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Signal tracking approach for phase estimation in digital holographic interferometry

机译:数字全息干涉术中用于相位估计的信号跟踪方法

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摘要

In this research work, we introduce a novel approach for phase estimation from noisy reconstructed interference fields in digital holographic interferometry using an unscented Kalman filter. Unlike conventionally used unwrapping algorithms and piecewise polynomial approximation approaches, this paper proposes, for the first time to the best of our knowledge, a signal tracking approach for phase estimation. The state space model derived in this approach is inspired from the Taylor series expansion of the phase function as the process model, and polar to Cartesian conversion as the measurement model. We have characterized our approach by simulations and validated the performance on experimental data (holograms) recorded under various practical conditions. Our study reveals that the proposed approach, when compared with various phase estimation methods available in the literature, outperforms at lower SNR values (i.e., especially in the range 0-20 dB). It is demonstrated with experimental data as well that the proposed approach is a better choice for estimating rapidly varying phase with high dynamic range and noise.
机译:在这项研究工作中,我们介绍了一种使用无味卡尔曼滤波器从数字全息干涉术中的噪声重构干扰场进行相位估计的新方法。与常规使用的展开算法和分段多项式逼近方法不同,本文据我们所知首次提出了一种信号跟踪方法来进行相位估计。通过这种方法得出的状态空间模型的灵感来自于相位函数的泰勒级数展开(作为过程模型)和极至笛卡尔转换作为测量模型。我们已经通过模拟对我们的方法进行了表征,并验证了在各种实际条件下记录的实验数据(全息图)的性能。我们的研究表明,与文献中提供的各种相位估计方法相比,所提出的方法在较低的SNR值(即特别是在0-20 dB的范围内)下表现优异。实验数据也表明,该方法是估计具有高动态范围和噪声的快速变化相位的更好选择。

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