基于SSOR预条件技术的快速相位解缠算法

PHASE UNWRAPPING BY MEANS OF PRECONDITIONING TECHNIQUE FOR INTERFEROMETRIC SAR BASED ON SSOR PRECONDITIONER PRECONDITIONING TECHNIQUE FOR INTERFEROMETRIC SAR

相位解缠是合成孔径雷达干涉测量中的一个关键步骤和研究热点。在众多的解缠算法中,最小二乘相位解缠算法以其优良的稳定性受到人们的关注。该方法的核心思想是将相位解缠问题转化为通过迭代方法求解大型线性方程组。然而,传统的迭代方法存在收敛缓慢,耗时过长的缺点。针对这一问题,本文提出了一种利用对称超松弛预条件技术加速相位解缠的新方法。数值仿真实验表明,与传统方法相比,该方法可以在精确恢复真实相位的前提下,大大提高相位解缠的效率。

To solve the two-dimensional phase unwrapping problem, least square phase unwrapping is a robust approach, which is equivalent to the solution of a large sparse linear equation based on the iterative method. However, the convergence rate of the iterative method is usually very slow. To efficiently solve these linear systems arising from phase unwrapping problems, we propose the preconditioning technique. Numerical results demonstrate that the present method can reduce the number of iterations significantly, when no additional computing time is required to construct the preconditioning matrix.