【作者】 任婷；

【导师】 曲国庆；

【作者基本信息】 山东理工大学 ， 大地测量学与测量工程， 2012， 硕士

【摘要】 本文在简述小波分析基本理论的基础上,详细介绍了小波谱分析、小波熵分析以及小波相关性分析,并结合CASH、RIZH、TAIN、WUDI四个监测站的GPS坐标时间序列信号以及CASH、JIMO、RIZH、WUDI四个监测站的对流层延迟改正数据,根据小波谱、小波熵和小波相关性、相干性分析方法的有效性,对大地测量信号中的GPS坐标时间序列信号和对流层延迟改正数据的特征信息、相关性、相干性等问题进行了研究。全文的主要研究内容如下：围绕Fourier谱、小波谱以及小波熵分析理论,分别进行仿真信号分析,验证各种方法的有效性,结合CASH、RIZH、TAIN、WUDI四个监测站GPS坐标时间序列最新观测数据,分别对其进行小波谱分析、小波熵分析。结果表明,在整个时间域内,小波谱分析能够有效地探测到时间序列信号中存在的周期性信息,这些周期性信息能够从侧面表明CASH、RIZH、TAIN、WUDI四个监测站的数据背后存在着相关性；在小波熵图谱中,四个监测站的分析结果基本上是一致的,表明四个监测站在同方向上的数据规律性基本相同,复杂程度也基本相同。应用GAMIT软件解算了CASH、JIMO、RIZH、WUDI四个监测站的对流层延迟改正数据,利用小波相关性分析理论,对数据进行小波相关性分析。结果表明,山东监测站站间相关延迟量比较接近,没有出现较大的浮动,最小相关延迟为向前延迟,发生在CASH-RIZH,最大相关延迟为向后延迟,发生在RIZH-JIMO。探讨了小波相干性分析方法及其理论,对CASH、RIZH、TAIN、WUDI四个监测站的GPS时间序列信号东方向、北方向、垂直方向分别作相干性分析以及相位相干性分析。结果表明,两两站间北方向的月周期、季节周期其小波相干性较强,表明月周期较强,影响因素有一定的规律性；各监测站间季节周期东方向的相位相干性较弱,半年周期东方向的相位相干性较强。更多还原

【Abstract】 Based on the basic theory of wavelet analysis, this paper introduced wavelet spectrum analysis, wavelet entropy analysis and wavelet correlation analysis in detail. Combined with GPS coordinates time series signal of CASH、RIZH、TAIN、WUDI and troposphere delay correction data of CASH、JIMO、RIZH、WUDI, this paper explored the question of characteristics information,correlation and coherence according to the effectiveness of wavelet spectrum, wavelet entropy and wavelet correlation,coherence analysis to GPS coordinates time series signal and troposphere delay correction data. The main contents of the paper were following:Around the Fourier spectral, wavelet spectrum and wavelet entropy analysis theory, the simulation signal analysis respectively, verify the effectiveness of various methods. Put the GPS coordinates time series signal of CASH、RIZH、TAIN、WUDI into wavelet spectrum analysis and wavelet entropy analysis, the results show that wavelet spectrum analysis can effectively detect the time series of the existence of periodic signal of the information in the time domain. These cyclical information can from the side that CASH、 RIZH、TAIN、WUDI four stations are behind the correlation of the data; Four monitoring stations analysis results are basically the same in the map of wavelet entropy. Four stations that forces the same basic data up regularity, basically the same complexity.Troposphere delay correct data of CASH、JIMO、RIZH、WUDI were obtained through the GAMIT software. By using wavelet theory of correlation analysis, put the data into correlation analysis of wavelet. The results show that Shandong monitoring carried related delay between quantity is close, not appear larger float. Minimum related delay for forward delay, in the CASH-RIZH, the biggest related delay for backward delayed, took place in the RIZH-JIMO.Discussed the wavelet coherence analysis method. Put the east direction、north direction and vertical direction of GPS coordinates time series signal of CASH、RIZH. TAIN、WUDI into coherence analysis and phase correlation analysis. The results show that north of the direction of between the lunar cycle, seasonal cycle the wavelet coherence is stronger, show that the lunar cycle is stronger, the influence factors have certain regularity; The monitoring stations seasonal cycle of direction between the phase coherence is weak, the half year cycle the direction of the coherence of the phase is stronger.更多还原