【摘要】 介绍了连续小波变换、离散小波变换、框架理论和多分辨分析 (多尺度分析 )等小波分析的基本方法原理以及第二代小波(升降方案 ) ,以及近年来小波分析在重磁场中的应用成果 (包括异常识别 ,异常分离 ,信号去噪 ,重磁下延 ,反演成像等方面 )。在对其进行仔细分析的基础上 ,指出目前小波分析在重磁场领域应用中存在的问题 ,诸如如何选择一个较优的小波母函数 ,并提出相应的解决思路———模型小波更多还原

【Abstract】 In this paper, we give a brief introductory to the princple of wavelet analysis that includes wavelet transform, discrete wavelet transform, frame theory, multiresolution analysis(multiscale analysis) and its development and the second generation wavelet(lifting scheme), and the results of its applications to the gravitational field and magnetic field. On the base of researching into the results, some defects such as the criterion of how to choose a better mother wavelet and the resolution schememodel wavelets are presented.更多还原