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首页> 外文期刊>IEEE Geoscience and Remote Sensing Letters >Four-Component Scattering Power Decomposition of Remainder Coherency Matrices Constrained for Nonnegative Eigenvalues
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Four-Component Scattering Power Decomposition of Remainder Coherency Matrices Constrained for Nonnegative Eigenvalues

机译：非负特征值约束的剩余相干矩阵的四分量散射功率分解

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摘要

The motivation of this letter is to resolve the nonnegative eigenvalue constraint (NNEC) problem of four-component decomposition (FCD). It is analyzed that the NNEC is an essential requirement for remainder coherency matrices in the FCD, however the measured polarimetric synthetic aperture radar (POLSAR) data experiment shows there exits the NNEC problem that some remainder coherency matrices of the FCD do not satisfy the NNEC, which means these matrices are not positive semi-definite. In addition, it is analyzed that the scheme using the nonnegative eigenvalue decomposition (NNED) for three-component decomposition (TCD) cannot be directly extended to the FCD to overcome the NNEC problem, so a scheme using the NNED for the FCD is proposed as follow. From matrix theory, we draw a conclusion that if the last remainder coherency matrix satisfies the NNEC, then all remainder coherency matrices also satisfy the NNEC; we successively analyze that the NNEC problem of the last remainder coherency matrices results from the overestimation of scattering powers. Then a shrinkage coefficient is used to depress all possible overestimations of scattering powers, and the overestimation case with the minimum remainder power is chosen to resolve the NNEC problem. Moreover, we have simplified the solution to NNED, which is used to calculate the shrinkage coefficient. The measured POLSAR data experiment shows that the proposed FCD can further enhance double-bounce scattering and depress volume scattering for urban areas.
机译：这封信的动机是解决四分量分解（FCD）的非负特征值约束（NNEC）问题。分析表明，NNEC是FCD中其余相干矩阵的基本要求，但是实测极化合成孔径雷达（POLSAR）数据实验表明，存在NNEC问题，即FCD的某些残留相干矩阵不满足NNEC，这意味着这些矩阵不是正半定的。另外，分析了将非负特征值分解（TCD）应用于非负特征值分解的方案不能直接扩展到FCD来克服NNEC问题，因此提出了将NNED用于FCD的方案作为解决方案。跟随。从矩阵理论出发，我们得出的结论是，如果最后一个剩余相干矩阵满足NNEC，则所有剩余相干矩阵也将满足NNEC。我们相继分析了最后剩余相干矩阵的NNEC问题是由散射功率的高估引起的。然后，使用收缩系数来抑制所有可能的散射功率高估，并选择具有最小剩余功率的高估情况来解决NNEC问题。此外，我们还简化了用于计算收缩系数的NNED的解决方案。实测的POLSAR数据实验表明，所提出的FCD可以进一步增强城市的双反射散射并降低体积散射。

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