基于小波变换的加权最小二乘相位解缠算法

Weighted least squares phase unwrapping algorithm based on multiresolution wavelet transform

提出了一种求解加权最小二乘相位解缠问题的新算法,采用相位导数方差相关图定义了相位数据的初始权重,给出了利用多分辨率小波变换进行相位解缠的具体实现方法。利用离散小波变换,将原线性系统转化成具有较好收敛条件的等价新系统,通过独立求解新系统中的低频部分,加快了系统的收敛速度。仿真实验表明:该算法具有收敛速度快、解缠效果好等特点。

A new algorithm to solve the weighted least squares phase unwrapping problem is presented. The initial weight ar ray for the given phase data is defined using phase derivative variance correlation map. The implementation method based on multiresolution wavelet transform for phase unwrapping is introduced in detail. In the proposed algorithm,an equivalent new system with better convergence condition can be achieved by applying the discrete wavelet transform to the original system. Separately solving the low-frequency portion of the new system speeds up the overall system convergence rare. The simulation experiment has shown that the proposed algorithm converges faster and can provide better unwrapping result.