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位场小波分析的物理解释
引用本文:梁锦文. 位场小波分析的物理解释[J]. 地球物理学报, 2001, 44(06): 865-870,
作者姓名:梁锦文
作者单位:桂林工学院资源与环境工程系,桂林,541004
摘    要:采用二进小波变换,构造了位场基小波,通过简单模型,分析了位场信号小波分解与重构的物理实质,阐明了小波变换的频带分布与“归一化”位场空间分布的一致性,以及小波重构的规律,并叙述了小波重构与异常分解的关系.

关 键 词:偶极小波   小波分析   二进小波变换   位场
收稿时间:2000-06-05
修稿时间:2001-04-11

A PHYSICAL INTERPRETATION OF WAVELET ANALYSIS FOR POTENTIAL FIELDS
LIANG JIN WEN. A PHYSICAL INTERPRETATION OF WAVELET ANALYSIS FOR POTENTIAL FIELDS[J]. Chinese Journal of Geophysics (in Chinese), 2001, 44(06): 865-870,
Authors:LIANG JIN WEN
Affiliation:Department of Resource and Environment Engineering, Guilin Institute of Technology, Guilin 541004, China
Abstract:The basic wavelets of a potential field are constructed in this paper. On the basic of the dyadic wavelet transform. The physical characters of wavelet decomposition and reconstruction for potential fields are analyzed by a simple model. The consistency of the distributions of wavelet transforms in the frequency bands with the distribution of "normalized" potential fields in the space is demonstrated. The regularity of wavelet reconstruction is interpreted. The features of anomaly separating with relation to wavelet reconstruction are also described.
Keywords:Dipole Wavelet  Wavelet Analysis  Dyadic Wavelet Transform  Potential Field
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