A Brightness Temperature Reconstruction Method for Mirrored Aperture Synthesis Based on Truncated Singular Values
-
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。
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.
-
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
-
刘一良. 微波遥感的发展与应用[J]. 沈阳工程学院学报: 自然科学版, 2008, 4(2): 171–173. doi: 10.3969/j.issn.1673-1603.2008.02.023LIU Yiliang. The development and application of microwave sensing[J]. Journal of Shenyang Institute of Engineering:Natural Science, 2008, 4(2): 171–173. doi: 10.3969/j.issn.1673-1603.2008.02.023 HARVEY A R, GREENAWAY A H, CAMPS A, et al. Millimeter-wave aperture synthesis for remote sensing of the Earth[J]. SPIE, 1998: 82–93. doi: 10.1117/12.333620. 牛立杰, 刘浩, 吴季. 高灵敏度、高稳定度微波辐射计技术研究与实验验证[J]. 电子与信息学报, 2017, 39(8): 2028–2032. doi: 10.11999/JEIT161112NIU Lijie, LIU Hao, and WU Ji. Research and experimental verification on high sensitivity and high stability microwave radiometer[J]. Journal of Electronics &Information Technology, 2017, 39(8): 2028–2032. doi: 10.11999/JEIT161112 CHEN Liangbing, LI Qingxia, GUO Wei, et al. One-dimensional mirrored interferometric aperture synthesis[J]. IEEE Geoscience and Remote Sensing Letters, 2010, 7(2): 357–361. doi: 10.1109/lgrs.2009.2035340 陈良兵. 镜像综合孔径微波辐射成像方法研究[D]. [博士论文], 华中科技大学, 2010. doi: 10.7666/d.d152610.CHEN Liangbing. Microwave radiometric imaging with mirrored interferometric aperture synthesis[D]. [Ph.D. dissertation], Huazhong University of Science and Technology, 2010. doi: 10.7666/d.d152610. LI Yufang, LI Qingxia, and FENG Li. Relationship between mirrored aperture synthesis radiometers and aperture synthesis radiometers[J]. IEEE Geoscience and Remote Sensing Letters, 2017, 14(5): 631–635. doi: 10.1109/LGRS.2017.2666824 CHEN Liangbing, WANG Yuhao, ZHOU Huilin, et al. Experimental verification of one-dimensional mirrored aperture synthesis[C]. IGARSS 2018-2018 IEEE International Geoscience and Remote Sensing Symposium, Valencia, Spain, 2018: 1187–1190. doi: 10.1109/IGARSS.2018.8519561. DOU Haofeng, GUI Liangqi, LI Qingxia, et al. Initial results of microwave radiometric imaging with mirrored aperture synthesis[J]. IEEE Transactions on Geoscience and Remote Sensing, 2019, 57(10): 8105–8117. doi: 10.1109/TGRS.2019.2918308 DOU Haofeng, LI Qingxia, GUI Liangqi, et al. One-dimensional mirrored aperture synthesis with rotating reflector[J]. IEEE Geoscience and Remote Sensing Letters, 2018, 15(2): 197–201. doi: 10.1109/LGRS.2017.2779561 张贤达. 矩阵分析与应用[M]. 2版. 北京: 清华大学出版社, 2013: 341–358.ZHANG Xianda. Matrix Analysis and Applications[M]. 2nd ed. Beijing: Tsinghua University Press, 2013: 341–358. CHEN Liangbing, RAO Zhaomin, WANG Yuhao, et al. The maximum rank of the transfer matrix in 1-d mirrored interferometric aperture synthesis[J]. IEEE Geoscience and Remote Sensing Letters, 2017, 14(9): 1580–1583. doi: 10.1109/lgrs.2017.2724602 LEHTOLA L, KARSIKAS M, KOSKINEN M, et al. Effects of noise and filtering on SVD-based morphological parameters of the T wave in the ECG[J]. Journal of Medical Engineering & Technology, 2008, 32(5): 400–407. doi: 10.1080/03091900701248713 代荡荡, 王先培, 赵宇, 等. 一种改进的奇异值降噪阶次选取方法用于紫外光谱信号去噪的研究[J]. 光谱学与光谱分析, 2016, 36(7): 2139–2143. doi: 10.3964/j.issn.1000-0593(2016)07-2139-05DAI Dangdang, WANG Xianpei, ZHAO Yu, et al. Research on denoising ultraviolet spectrum signal with an improved effective singular value selection method[J]. Spectroscopy and Spectral Analysis, 2016, 36(7): 2139–2143. doi: 10.3964/j.issn.1000-0593(2016)07-2139-05 JUNG W H and LEE S G. An R-peak detection method that uses an SVD filter and a search back system[J]. Computer Methods and Programs in Biomedicine, 2012, 108(3): 1121–1132. doi: 10.1016/j.cmpb.2012.08.002 VANLANDUIT S, CAUBERGHE B, GUILLAUME P, et al. Reduction of large frequency response function data sets using a robust singular value decomposition[J]. Computers & Structures, 2006, 84(12): 808–822. doi: 10.1016/j.compstruc.2005.12.001 王雅静, 袁曦, 申晋, 等. 噪声动态光散射数据Tikhonov与截断奇异值正则化反演[J]. 光学 精密工程, 2018, 26(9): 2269–2279. doi: 10.3788/OPE.20182609.2267WANG Yajing, YUAN Xi, SHEN Jin, et al. Inversion of Tikhonov and truncated singular value decomposition regularization for noisy dynamic light scattering data[J]. Optics and Precision Engineering, 2018, 26(9): 2269–2279. doi: 10.3788/OPE.20182609.2267 陈艳浩, 刘中艳, 周丽宴. 基于差异混合掩码与混沌Gyrator变换的光学图像加密算法[J]. 电子与信息学报, 2019, 41(4): 888–895. doi: 10.11999/JEIT180456CHEN Yanhao, LIU Zhongyan, and ZHOU Liyan. Optical image encryption algorithm based on differential mixed mask and chaotic gyrator transform[J]. Journal of Electronics &Information Technology, 2019, 41(4): 888–895. doi: 10.11999/JEIT180456 LI Qinexia, DOU Haofene, GUI Liangqi, et al. MAS-V: Experimental system of mirrored aperture synthesis at V BAND[C]. IGARSS 2018-2018 IEEE International Geoscience and Remote Sensing Symposium, Valencia, Spain, 2018: 1013–1016. doi: 10.1109/IGARSS.2018.8518080. 李青侠, 窦昊锋, 陈良兵, 等. 镜像综合孔径微波辐射成像原理验证实验研究[J]. 上海航天, 2018, 35(2): 126–135. doi: 10.19328/j.cnki.1006-1630.2018.02.016LI Qingxia, DOU Haofeng, CHEN Liangbing, et al. Research on experimental verification of principle of microwave radiometric imaging with mirrored aperture synthesis[J]. Aerospace Shanghai, 2018, 35(2): 126–135. doi: 10.19328/j.cnki.1006-1630.2018.02.016 -
图(10) / 表(1)
计量
- 文章访问数: 1660
- HTML全文浏览量: 505
- PDF下载量: 45
- 被引次数: 0
下载:
