Analysis of geomagnetic data using wavelet frames

使用小波框架分析地磁数据

• 批准号: 5444161
• 负责人: Dr. Monika Korte
• 金额: --
• 依托单位: Sektion 2.3: Geomagnetismus
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2005
• 资助国家: 德国
• 起止时间: 2004-12-31 至 2010-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5444161?language=en
• 关键词: Analysis; geomagnetic; data; using; wavelet

The aim of this proposal is to establish frames of spherical wavelets as a versatile modellingtool in geomagnetism. We plan to develop a global and regional magnetic field modellingmethod which can take into account the very inhomogeneous distribution of ground-basedgeomagnetic measurements together with the more homogeneously distributed data providedby satelite measurements. The emphasis of this project is on the geophysical implementationof the by now well established mathematical technique called wavelet frames. Theimprovement compared to the commonly used method of spherical harmonic analysis is theessentially regional support of basis functions. It will allow high resolution in areas coveredwell by data while avoiding spurious structure in sparsely covered regions. By nowimprovements of this method could be shown for scalar data and first results for vector datacould be obtained. The tasks projected in this proposal are optimizing (grid, degree, scales)the frames obtained so far to improve specific field representation, studying the feasability ofregional modelling using local wavelet frames, incorporating magnetospheric sources in fieldmodels and incorporating time dependency and non-linear data (e.g. intensity measurements).

该提案的目的是将球形小波的框架建立为地向磁性的多功能模量。我们计划开发一个全球和区域磁场调节方法，可以考虑到地面地球磁性测量的非常不均匀的分布以及提供卫星测量的更均匀分布的数据。该项目的重点放在现在已建立的数学技术的地球物理实现上，称为小波框架。与常用的球形谐波分析方法相比，这是对基本函数的区域支持。它将允许在数据覆盖的区域中高分辨率，同时避免稀疏覆盖区域中的虚假结构。通过该方法，可以显示有关标量数据的现象，并获得向量数据源的第一个结果。本提案中投射的任务是优化（网格，程度，尺度）到目前为止获得的框架以改善特定的场表示，研究使用局部小波框架的区域建模的可行性，并在现场模型中结合了磁层源，并结合了时间依赖性和非线性数据（例如，强度测量）。