基于小波分析理论及其数字滤波的应用研究

The Applied Researches Based on Wavelet Analysis Theory and Digital Filter

系统分析了小波变换的物理意义和特点,包括积分小波变换、二进小波变换和小波的分解重构。并进一步将小波变换原理应用于微机保护数字滤波器。可得出基于小波变换的微机保护数字滤波器具有傅里叶变换不可比拟的优越性,可以准确地滤除信号中的直流分量和高频分量。

This article has systematically analyzed the physics significance and the characteristic of the wavelet transformation. There are integral wavelet transformation, binary wavelet transformation and wavelet decomposition restructuring in the paper. And further applies the wavelet transformation principle in the microcomputer protection numeral filter. We may obtain microcomputer protection numeral filter which has the Fourier transformation incomparable superiority based on the wavelet transformation. At last, we may filter the direct component and the high frequency component in the signal accurately.