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摘要: 利用GPS控制点辅助合成孔径雷达干涉测量（interferometric synthetic aperture radar，InSAR）进行相位解缠能提高InSAR相位解缠的精度。首先提出了一种以多个GPS控制点为解缠起算点的多解缠起算点枝切线相位解缠算法；然后，针对上述算法仍可能存在解缠孤岛，且无法得到残差点解缠值、无法保证整周未知数的整周特性的问题，提出了结合上述算法和基于马尔柯夫随机场的GPS辅助InSAR相位解缠算法的综合算法。实验结果表明，综合算法结合了多解缠起算点枝切线相位解缠算法和基于马尔柯夫随机场的GPS辅助InSAR相位解缠算法的优势，解缠精度高、解缠范围大。Abstract: The precision of interferometric synthetic aperture radar (InSAR) phase unwrapping can be improved by aid of global positioning system (GPS). In this paper, a new branch-cut phase unwrapping algorithm using several GPS control points as unwrapping initial points is proposed. However this algorithm cannot produce correct estimates in residues and isolated regions introduced by the placement of branch cuts. It cannot guarantee the integer properties of the unknown circle number.To solve these problems A new synthesis algorithm that combines the new algorithm with phase unwrapping algorithm with aid of GPS based on Markov random filed (MRF) is proposed. The experimental results show that the synthesis algorithm combines the advantages of new several unwrapping initial points branch-cut algorithms and algorithms based on MRF and can offer higher precision with greater spatial coverage.
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Keywords:
- GPS /
- InSAR /
- phase unwrapping /
- residue-cut /
- Markov random field
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图 3 4种算法解缠误差
Figure 3. Phase Errors after Application of Four Unwrapping Algorithms to Simulated Wrapped Interferogram
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图 4 实际缠绕干涉图及GPS站点分布
Figure 4. Real Wrapped Interferogram and Distribution of GPS Sites
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图 5 4种算法解缠结果
Figure 5. Unwrapping Results After Application of Four Unwrapping Algorithms to Real Wrapped Interferogram
表 1 不同噪声水平下4种算法均方根误差/rad
Table 1 RMS Errors After Application of Four Unwrapping Algorithms to Different Noise Level Data/rad
噪声标准差 解缠算法 枝切线法 Nbc算法 Gud算法 综合算法 非残差点 残差点 非残差点 残差点 0.2(0) 0.242 0.242 1.977 - 0.240 - 0.7(1 042) 1.104 0.700 2.774 3.249 0.700 2.143 1.1(5 849) 4.151 2.583 4.549 5.222 2.580 3.860 1.6(9 890) 4.380 3.644 5.058 6.003 3.634 6.256 
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表 2 4种算法比较
Table 2 Comparison of Four Algorithms
算法 解缠范围 是否存在解缠孤岛 解缠精度 解缠速度/min 枝切线法 非残差点 可能存在 较高 快 (0.2) Nbc算法 非残差点 可能存在，但存在可能性小于枝切线法 高 较快 (1) Gud算法 所有点 不存在 低 较慢 (32) 综合算法 所有点 不存在 高 慢 (34)
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