APPLICATIONS OF ORTHOGONALITY THEORY OF DISCRETE NORMAL MODES TO THE IDENTIFICATION OF FREE OSCILLATION EIGENFREQUENCIES AND DETERMINA TIONS OF SPECTRAL PEAK POSITIONS AND SPECTRAL LINE WIDTHS
APPLICATIONS OF ORTHOGONALITY THEORY OF DISCRETE NORMAL MODES TO THE IDENTIFICATION OF FREE OSCILLATION EIGENFREQUENCIES AND DETERMINA TIONS OF SPECTRAL PEAK POSITIONS AND SPECTRAL LINE WIDTHS作者机构：Institute of Geophysics State Seismological Bureau Beijing
出 版 物：《中国科学B辑(英文版)》 (Science in China,Ser.B)
年 卷 期：1985年第28卷第6期
页 面：641-654页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：desired stripping exactly stacking latitude coordinates identifying 二尹 assumed satisfy
摘 要： Owing to the loss of the orthogonality relations of discrete normal modes of free oscillations of the Earth in practical analysis, not only stacking method fails to give the desired results, but also stripping method may lead to large errors and even mis-identifications for certain normal modes. For this reason, a method in which the data from many earthquakes are used and appropriately weighted in order to make the orthogonality relations of discrete normal modes approximately satisfied is put forward. In addition, the conditions under which the orthogonality relations of discrete normal modes hold exactly within the range of a given degree and order have been found.
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