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

doi:10.3969/j.issn.0372-2112.2013.03.001

电子学报 ›› 2013, Vol. 41 ›› Issue (3): 417-423.DOI: 10.3969/j.issn.0372-2112.2013.03.001

• 学术论文 • 下一篇

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

何方敏^1,2, 李青侠², 赵治华¹, 陈柯²

1. 海军工程大学电力电子技术研究所, 湖北武汉 430033;
2. 华中科技大学电子与信息工程系, 湖北武汉 430074

收稿日期:2011-12-29 修回日期:2012-03-12 出版日期:2013-03-25 发布日期:2013-03-25
作者简介:何方敏 男,1982年出生于湖北天门,2010年获华中科技大学通信与信息系统专业博士学位,海军工程大学舰船综合电力技术国防科技重点实验室讲师.主要研究方向为电磁兼容与数字信号处理技术. E-mail:hefangmin82@gmail.com;李青侠 男,1966年出生于湖北武汉,1999年获华中理工大学电磁场与微波技术专业博士学位,华中科技大学电子与信息工程系教授,博士生导师,先后负责或参加国防科工委预研项目、国家自然科学基金项目、国家863计划重大项目及横向协作项目十余项.主要研究方向包括微波遥感、微波探测、智能天线技术等. E-mail:qingxia_li@hust.edu.cn
基金资助:
国家自然科学基金(No.61201055)

A Sparse Prior Based Statistical Inversion Approach for Aperture Synthesis Radiometric Imaging of Extended Source

HE Fang-min^1,2, LI Qing-xia², ZHAO Zhi-hua¹, CHEN Ke²

1. Research Institute of Power Technique, Navy University of Engineering, Wuhan, Hubei 430033, China;
2. Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China

Received:2011-12-29 Revised:2012-03-12 Online:2013-03-25 Published:2013-03-25

摘要/Abstract

摘要： 确定性的综合孔径辐射计反演方法没有考虑亮温分布先验信息的统计特性.针对亮温分布具有非连续特性的展源,本文提出了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.根据该方法,采用修正的差分算子提取亮温非连续分布展源中隐含的稀疏先验,建立稀疏先验概率分布的多层先验等效高斯模型,将图像反演等效为该模型超参数估计,并采用期望最大化算法估计该模型超参数.仿真和实验结果表明:与现有的综合孔径辐射计确定性反演方法相比,本文提出的反演方法不仅能有效提高反演图像的准确度,而且对综合孔径辐射计的各种误差鲁棒性更强.

关键词: 综合孔径, 辐射计, 展源, 稀疏先验, 统计反演

Abstract: In the deterministic inversion approaches for aperture synthesis radiometers (ASRs) imaging,the statistical property about the prior of brightness temperature distribution (BTD) is not taken into account.Aimed at the extended sources with discontinuous BTD,a sparse prior based statistical inversion approach (SIA) for ASRs imaging is proposed.According to the SIA,a modified difference operator is used to extract the implicit sparse prior about the discontinuous BTD of the extended sources,and the equivalent hierarchical prior Gaussian model for the sparse prior probability distribution is constructed.Then the inversion of ASRs is recast as hyperparameter estimation,and the expectation maximization algorithm is proposed to estimate the hyperparameter.The simulations and experiments show that the sparse prior based SIA can improve the radiometric accuracy of the reconstructed image and is more robust to the impacts of the imperfections of the ASRs as compared to the deterministic inversion approaches.

Key words: aperture synthesis, radiometer, extended source, sparse prior, statistical inversion

中图分类号:

TP722.6

何方敏, 李青侠, 赵治华, 陈柯. 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 Fang-min, LI Qing-xia, ZHAO Zhi-hua, CHEN Ke. A Sparse Prior Based Statistical Inversion Approach for Aperture Synthesis Radiometric Imaging of Extended Source[J]. Acta Electronica Sinica, 2013, 41(3): 417-423.

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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

A Sparse Prior Based Statistical Inversion Approach for Aperture Synthesis Radiometric Imaging of Extended Source

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