钢索检测信号降噪处理的小波分析
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摘要
介绍了小波分析的理论基础以及用于含噪信号降噪的基本方法,给出了常用的三种小波函数和尺度函数。作为工程实际应用,我们对某在役斜拉桥拉索的检测数据进行降噪处理,分别用Haar小波、db小波和sym小波进行信号分解,采取默认阈值的方法进行降噪处理,然后重构降噪后的信号。最后指出了小波属性对降噪结果的影响。
Introduced an wavelet analytical theories and used for the denoising method that noised signal.Based on three kinds of the wavelet functions and the scaling functions in common use and be the actual application of engineering,the examination signal of the steel cables was denoised.Used the Haar wavelet,sym4 wavelet and db4 wavelet,the signal was carry on decomposition respectively.To depress noise,the method that default the threshold value wae used.Then,the signal denoised was reconstructed.Finally,the fact that the character of wavelets influence the denoised result were pointed out.
Introduced an wavelet analytical theories and used for the denoising method that noised signal.Based on three kinds of the wavelet functions and the scaling functions in common use and be the actual application of engineering,the examination signal of the steel cables was denoised.Used the Haar wavelet,sym4 wavelet and db4 wavelet,the signal was carry on decomposition respectively.To depress noise,the method that default the threshold value wae used.Then,the signal denoised was reconstructed.Finally,the fact that the character of wavelets influence the denoised result were pointed out.
引文
1徐长发,李国宽.实用小波方法(第2版)[M].武汉:华中科技大学,2004.
2肖梅玲,高春涛,叶燎原.不同小波基下的结构位移反应动力可靠性分析[J].世界地震工程,2002,18(2):163-166.
3飞思科技产品研发中心.小波分析理论与MATLAB实现[M].北京:电子工业出版社,2005.
4吕建刚,邢志,李猛.小波分析在路面反应谱中信号降噪的应用[J].振动工程学报,2005,18(2):257-260.
5王振武,张泽银.具有二阶消失矩的多进制对称Coi-flet小波基[J].高校应用数学学报(A辑),2001,1(2):169-174.
6张伟林.斜拉索无损检测的小波分析方法[J].安徽建筑工业学院学报.2006,14(2):1-3.
2肖梅玲,高春涛,叶燎原.不同小波基下的结构位移反应动力可靠性分析[J].世界地震工程,2002,18(2):163-166.
3飞思科技产品研发中心.小波分析理论与MATLAB实现[M].北京:电子工业出版社,2005.
4吕建刚,邢志,李猛.小波分析在路面反应谱中信号降噪的应用[J].振动工程学报,2005,18(2):257-260.
5王振武,张泽银.具有二阶消失矩的多进制对称Coi-flet小波基[J].高校应用数学学报(A辑),2001,1(2):169-174.
6张伟林.斜拉索无损检测的小波分析方法[J].安徽建筑工业学院学报.2006,14(2):1-3.
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