On Complete Model-Based Decomposition of Polarimetric SAR Coherency Matrix Data
On Complete Model-Based Decomposition of Polarimetric SAR Coherency Matrix Data
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DOI：
10.1109/tgrs.2013.2257603
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发表时间：
2014-04-01
影响因子：
8.2
通讯作者：
Singh, Gulab
中科院分区：
文献类型：
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作者：
Cui, Yi;Yamaguchi, Yoshio;Singh, Gulab
提出了一种基于模型的极化合成孔径雷达(POLSAR)相干矩阵数据完全分解的通用方案。我们证明了POLSAR相干矩阵可以完全分解为三个由体散射贡献的分量和两个单个散射体(用秩1矩阵来表征)。在该方案下，体散射功率的求解归结为广义特征分解问题，并且非负功率约束唯一地确定最小本征值为体散射功率。此外，为了区分剩余的成分，我们提出了两种方法。一种是基于特征分解的方法，另一种是基于模型拟合的方法，这两种方法都能很好地解决表面和双反弹散射模糊问题。因此，本文特别对基于模型的POLSAR分解的两个未决需求做出了贡献。首先，它克服了负功率问题，即严格保证所有分解的功率都是非负的；其次，三分量分解准确地考虑了观测到的相干矩阵的每个元素，从而完全利用了全极化信息。
In this paper, a general scheme for complete model-based decomposition of the polarimetric synthetic aperture radar (POLSAR) coherency matrix data is presented. We show that the POLSAR coherency matrix can be completely decomposed into three components contributed by volume scattering and two single scatterers (characterized by rank-1 matrices). Under this scheme, solving for the volume scattering power amounts to a generalized eigendecomposition problem, and the nonnegative power constraint uniquely determines the minimum eigenvalue as the volume scattering power. Furthermore, in order to discriminate the remaining components, we propose two approaches. One is based on eigendecomposition, and the other is based on model fitting, both of which are shown to properly resolve the surface and double-bounce scattering ambiguity. As a result, this paper in particular contributes to two pending needs for model-based POLSAR decomposition. First, it overcomes negative power problems, i.e., all the decomposed powers are strictly guaranteed to be nonnegative; and second, the three-component decomposition exactly accounts for every element of the observed coherency matrix, leading to a complete utilization of the fully polarimetric information.