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Holographic particle sizing and locating by using Hilbert-Huang transform

机译:Hilbert-Huang变换对全息粒子的尺寸和定位

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摘要

By using the Hilbert-Huang transform, a novel method is proposed to perform the task of particle sizing and axial locating directly from in-line digital holograms rather than reconstructing the optical field. The intensity distribution of the particle hologram is decomposed into intrinsic mode functions (IMFs) by the empirical mode decomposition. From the Hilbert spectrum of these IMFs, the axial location of the particle can be calculated by fitting the spectrum to a straight line, and the particle size can be derived from the singularities of the spectrum. Our method does not need to predefine any basis function; thus the whole process is fast and efficient. The validity and accuracy of the method are demonstrated by the numerical simulations and experiments. It is expected that this method can be used in on-line particle sizing and 3D tracking.
机译:通过使用希尔伯特-黄(Hilbert-Huang)变换,提出了一种新方法来直接从在线数字全息图中执行粒子大小确定和轴向定位的任务,而不是重建光场。粒子全息图的强度分布通过经验模态分解被分解为固有模态函数(IMF)。从这些IMF的希尔伯特光谱中,可以通过将光谱拟合为直线来计算粒子的轴向位置,并且可以从光谱的奇异性得出粒径。我们的方法不需要预先定义任何基础函数;因此,整个过程快速高效。通过数值模拟和实验证明了该方法的有效性和准确性。预期该方法可用于在线粒子大小调整和3D跟踪。

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