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。
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.
出处
《石油地球物理勘探》
EI
CSCD
北大核心
1999年第1期22-28,共7页
Oil Geophysical Prospecting
基金
国家自然科学基金
关键词
小波变换
小波谱
谐波信号
地震勘探
地震数据
wavelet transform, Fourier transform, wavelet spectrum, Fourier spectrum, harmonic signal, vanishing matrix