基于拉普拉斯算子的综合孔径辐射计成像算法

doi:10.12263/DZXB.20201283

电子学报 ›› 2022, Vol. 50 ›› Issue (2): 339-345.DOI: 10.12263/DZXB.20201283

基于拉普拉斯算子的综合孔径辐射计成像算法

杨晓城¹, 杨真乙¹, 阎敬业², 武林², 蒋明峰¹

^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

收稿日期:2020-11-16 修回日期:2021-07-30 出版日期:2022-02-25
- 作者简介:
- 杨晓城男，1988年12月出生于江西九江.浙江理工大学信息学院讲师.研究方向为综合孔径辐射计、图像处理.E-mail: yangxiaoch209@163.com
  杨真乙男，1996年12月出生于浙江台州.浙江理工大学信息学院硕士研究生.研究方向为综合孔径辐射计、图像处理.
- 基金资助:
- 国家自然科学基金 (61672466); 浙江省自然科学基金 (LY18D060009); 浙江省自然科学基金-数理医学学会联合基金重点项目 (LSZ19F010001); 浙江省科技厅重点研发项目 (2020C03060)

Imaging Algorithm of Synthetic Aperture Interferometric Radiometers Based on Laplace Operator

YANG Xiao-cheng¹, YANG Zhen-yi¹, YAN Jing-ye², WU Lin², JIANG Ming-feng¹

^1.School of Information Science and Technology, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, China
^2.National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China

Received:2020-11-16 Revised:2021-07-30 Online:2022-02-25 Published:2022-02-25
- Supported by:
- National Natural Science Foundation of China (61672466); National Natural Science Foundation of Zhejiang Province, China (LY18D060009); Key Program of Joint Fund of National Natural Science Foundation of Zhejiang Province and Zhejiang Society for Mathematical Medicine (LSZ19F010001); Key R&D Project of Science and Technology Department of Zhejiang Province (2020C03060)

摘要/Abstract

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.

关键词: 被动微波遥感, 综合孔径辐射计, 正则化, 重构误差, 拉普拉斯算子

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.

Key words: passive microwave remote sensing, synthetic aperture interferometric radiometer, regularization, reconstruction error, Laplace operator

中图分类号:

TP722.6

杨晓城, 杨真乙, 阎敬业, 武林, 蒋明峰. 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(2): 339-345.

YANG Xiao-cheng, YANG Zhen-yi, YAN Jing-ye, WU Lin, JIANG Ming-feng. Imaging Algorithm of Synthetic Aperture Interferometric Radiometers Based on Laplace Operator[J]. Acta Electronica Sinica, 2022, 50(2): 339-345.

图/表 7

图1 FPIR双频天线阵列布局

图2 综合孔径方向归一化天线方向图

图3 原始亮温分布

图4 重构结果

表1 不同成像算法的重构误差

成像算法	海洋区域		海陆交界
成像算法	RMSE	PSNR	RMSE	PSNR
改进的最小范数正则化	0.68 K	51.44 dB	1.77 K	43.19 dB
改进的带限正则化	2.15 K	41.50 dB	2.46 K	40.30 dB
拉普拉斯混合正则化	0.38 K	56.59 dB	1.58 K	44.18 dB

图5 不同噪声情况下纯海洋区域重构结果性能

图6 不同噪声情况下海陆交界区域重构结果性能

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基于拉普拉斯算子的综合孔径辐射计成像算法

Imaging Algorithm of Synthetic Aperture Interferometric Radiometers Based on Laplace Operator

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