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从数学角度对矩形空间滤波器的窄带通空间滤波特性进行了研究。以空间滤波测速法(SFV)为基础,对矩形空间滤波器的滤波特性、滤波器的关键参数选择进行了研究,介绍了空间滤波测速的原理和特性,并从数学角度对图像光强分布的空间滤波效应进行了介绍;通过研究矩形空间滤波器的功率谱密度函数,对影响空间滤波特性的影响因素进行了讨论,包括窗口区域的尺寸和形状以及狭缝个数等。分析结果对于优化空间滤波器的参数设计从而提高测速精度来说具有较强的理论指导意义。
The narrow bandpass filter characteristics of rectangular space filters are studied mathematically. Based on Spatial Filtering Velocimetry (SFV), the filter characteristics of rectangular space filters and the selection of the key parameters of filters are studied. The principle and characteristics of the spatial filter velocimetry are introduced. The mathematical model of the light intensity distribution Spatial filter effect is introduced. The influence factors of spatial filter characteristics are discussed by studying the power spectral density function of rectangular space filter, including the size and shape of the window area and the number of slits. The result of the analysis is of great theoretical significance for optimizing the parameter design of the spatial filter to improve the speed accuracy.