GPS时间序列小波相干分析

Wavelet coherence analysis for GPS time series

利用小波变换的多尺度时频分析特点,将小波变换与相干分析相结合构成小波相干分析,获取信号的幅值和相位信息,研究相干性随时间变化的特征,探测Fourier相干无法探测的特征信息,并将其应用于山东GPS地壳运动网络数据,分析2个基准站不同方向上各频率成分的共变规律。仿真试验和实测数据分析说明,小波相干是分析两列信号相互依赖关系,尤其是探测相干瞬时变化的有效方法。

Wavelet coherence,combining wavelet transform,of which took advantage of multiresolution time-frequency analysis,and Fourier analysis,obtained the amplitude and phase information implying in signals,and studied the feature of how the coherence changing with time.So it could detect feature information that Fourier coherence couldn＇t,that could be proved in the simulation test.Then wavelet coherence was applied to Shandong GPS crustal movement network time series,and covariation rules of month-period,season-period and half-year-period components in different directions between two stations was summarized respectively as well.Both the simulation test and measured data analysis show that wavelet coherence is an effective method to analyze the interdependence between two time series,to detect the transient changes of coherent in particular.