Towards a multi-scale representation of multi-dimensional signals
Towards a multi-scale representation of multi-dimensional signals
复制标题
迈向多维信号的多尺度表示
DOI：
10.1007/978-3-642-22078-4_18
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
M. Schmidt
中科院分区：
文献类型：
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作者：
M. Schmidt
小波方法长期以来一直用于分析和表示一维信号。小波分析的基本特征是局部化特性，即根据所选的小波，可以仅在有限区间内研究信号。如今，大量的卫星任务可以监测各种地球物理现象。由于通常必须研究区域现象，因此多维小波方法受到质疑。本文介绍了使用 B 样条小波多尺度表示多维信号的基本原理。最后将该过程应用于电离层研究的一个例子。
For analyzing and representing a one-dimensional signal wavelet methods are used for a long time. The basic feature of wavelet analysis is the localization property, i.e. it is – depending on the chosen wavelet – possible to study a signal just in a finite interval. Nowadays a large number of satellite missions allows to monitor various geophysical phenomena. Since often regional phenomena have to be studied, multi-dimensional wavelet methods come into question. In this paper the basic principles of a multi-scale representation of multi-dimensional signals using B-spline wavelets are presented. Finally the procedure is applied to an example of ionosphere research.