基于拉普拉斯算子的综合孔径辐射计成像算法

杨晓城; 杨真乙; 阎敬业; 武林; 蒋明峰

doi:10.12263/DZXB.20201283

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基于拉普拉斯算子的综合孔径辐射计成像算法

学术论文 | 更新时间：2025-12-08

- 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
- 电子学报 2022年50卷第2期页码：339-345
- 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：
  
  [ "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." ]
- 基金信息：
  
  国家自然科学基金(61672466;620115300130);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)
- DOI：10.12263/DZXB.20201283
  中图分类号： TP722.6;
- 收稿：2020-11-16，
  
  修回：2021-07-30，
  
  纸质出版：2022-02-25
- 稿件说明：
移动端阅览
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.

关键词

Keywords

references

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