加权最小二乘相位解缠的一种改进

AN IMPROVED ALGORITHM OF WEIGHTED LEAST-SQUARES FOR PHASE UNWRAPPING

基于最小二乘相位解缠原理,针对现有的加权和不加权最小二乘在残差点过多时计算结果平滑问题,提出利用相位导数变化图对其进行加权改进。结合真实数据,通过现有的加权与不加权最小二乘算法的比较和分析,证明该改进算法能有效处理残差点过多的情况,解缠精度高,解缠结果更可靠。

Phase unwrapping is the key step in topographic elevation mapping and reconstruction of three-di- mensional terrain model by Interferometric Synthetic Aperture Radar （InSAR）. Considering the problem that the existing weighted and unweighted least-squares phase unwrapping results need smoothing, an improved algorithm using phase derivative variance map based on the principle of Least-squares phase unwrapping is proposed. With the real InSAR data, by comparison of the improved algorithm with the existing weighted and unweighted least-squares algorithm, it is verified that the proposed algorithm can effectively deal with the situation that there are too many residues and can get a higher accurate and reliable phase unwrapping results.