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小波谱及其对谐波信号的刻画能力
引用本文:徐义贤 王家映. 小波谱及其对谐波信号的刻画能力[J]. 石油地球物理勘探, 1999, 34(1): 22-28
作者姓名:徐义贤 王家映
作者单位:中国地质大学!武汉
摘    要:本文在前人工作的基础上,首先导出小波谱和傅氏谱之间的数学关系,分析了它们之间的联系与差别,并由此得出了解析子波的消失矩对谱形影响的一般性结论;然后选用Morlet小波,通过数值试验研究小波谱对谐波信号的刻画能力及特点。

关 键 词:小波变换 小波谱 谐波信号 地震勘探 地震数据

Wavelet spectrum and its ability to characterize harmonic signals
Xu Yixian and Wang Jiaying.Xu Yixian. Wavelet spectrum and its ability to characterize harmonic signals[J]. Oil Geophysical Prospecting, 1999, 34(1): 22-28
Authors:Xu Yixian and Wang Jiaying.Xu Yixian
Abstract:The mathematic relation between wavelet spectrum and Fourier spectrum is deduced strictly, and their link and difference are analysed in detail. Then the general conclusion is drawn that vanishing matrix of analytic wavelet influences spectrum shape. Morlet wavelet is taken as an example to numerically analyse wavelet spectral ability to characterize harmonic signals.
Keywords:wavelet transform   Fourier transform   wavelet spectrum   Fourier spectrum   harmonic signal   vanishing matrix
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