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传统的滤波方法是基于Fourier分析理论,根据信号在Fourier频域的特性设计滤波器,但这类滤波方法没有时间分辨率,有一定的局限性。近年来,一种称为小波分析的信号处理理论逐渐得到了人们的重视,因其具有时间—频率分辨率而倍受人们的青睐。本文结合小波分析理论,研究利用小波分析进行时—频域滤波的方法,并介绍其硬件实现方法。最后用数值模拟对这种方法进行了验证。
The traditional filtering method is based on the theory of Fourier analysis, and the filter is designed according to the characteristics of the signal in the Fourier frequency domain. However, this filtering method has no time resolution and has some limitations. In recent years, a kind of signal processing theory called wavelet analysis has gradually gained people’s attention because of its time-frequency resolution and much people’s favor. Based on the theory of wavelet analysis, this paper studies the method of time-frequency domain filtering by wavelet analysis and introduces its hardware implementation method. Finally, this method is verified by numerical simulation.