希尔伯特-黄变换方法在固体潮数据处理中的应用*

(1.中国地震局第二监测中心,陕西 西安 710054; 2.中国地震局地震预测研究所,北京 100036)

希尔伯特-黄变换; 经验模态分解; 前兆数据; 时频分析

Application of Hilbert-Huang Transform in Data Processing of Earth Tide Deformation
LI Rui-sha1,WU Yan-qiang2,ZHANG Xi1

(1.Second Crust Deformation Monitoring and Application Center,CEA,Xi'an 710054,Shannxi,China)(2.Institute of Earthquake Science,CEA,Beijing 100036,China)

Hilbert-Huang Transform; empirical mode decomposition; precursor data analysis; time-frequency analysis

备注

介绍了希尔伯特-黄变换方法的基本原理和实现方法,分析了该方法在仿真信号处理中的适用性和稳定性。针对模拟信号中的阶跃、突跳、随机噪声对HHT分析结果的影响进行了分类研究,结果表明该方法具有很好的时频分辨率,对前兆资料中典型的阶跃、突跳反应明显,稳定性较好,能将高于噪声2倍标准差的信号进行有效分离。最后,通过前兆资料的2个实例验证了该方法在前兆数据分析中的适用性,发现HHT方法可以有效的识别出实际观测资料中的固体潮信息,对干扰排除和异常提取具有一定的参考意义。

We introduce basic principles and implementation of Hilbert-Huang Transform method and analyze applicability and stability of this method in signal simulation processing.Studying the impact of step,jump and random noise on HHT analysis of analog signal,the results show that the method has high time-frequency resolution,reflect to the typical abnormal in the precursor data such as steps or jumps significantly,and has good stability,and is able to separate the signal which is higher than the 2 times standard deviation of the noise effectively.Finally,we verify the applicability of the method in the analysis of precursor data by using two cases and find that the HHT method can identify the tidal from the real observational data effectively,and have some reference meaning for disturbing rejection and extracting exception.