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相关分析法在研究电离层不均匀結构中的应用
引用本文:李钧.相关分析法在研究电离层不均匀結构中的应用[J].地球物理学报,1962,11(2):105-122.
作者姓名:李钧
作者单位:中国科学院測量与地球物理研究所 武汉
摘    要:本文詳細地介紹了武汉采用的交点相关法和十点相关法的理論基础和具体計算方法,并与Philtips和spcncer的相关法(PS法)及Yerg的六点相关法进行了比較。正如理論上所預期到的,武汉的实驗表明:交点法提供的参量最多,也最精确可靠,但計算量与PS法的差不多;十点法提供的参量与交点法的一样多,精确性不此PS法的低,然而計算量比PS法的少得多,与六点法的差不多。文中还討論了利用时移图上曲直线,以进一步提高十点法的精确性,以及在相关分析中采用結构函数和后效函数,以进一步簡化計算的可能性。本文还初步討論了各种相关分析法的誤差間題;并提出了相关函数值在时空上的預报方法,以及根据相关函数的預报值与实測值的对此等,判别在記录分析中有无反常現象,和甄別所求出的参量值是否可疑的方法。最后还特別指出了电离层混乱运动变化速度出現虛数值的可能性,并介紹了消除这种虛数值的方法。

关 键 词:电离层  自相关函数  相关分析法  相关法  交点法  不均匀性  参量  漂移速度  地球物理学  地面波  

THE APPLICATION OF CORRELATION ANALYSIS METHODS TO THE STUDY OF IONOSPHERIC IRREGULARITIES
LI JUN.THE APPLICATION OF CORRELATION ANALYSIS METHODS TO THE STUDY OF IONOSPHERIC IRREGULARITIES[J].Chinese Journal of Geophysics,1962,11(2):105-122.
Authors:LI JUN
Institution:Institute of Geodesy and Geophysics Academia Sinica, Wuhan
Abstract:This paper described the theoretical basis and practical calculation for analyzing fading records obtained by close-spaced recievers in the study of the small-scale irregularities in the ionosphere. Two new correlation methods, the cross-point method (C. P. M.) and the ten-point method (T. P. M.), were proposed and compared experimentally with Phillips and Spencer's complete correlation method (P. S. M.) and Yerg's six-point method (S. P. M.). It is concluded that the C. P. M., compared with other methods, is more exact and provides for more information about the ionospheric irregularities. The C. P. M., as well as the P. S. M., require the determination of the auto-correlation function of one record and the cross-correlation functions between the three records taken in pairs, and it is therefore quite laborious. Then it is shown that there are some advantages in the application of the T. P. M. which provides for informations as much as that of the C. P. M. and as exact as that of the P. S. M., although the calculation is much simpler, as only 8-10 values of correlation coefficient are required. Moreover, it is pointed out that, utilizing the so called "time-lag plots" yθ, xθ, the accuracy of the T. P. M. can be further improved. Therefore it is suggested that the T. P. M. should be adopted as a routine, while the C. P. M. or the improved T. P. M. should be adopted for special occasions or special events for which more accurate results are required. for special occasions or special events for which more accurate results are required. In the viewpoint of labour-saving, applications of the structure function and the aftereffect function to the correlation analysis are discussed. In this paper the author also proposed an extrapolation and interpolation method of the value of correlation coefficient for any spacing and/or any time lag. Consequently, some criteria were established for checking the reliability of the calculated values of ionospheric parameters. Especially the occurrence of imaginary value of the random movement and change velocity can be almost always prevented in the course of analysis.
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