EMD模态分量的谱相关分析法及其对重力固体潮信号的解调分析

doi:10.11867/j.issn.1001-8166.2016.09.0919

地球科学进展 ›› 2016, Vol. 31 ›› Issue (9): 919 -925. doi: 10.11867/j.issn.1001-8166.2016.09.0919

全海燕(

), 刘艳 ^*(

)

昆明理工大学信息工程与自动化学院, 云南昆明 650500

收稿日期:2016-06-05 修回日期:2016-07-20 出版日期:2016-09-20
通讯作者: 刘艳 E-mail:quanhaiyan@163.com;liuyan8785@163.com
基金资助:
国家自然科学基金项目“提取重力固体潮信号中地球物理信息和地震前兆信息的关键信号处理算法研究”(编号:41364002)资助

The Cyclic Spectrum Analysis of IMFs of EMD and Its Application to Gravity Tide

Haiyan Quan( ), Yan Liu( )

Kunming University of Science and Technology, Faculty of Information Engineering and Automation, Kunming 650500,China

Received:2016-06-05 Revised:2016-07-20 Online:2016-09-20 Published:2016-09-20
About author:
First author:Quan Haiyan(1970-), male, Shiping County, Yunnan Province, Associate Professor. Research areas include signal processing, intelligent optimization algorithm.E-mail:quanhaiyan@163.com
Supported by:
Project supported by the National Natural Science Foundation of China“Research of algorithms of extracting both the geophysical information and the seismic precursory information from Gavity Tide” (No.41364002)

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EMD方法分解得到的模态信号分量一般为调频调幅波。提出利用循环相关谱对EMD分解的模态分量进行解调,以分解出模态分量中的载波成分和被调制成分,从而实现对信号的加性分解和乘性解调,揭示信号中各成分分量的物理意义。在应用实验中,将该方法用于重力固体潮信号分析,完整提取出半日波分量、日波分量和半月波分量,并揭示出:在重力固体潮信号中,日波和半日波是加性叠加关系,半月波以乘性调制方式被同时调制到半日波分量和日波分量中,而且,它们之间的调制方式为抑制载波调制方式。

关键词: EMD, 循环谱, 解调, 重力固体潮

IMFs sifted out by EMD are the FM-AM components. In the paper, by the cyclic spectrum analysis, IMFs are demodulated as the two periodic components which are identical to the intrinsic physical concepts. Using the method, the half-day-tide M₂, the day-tide O₁, and the half-month-tide M_f are extracted from the gravity tide signal, and a conclusion is drawn that the half-day-tide M₂ and the day-tide O₁ are primary components of gravity tide signal, and the half-month-tide M_f is modulated in the half-day-tide M₂ and the day-tide O₁.

Key words: EMD, Cyclic spectrum, Demodulation, Gravity tide.

中图分类号:

P312.4

图1 调幅信号 x( t)的循环谱

Fig.1 The cyclic spectrum of x( t) modulated signal

图2 α=0, ±f_b, ±2 f_b处的循环谱分布放大图

Fig.2 The distribution of the circular spectrum distribution at a=0, ±f_b, ±2 f_b

图3 α=2 f_a,2 f_a±f_b,2 f_a±2 f_b处的循环谱分布放大图

Fig.3 The distribution of the circular spectrum distribution at α=2 f_a,2 f_a±f_b,2 f_a±2 f_b

图4 重力固体潮信号

Fig.4 Gravity solid tidal signal

图5 信号IMF1及其时频分布、时能分布

Fig.5 Signal IMF1 and time frequency distribution

图6 IMF2及其时频分布、时能分布

Fig.6 Signal IMF2 and time frequency distribution

图7 IMF1的循环相关谱

Fig.7 Cyclic correlation spectra of IMF1

图8 IMF1的循环相关谱在 α=0 Hz处分布

Fig.8 The cyclic correlation spectra of IMF1 are distributed at α=0 Hz

图9 IMF1的循环相关谱在 α=4.56×10 ^-5 Hz

Fig.9 Cyclic correlation spectrum of IMF1 at α=4.56×10 ^-5 Hz

图10 IMF2的循环相关谱

Fig.10 Cyclic correlation spectrum signal of IMF2

图11 IMF2的循环相关谱在 α=0 Hz处分布

Fig.11 Cyclic correlation spectrum of IMF2 at α=0 Hz

图12 IMF2的循环相关谱在 α=2.24×10 ^-5 Hz处分布

Fig.12 Cyclic correlation spectrum of IMF2 at α=2.24×10 ^-5 Hz

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