基于小波分析的动态变形信息提取多尺度分析方法研究

Study on Wavelet Analysis Based Dynamic Deformation Information Extracting Multi-scale Analysis Method

基于小波分析的基本理论,特别是小波多尺度的分析技术,结合目前GPS变形监测强噪声的问题,提出了基于小波分析的动态变形信息提取多尺度分析方法,将小波多尺度分析技术应用于强噪声背景下提取弱信号及信号的奇异性检验。仿真数据研究表明,在进行多尺度分解时,应根据不同数据和处理目的,选择不同的小波函数和分解尺度。在进行信号奇异性检验时,消失矩较小的小波函数能更精确地定位奇异点。最后经实例验证,该技术能有效提取动态变形信息。

Based on fundamental theory of wavelet analysis,especially the wavelet multi-scale analysis technology,combined with current GPS deformation monitoring strong noise issue,have put forward dynamic deformation information extracting multi-scale analysis method based on wavelet analysis,applied wavelet multi-scale analysis technology on weak signal extracting under strong noise background and signal singularity test. The study on simulated data has shown,in the multi-scale decomposition,should be based on different data and processing intents to select different wavelet functions and decomposition scales. In signal singularity test,wavelet function with minor vanishing moment can fix position of singularity point more accurately. After instances verification,the technology can extract dynamic deformation information effectively.