TIME-FREQUENCY AND TIME-SCALE
TIME-FREQUENCY AND TIME-SCALE
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时频和时标
DOI：
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发表时间：
1997
期刊：
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通讯作者：
Praveen Kumar Hydrosystems
中科院分区：
文献类型：
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作者：
Praveen Kumar Hydrosystems
小波变换于20世纪80年代初起源于地球物理学，用于地震信号分析。从那时起，小波理论在数学上取得了重大进展，使其在多个不同领域得到了一系列应用。在地球物理学中，小波在分析包含多尺度特征的非平稳过程、检测奇异性、分析瞬态现象、分形和多重分形过程以及信号压缩方面的强大功能，目前正被用于研究多个过程，包括时空降水、遥感水文通量、大气湍流、植被覆盖、地表地形、海底测深以及海洋风浪。预计在不久的将来，小波分析的使用将在理解和模拟地球物理过程方面取得进一步的重大进展。在本文中，我们回顾了小波的基本特性，这些特性使其成为地球物理应用中极具吸引力且强大的工具。我们讨论了连续小波、离散小波、正交小波以及小波包，并介绍了它们在地球物理过程中的应用。
Wavelet transforms originated in geophysics in the early 1980s for the analysis of seismic signals. Since then, significant mathematical advances in wavelet theory have enabled a suite of applications in diverse fields. In geophysics the power of wavelets for analysis of nonstationary processes that contain multiscale features, detection of singularities, analysis of transient phenomena, fractal and multifractal processes, and signal compression is now being exploited for the study of several processes including space-time precipitation, remotely sensed hydrologic fluxes, atmospheric turbulence, canopy cover, land surface topography, seafloor bathymetry, and ocean wind waves. It is anticipated that in the near future, significant further advances in understanding and modeling geophysical processes will result from the use of wavelet analysis. In this paper we review the basic properties of wavelets that make them such an attractive and powerful tool for geophysical applications. We discuss continuous, discrete, orthogonal wavelets and wavelet packets and present applications to geophysical processes.