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本文在被测场为多维各向异性并存在混乱运动的情况下,导出了Pǜtter时差矢量图中的等概率椭球面与Briggs-Phillips-Shinn的相关函数特征椭球面之间的几何联系及有关的关系式,从而阐明了相似衰落法与相关分析法具有共同的理论基础。文中还对原有的相似衰落法提出了一些改进办法。在这种改进中,用等概率椭圆代替Pütter直线,因而能用简单的几何作图法迅速而又相当精确地确定相关分析法所能确定的全部欲求的物理量。此外,在作图过程中,物理图象直观,还可直接检验所测物理量的可靠性和精度。
In this paper, the geometrical relations between the equipartition ellipticities in Brill-Phillips-Shinn correlation function and the equipartition ellipsoid in Pǜtter time-difference vector are derived under the condition that the measured field is multidimensional anisotropic with chaotic motion. Relations, thus clarifying the similar theoretical basis for the similar fading and correlation analysis. The article also made some improvements to the original similar fading method. In this refinement, the Pütter line is replaced by an equal-probability ellipse so that a simple geometric mapping can be used to quickly and fairly accurately determine the physical quantity of all the desires to be ascertained by the correlation analysis. In addition, during the mapping process, the physical image is intuitive, and the reliability and accuracy of the measured physical quantity can be directly verified.