小波分析在滤波中的应用

小波分析是一种能同时在时间域和频率域内进行局部分析的新的信号分析方法。该文首先引入小波分析的概念，介绍了声音变换；然后根据地球物理勘探中数据量大，处理速度要求高的特点选用了Ｍｏｒｌｅｔ小波，并做了适当的简化，实现了小波正反变换，最后系统地探讨了在陷波，时频滤波，时变滤波中的应用，通过几个数学模型和一个物理模型的试验，均得到了理想的结果。

The Application of Wavelet Analysis on Filter

Wavelet analysis is a new signal analysis methed which can do local analysis simultaneously in time and frequency domain. In this paper, the concept and characteristics of Wavelet analysis are introduced. Because of large quantity of data and requisite of high computation velocity in geophysical prospecting, MORLET wavelet, which has simple expression and can be used conveniently is adopted and simplified. At first, wavelet forward and inverse transform is realized and has been applied in time - frequency filter, notch filter, time - varying filter. Several mathematical models and a physical model are processed, the result is very satisfactory.