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statistical property OF THRESHOLD-CROSSING FOR ZERO-MEAN-VALUED, NARROW-BANDED GAUSSIAN PROCESSES

Applied Mathematics and Mechanics(English Edition) 2001年第6期22卷 701-710页

作者： HE Wu-zhou(贺五洲) YUAN Ming-shun(苑明顺) Department of Hydraulic and Hydropower Engineering Tsinghua University Beijing 100084 P R China Department of Hydraulic and Hydropower Engineering Tsinghua University Beijing 100084 P R China

Based on a comprehensive discussion of the calculation method for the threshold-crossing statistics of zero mean valued, narrow banded Gaussian processes of various practical engineering problems, including the threshold-crossing probability, average number of crossing events per unit time, mean threshold-crossing duration and amplitude, a new Simple numerical procedure is proposed for the efficient evaluation of mean threshold-crossing duration. A new dimensionless parameter, called the threshold-crossing intensity, is defined as a measure of the threshold-crossing severity, which is equal to the ratio of the product of average number of crossing events per unit time and mean threshold-crossing duration and amplitude over the threshold. It is found, by the calculation results for various combinations of stochastic processes and different thresholds, that the threshold-crossing intensity, irrelevant of the threshold and spectral density of the process, is dependent only on the threshold-crossing probability.

关键词： stochastic process threshold-crossing statistical property

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A review of surface roughness measurements based on laser speckle method

引用

Journal of Iron and Steel Research(International) 2023年第10期30卷 1897-1915页

作者： Mei-qi Shao Dong Xu Si-yi Li Xiao-gang Zuo Chang-ke Chen Gong-zhuang Peng Jia-min Zhang Xiao-chen Wang Quan Yang Institute of Engineering Technology University of Science and Technology BeijingBeijing 100083China Xinjiang Joinworld Co. Ltd.Urumqi 830000XinjiangChina

Surface roughness is commonly used to characterize material microstructure during processing,and accurate measurement of surface roughness is the premise and foundation of ***,online non-destructive measurement of surface roughness based on the laser speckle method has become a hot issue in recent *** improvements in surface roughness measurements based on the laser speckle method are systematically *** of speckle formation is *** statistical properties of the speckle patterns including first-order statistical properties and second-order statistical properties are directly related to surface *** roughness measurements based on the laser speckle method are roughly divided into the speckle contrast method,speckle correlation method,and fractal *** three methods are described in detail,and an extensive comparison among all the methods is *** recent progresses and application of surface roughness measurements are ***,surface roughness measurements based on the laser speckle method are prospected and summarized.

关键词： Surface roughness Non-destructive measurement Laser speckle method Speckle pattern statistical property

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Theory and Experiments of the Diffraction Halo

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苏州大学学报(自然科学) 1988年第4期 531-542页

作者：沈永昭顾杰姜锦虎 Physics Department

According to the nature of the speckle, the results obtained through theoretical and exeperimental analyses of the diffraction halo are presented.

关键词： Speckle photography Diffraction halo statistical property Auto-corelation.

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Constrained Curve Fitting Based Normalized Coprime Factor Identification

Constrained Curve Fitting Based Normalized Coprime Factor Id...

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第二十二届中国控制会议

作者： Zhou Tong Department of Automation Tsinghua University.Beijing 100084

＜正＞This paper deals with identifying finite dimensional normalized right coprime factors （NRCFs） under a stochastic framework from a sequence of their frequency response estimates. A two step procedure is suggested for the estimation in which two cost functions are sequentially minimized. These cost functions are constructed on the basis of weighted curvefitting and the conditions on NRCFs. A numerical procedure is proposed for computing the estimate. Moreover, it is proved that with increasing the data length, the estimate converges with probability 1 （w.p. 1） to its actual value, and the optimal estimate is generally approximately asymptotically normal.

关键词： asymptotic normality curve fitting normalized coprime factors robust control statistical property

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