小波变换阈值函数去噪研究  

Research on the Wavelet Transform Threshold Function Denoising

作　　者：代伟[1] DAI Wei(No.91388 Troops of PLA,Zhanjiang 524000)

机构地区：[1]91388部队,湛江524000

出　　处：《舰船电子工程》2025年第1期182-185,190,共5页Ship Electronic Engineering

摘　　要：小波变换是信号处理领域一种常用的分析手段,在很多领域有广泛的应用,不同的应用领域对小波函数有不同的要求,论文研究的小波变换主要应用于水声信号的处理,针对水声信号的特点设计了新的阈值和阈值函数,研究了几种不同的小波基函数的去噪效果,并对小波分解的层数对信号去噪的影响进行了研究,最后对Daubechies(dbN)系列不同的小波函数的去噪效果进行了对比,结果表明小波分解的层数选择4层、选用db4小波函数的去噪效果最优。Wavelet transform is a common analysis method used in the signal processing,which is widely used in many research fields.Different application fields have different requirements for wavelet function.In this manuscript the wavelet transform is mainly used in the underwater acoustic signal process.Targeting the characteristics of the underwater acoustics signals a new threshold and a new threshold function are designed.Several different wavelet basis functions and the wavelet decomposition level on the effect of signal denoising are investigated.At last,the different dbN serial wavelet functions on the effect of signal denoising are compared.The results show when the level of wavelet decomposition is four and the dbN serial wavelet function is db4 the signal denoising effect is best.

关 键 词：小波变换 阈值 阈值函数 小波基函数 

分 类 号：TB566[交通运输工程—水声工程]