论文总字数：19188字

摘 要

Abstract 4

第一章 绪论 6

1.1研究背景和意义 6

1.1.1研究背景 6

1.1.2研究的意义 7

1.2国内外的研究现状 7

1.2.1 我国的研究状况 7

1.2.2 国外研究状况 9

1.3 本文主要研究的内容 10

第二章 时间序列分析方法 12

2.1 基准站坐标时间序列数据预处理 12

2.2 波谱分析的方法 12

2.2.1 快速傅里叶(FFT)分析 12

2.2.2 小波分析的方法 13

第三章 SC02站的数据处理 18

3.1 SC02站数据预处理结果 18

3.2 快速傅里叶（FFT）分析结果 20

3.3小波分析结果 21

3.4 探讨CORS系统在地壳变形检测中的应用 24

第四章 结论及展望 25

4.1 结论 25

4.2 展望 25

参考文献 27

致谢 29

摘要

CORS系统最早是在20世纪末提出来的，它由GNSS技术演变而来。CORS站经过十几年的不间断运行，积累了海量的观测数据，CORS站的位置变化数据在地壳运动研究中提供了重要数据。CORS除了可以提供上述的高精度导航定位服务，还蕴含了许多有用的信息，如地壳运动的季节性变化规律和板块运动速度等等，但测站坐标受到因为多种因素引起的季节性变化，所以有必要C O R S站网的三个方向上的变化情况需要进行分析研究，这是为了能够更好的了解影响CORS站数据变化的因素，本文选取了美国PBO的SC02站作为研究对象，分析了时间序列的周期性变化。

本文首先获取SC02站的坐标序列，然后，利用常规的信号处理的方法，比如，小波分析法，功率谱分析法等，对计算得到的SC02站的三个方向的坐标进行详细的波谱研究，并且主要关注的是高程方向上的变化规律，由此揭示说明SC02站的三个方向上运动的规律，。主要研究的内容为：

1．原始时间序列的预处理

在进行CORS站时间序列分析时，时间序列存在不连续的情况，此时应用进行谱分析和小波分析时就需要对时间序列进行拟合求得残差值，获得均匀采样的时间序列。本文分将做程序设计对原始时间序列进行的拟合和残差值的求解，这将是下面分别利用功率谱分析和小波分析的新的时间序列值。

2.波谱分析

对SC02站的三个方向的时间序列的傅里叶析和小波分析通过功率谱分析法和小波分析技术，分析了 CORS 站三个方向时间序列的周期变化规律及影响其变化的因素和季节性变化规律，发现测站大部分主要存在着半年周期运动和年周期运动，而且主要是以年周期运动为主要运动方式的。

关键词： CORS；时间序列；；功率谱分析；小波分析；

Abstract

The CORS system was first proposed at the end of the 20th century, and it evolved from GNSS technology. After more than ten years of uninterrupted operation, the CORS station has accumulated massive observation data, which provides a data basis for the analysis and application of the position change of the CORS station. . In addition to providing the above-mentioned high-precision navigation and positioning services, CORS also contains a lot of useful information, such as the seasonal variation of crustal movement and plate movement speed, etc., but the station coordinates are subject to seasonality caused by various geophysical factors Changes, so the changes in the three directions of the CORS network need to be analyzed and studied. In particular, the factors that affect the vertical movement in the elevation direction are also more and more complicated. In this paper, the SC02 station of the US PBO is selected as the research object, and the periodic changes of the time series are analyzed.

In this paper, the coordinate sequence of the SC02 station is first obtained, and then, using conventional signal processing methods, such as wavelet analysis and power spectrum analysis, etc., a detailed spectrum study is performed on the calculated coordinates of the SC02 station in three directions, and The main concern is the law of change in the elevation direction, which reveals the law of movement in the three directions of the SC02 station. The main research contents are:

1. Preprocessing of the original time series

When performing GPS time series analysis, there is a discontinuous time series. At this time, when applying spectral analysis and wavelet analysis, it is necessary to fit the time series to obtain the residual value to obtain a uniformly sampled time series. This article will do programming to fit the original time series and solve the residual value. This will be the new time series value using power spectrum analysis and wavelet analysis respectively.

2. Spectral analysis

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