L^2(R)的多分辨率分析与地震道信号的小波正交分解

The Multiresolution Analysis in L 2(R) and the Wavelet Orthogonal Decomposition of the Signals in the Seismic Trace

作者详细地介绍了Ｌ２（Ｒ）中信号的多分辨率分析及小波正交分解的理论，构造了适合处理地震勘探资料的尺度函数和小波函数以及相应的频率响应，将它应用于处理地震道信号的实际资料。

This paper gives a detailed account of the multiresolution analysis of the signals in L 2(R) and the theory of wavelet orthogonal decomposition, construes the scale and wavelet functions suitable for processing the data in seismic prospection as well as their corresponding frequency responses, presents actual data derived from the application of these functions to the processing of the signals in the seismic trace, and proves that the wavelet orthogonal decomposition of the seismic trace is valid and efficient.