Statistics of the derivatives of complex signal derived from Riesz transform and its application to pseudo-Stokes vector correlation for speckle displacement measurement

Zhang Shun; Yang Yi; Hanson Steen G.; Takeda Mitsuo; Wang Wei

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Statistics of the derivatives of complex signal derived from Riesz transform and its application to pseudo-Stokes vector correlation for speckle displacement measurement

机译：Riesz变换衍生的复信号导数的统计及其在斑点位移测量的伪斯托克斯矢量相关中的应用

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As an improvement of the well-known intensity correlation used in conventional electronic speckle photography, we have proposed a new technique, to the best of our knowledge, for displacement measurement referred to as pseudo-Stokes vector correlation (PSVC). To provide a theoretical background for the superiority of the proposed PSVC technique, we study the statistical properties of the spatial derivatives of the complex signal representation generated from the Riesz transform. Under the assumption of a Gaussian random process, a theoretical analysis for the pseudo Stokes vector correlation has been provided. Based on these results, we show mathematically that PSVC has a performance advantage over conventional intensity-based correlation technique. (C) 2015 Optical Society of America

机译：作为对常规电子散斑摄影中使用的众所周知的强度相关性的改进，我们已尽我们所知提出了一种用于位移测量的新技术，称为伪斯托克斯矢量相关性（PSVC）。为了为提出的PSVC技术的优越性提供理论背景，我们研究了从Riesz变换生成的复杂信号表示的空间导数的统计特性。在高斯随机过程的假设下，提供了伪斯托克斯矢量相关性的理论分析。基于这些结果，我们在数学上表明PSVC具有优于常规基于强度的相关技术的性能优势。（C）2015年美国眼镜学会

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《Applied optics》 |2015年第28期|共5页
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Zhang Shun; Yang Yi; Hanson Steen G.; Takeda Mitsuo; Wang Wei;
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1. Statistics of the derivatives of complex signal derived from Riesz transform and its application to pseudo-Stokes vector correlation for speckle displacement measurement [J] . Zhang Shun, Yang Yi, Hanson Steen G., Applied optics . 2015,第28期

机译：Riesz变换衍生的复信号导数的统计及其在斑点位移测量的伪斯托克斯矢量相关中的应用
2. Pseudophase information from the complex analytic signal of speckle fields and its applications. Part II: Statistical properties of the analytic signal of a white-light speckle pattern applied to the microdisplacement measurement [J] . Wei Wang, Nobuo Ishii, Steen G. Hanson, Applied Optics . 2005,第23期

机译：来自散斑场的复杂分析信号的伪相位信息及其应用。第二部分：应用于微位移测量的白光斑点图案分析信号的统计特性
3. Pseudophase information from the complex analytic signal of speckle fields and its applications. Part II: Statistical properties of the analytic signal of a white-light speckle pattern applied to the microdisplacement measurement [J] . Wei Wang, Nobuo Ishii, Steen G. Hanson, Applied optics . 2005,第23期

机译：来自散斑场的复杂分析信号的伪相位信息及其应用。第二部分：应用于微位移测量的白光散斑图案分析信号的统计特性
4. Pseudo-phase information of complex analytic signal of speckle fields and its applications: micro-displacement measurement based on phase-only correlation in signal domain [C] . Wei Wang, Nobuo Ishii, Yoko Miyamoto, Conference on Optical Metrology in Production Engineering; 20040427-20040430; Strasbourg; FR . 2004

机译：散斑场复杂分析信号的伪相位信息及其应用：基于仅相位相关的信号域微位移测量
5. STUDY OF LASER AND WHITE-LIGHT SPECKLE METHODS FOR DEFORMATION MEASUREMENT (STATISTICS, CORRELATION, FRINGE, OPTICAL FILTERING, DECORRELATION). [D] . LI, DA-WEI. 1985

机译：激光和白光散斑测量方法的研究（统计，相关，条纹，光学滤波，相关）。
6. Pseudo-stokes vector correlation from complex signal representation of a speckle pattern and its applications to micro-displacement measurement [O] . Wang, W., Ishijima, R., Matsuda, A., 2010

机译：散斑图案的复杂信号表示中的伪斯托克斯矢量相关性及其在微位移测量中的应用
7. Speckles Statistics and Decorrelation Effects in Complex ABCD Optical Systems [R] . Yura, H. T., Hanson, S. G., Grum, T. P. 1992

机译：复杂aBCD光学系统中的斑点统计与去相关效应

Statistics of the derivatives of complex signal derived from Riesz transform and its application to pseudo-Stokes vector correlation for speckle displacement measurement

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