Use of generalized cross validation for identification of global lightning distribution by using Schumann resonances
Use of generalized cross validation for identification of global lightning distribution by using Schumann resonances
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DOI：
10.1029/2006rs003481
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发表时间：
2007-04
期刊：
影响因子：
1.6
通讯作者：
Y. Ando;M. Hayakawa
中科院分区：
文献类型：
--
作者：
Y. Ando;M. Hayakawa
在本文中，采用广义交叉验证来解决逆问题，以从测量的舒曼共振中识别全局闪电分布。根据有限差分法计算的舒曼共振谱来表述将闪电分布识别为距观察者距离的函数的反问题。引入吉洪诺夫正则化以进行适当的反演，并通过使用广义交叉验证作为客观估计来评估正则化的最佳参数。我们将本文获得的结果与闪电图像传感器在 1999 年 12 月期间收集的数据进行了比较，这次比较显示出比之前的结果更好的一致性。
In this paper, generalized cross validation is implemented to solve an inverse problem to identify global lightning distribution from measured Schumann resonance. The inverse problem to identify the lightning distribution as a function of the distance from the observer is formulated in terms of Schumann resonance spectra calculated by the finite difference method. Tikhonov's regularization is introduced for proper inversion, and the optimal parameter for the regularization is evaluated by using the generalized cross validation as an objective estimation. We compared the results obtained in the present paper with the data collected by the Lightning Image Sensor during December 1999, and this comparison shows a better agreement than the previous results.