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Use of generalized cross validation for identification of global lightning distribution by using Schumann resonances
Author(s) -
Ando Yoshiaki,
Hayakawa Masashi
Publication year - 2007
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2006rs003481
Subject(s) - schumann resonances , lightning (connector) , identification (biology) , meteorology , environmental science , mathematics , physics , geophysics , ionosphere , quantum mechanics , power (physics) , botany , biology
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.