基于优化的VMD和小波包降噪的联合去噪方法  

Joint De-noising Method Based on the Optimized VMD and Wavelet Packet Denosing

作　　者：邹娜娜 胡红萍[1] 白艳萍[1] 史娜[1] ZOU Na-Na;HU Hong-ping;BAI Yan-ping;SHI Na(School of Science,North University of China,Taiyuan 030051,China)

机构地区：[1]中北大学理学院,山西太原030051

出　　处：《数学的实践与认识》2021年第20期135-142,共8页Mathematics in Practice and Theory

基　　金：山西省回国留学人员科研项目(2020-104);国家自然科学基金(61774137);山西省自然科学基金(201801D121026,201701D221121);山西省重点研发计划项目(201903D121156)。

摘　　要：针对MEMS矢量水听器直接观测的信号存在噪声的问题,提出了一种基于动态差分模拟退火算法(Dynamic Differential Annealed Optimization,DDAO)优化变分模态分解(Variational Mode Decomposition,VMD)和小波包(Wavelet packet,WPT)降噪的联合去噪方法,记为DDAO-VMD-WPT.在该算法中,以包络熵作为DDAO算法的适应度函数,VMD的本征模态分量(Intrinisic Mode Function,IMF)的数量K和惩罚参数α作为DDAO的个体,将互相关系数高的IMF分量作为含噪分量,对此含噪分量进行WPT降噪后,与纯净的IMF分量叠加得到重构信号.仿真实验表明:DDAO-VMD-WPT在去噪的效果方面优于VMD,DDAO-VMD,VMD-WPT,和DDAO-VMD-WPT算法成功应用于实测信号的去噪中.In view of the noise problem in the signals directly observed from hydrophones,a joint denoising method based on Variational Mode Decomposition(VMD) optimized by improved Dynamic Differential Annealed Optimization(DDAO) and wavelet packet(WPT)denoising is proposed in this paper,described as DDAO-VMD-WPT.In the DDAO-VMDWPT algorithm,the envelope entropy is used to be the fitness function of DDAO algorithm,and the number K of the intrinsic mode function(IMF) and the penalty factor α in VMD are taken to be the individual of the improved DDAO.And the IMF components with high cross-correlation coefficient are taken to be the noisy components.Then the wavelet packet is utilized to perform denoising on these noisy components.And the obtained denoised noisy components and the pure IMF components are combined to become the reconstructed signals.Simulation results show that DDAO-VMD-WPT is superior to VMD,DDAO-VMD and VMafter de-noising with wavelet packet,the signal is reconstructed by adding pure IMF component.Simulation results show that DDAO-VMD-WPT is superior to VMD,DDAO-VMD,VMD-WPT and DDAO-VMD-WPT in denoising.And the proposed DDAOVMD-WPT algorithm is successfully applied to denoising of measured signals.

关 键 词：动态差分模拟退火算法 变分模态分解 小波包降噪 包络熵 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] P715[自动化与计算机技术—控制科学与工程] TB566[天文地球—海洋科学]