中国余数定理在双基线InSAR相位解缠中的应用

摘要

介绍利用中国余数定理求解同余方程组的基本公式，并将中国余数定理引入到双基线InSAR相位解缠中。构造关于干涉相位模糊数的同余方程组，设计基于中国余数定理的双基线InSAR相位解缠方法，扩展相位解缠的非模糊区间，为解决干涉相位欠采样区域的相位解缠难题奠定基础。利用不同地区的多套DEM仿真的双基线lnSAR干涉图进行相位解缠试验，验证该方法在干涉相位欠采样等区域的解缠能力。%The basic formulation of solving congruence equations with Chinese Remainder Theorem （CRT） is introduced, and CRT is applied to phase unwrapping for dual-baseline InSAR. The congruence equations refer to interferometric phase fuzzy numbers are designed, and the phase unwrapping method for dual-baseline InSAR based on Chinese Remainder Theorem is proposed. In this algorithm, the un-fuzzy phase interval of phase unwrapping is extended, which helps to solve the difficult problem of phase unwrapping in sub-sampling area. The phase unwrapping experiments are done with simulated interferograms from different areas DEMs. The satisfying phase unwrapping results are gotten, as validated the phase unwrapping ability for the proposed algorithm in sub-sampling area.