小波变换及其在一维滤波中的应用

1993年 32卷 第No. 1期
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WAVELET TRANSFORM AND ITS APPLICATION TO 1-D FILTERING
西安地质学院,西安710054
XiAn College of Geology, XiAn 710054
本文叙述了小波变换(Wavelet Transform)的定义,分析了其性质.从小波变换的常见定义式得到声音变换,在附录中给出了反变换公式的证明.文中讨论了将小波变换用于各种一维滤波的原理及实现方法,给出了模型及实际资料试算实例,证明了本方法的可行性及优点.
In this paper, the definition of wavelet transform was described and its properties were demonstrated. From this definition voice transform was derived. The formula for inverse voice transform was shown in the appendix. We also discuss the philosophy and methodology of applying the wavelet transform to various 1-D filtering. The applied examples on either synthetic and field seismic data demonstrate the feasibility of the method.
小波变换; 声音变换; 一维滤波;
Wavelet Transform; Voice Transform; 1-D Filtering;