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