CSV

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