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应用连续墨西哥帽小波变换对弱信号提取分析研究
引用本文:薛泽春,李永刚,李连之,张宪玺,刘颖. 应用连续墨西哥帽小波变换对弱信号提取分析研究[J]. 重庆文理学院学报(自然科学版), 2012, 31(5): 79-82,90
作者姓名:薛泽春  李永刚  李连之  张宪玺  刘颖
作者单位:山东省化学储能与新型电池技术重点实验室,山东聊城252059 聊城大学化学化工学院,山东聊城252059
基金项目:聊城大学大学生科技文化创新基金
摘    要:应用连续小波变换分析含有噪声的模拟弱信号,对比mexh、db4、coif4、haar、meyr、morl 6种小波函数,结果显示,小波函数不同所得结果也不一样.通过小波变换系数求和,可将原信号放大,mexh能有效显示所要研究的信号,峰位值不变,并且使不易进行定量分析的信号也具有良好的线性关系.

关 键 词:连续小波变换  墨西哥帽小波  模拟信号

Study of extract and analysis of weak signals by using continuous Mexican hat wavelet transform
XUE Ze-chun,LI Yong-gang,LI Lian-zhi,ZHANG Xian-xi,LIU Ying. Study of extract and analysis of weak signals by using continuous Mexican hat wavelet transform[J]. Journal of Chongqing University of Arts and Scie, 2012, 31(5): 79-82,90
Authors:XUE Ze-chun  LI Yong-gang  LI Lian-zhi  ZHANG Xian-xi  LIU Ying
Affiliation:1.Shandong Provincial Key Laboratory of Chemical Energy Storage and Novel Cell Technology,Liaocheng Shandong 252059,China; 2.School of Chemistry and Chemical Engineering,Liaocheng University,Liaocheng Shandong 252059,China)
Abstract:The continuous small wavelet transform was used to analyze the analog signals with noise and 'mexh','db4','coif4','haar','meyr','morl' were compared.The results showed that different wavelet functions led to different results.The original signal was enlarged through the summation of wavelet transform coefficient,and 'mexh' could effectively display research signals with unchanged peak situation,and good linear relationship for the signals which can't quantitative analysis easily.
Keywords:continue wavelet transform(CWT)  Mexican hat wavelet  analog signals
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