联合M估计和贝叶斯估计的DS-InSAR形变解算方法

A joint M-estimation and bayesian estimation method for DS-InSAR deformation estimation

  • 摘要: 联合永久散射体(Persistent Scatterer,PS)和分布式散射体(Distributed Scatterers,DS)估计地表形变,可增加非城市区域的相干目标监测密度。然而,目前仍存在相干目标点数量与参数估计精度难以兼顾的问题。鉴于此,提出一种联合M估计和贝叶斯估计的时序DS-InSAR(Distributed Scatterers-Interferometric Synthetic Aperture Radar)形变解算方法(Joint M-estimation and Bayesian Estimation-InSAR,MB-InSAR)。该方法使用三弧段构建PS-DS弧段网,将加权贝叶斯估计和M估计分别应用于不同方差水平的DS点形变参数估计。模拟实验结果表明MB-InSAR对长时间序列的速率估计精度相较于传统最大似然估计和普通贝叶斯估计提高了47%,且受PS点密度和噪声的影响较小。在休斯顿地区实验中与三个GPS站点结果比对显示良好的一致性。模拟实验和真实实验验证了MB-InSAR方法在分布式目标形变参数估计中的有效性,提高了DS-InSAR技术在复杂地表环境下的形变解算精度并保证相干目标点密度,有助于揭示精细地表形变特征。

     

    Abstract: Objectives: Distributed scatterers interferometry (DS-InSAR) significantly increases the number of coherent target pixels in non-urban areas without losing spatial resolution. However, there remains a challenge in balancing the quantity of coherent targets with the accuracy of deformation estimation in conventional DS-InSAR method. To address this issue, we propose a new DS-InSAR method that integrates M-estimation and Bayesian estimation (MB-InSAR). Methods: The method proposes a three-arc strategy to construct the Persistent Scatterer-Disctributed Scatterer (PS-DS) arcs network, which provides a more accurate prior distribution for the DS estimator. Subsequently, the DS points are divided into different categories based on interpolation errors through the velocity interpolation variance. The points with small interpolation errors are solved based on weighted Bayesian estimation, while the remains with large interpolation error are solved based on M-estimation. Results: Applications on simulated datasets demonstrate that MB-InSAR improves the accuracy of long time series velocity estimation by 47%, compared with traditional maximum likelihood estimation and Bayesian estimation. Moreover, MB-InSAR exhibits less sensitivity to PS density and noise. The experiment in Katy and Sienna, Houston, indicated that the MB-InSAR method increased the number of measurement points by 160% and 125%, respectively. Futhermore, the velocity obtained by the MB-InSAR method shows strong consistency with GPS observation, and the maximum difference between the MB-InSAR method and GPS is less than 2.5 mm/a. Conclusions: The MB-InSAR method is effective in improving the estimation accuracy for the DS targets, which can shed more lights in deciphering the fine-scale deformation characteristics with the complex surface environment.

     

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