谐波小波滤波功效分析
|
摘要
谐波小波在振动信号故障检测中的作用和优点已广为人知,并已在生产和科研工作中发挥了巨大作用,作为其重构算法的延伸——谐波小波滤波也逐渐引起人们的高度重视。在介绍谐波小波变换的基本定义及优良特性的基础上,给出了谐波小波滤波的具体实现过程。指出谐波小波由于其频域盒形特征及复滤波结果,故与其他二进小波变换滤波相比,能克服滤波过程中的频泄现象,可扩大滤波结果的应用领域。与有限脉冲响应(FIR)滤波进行了对应分析与对比,发现两者的滤波效果基本相同。谐波小波同样不能克服由傅氏变换产生的频泄和栅栏效应。通过算例,进一步验证了上述结论。
The advantages of harmonic wavelet in detection of vibration malfunction have been accepted,and it has been widely used in production and scientific research.As an extension of its reconstruction algorithm,harmonic wavelet filtering has also attracted high degree of attention nowadays.In this paper,we introduced the concept of harmonic wavelet and its realizations.Compared to other binary wavelet filtering,harmonic wavelet filtering can overcome the frequency leakage during filtering because of its box shape at frequency domain and complex filtering.Harmonic wavelet filtering functions same as finite impulse response filtering,and cannot solve the frequency leakage and fence effect caused by Fourier transform.Some examples were presented in the paper.
The advantages of harmonic wavelet in detection of vibration malfunction have been accepted,and it has been widely used in production and scientific research.As an extension of its reconstruction algorithm,harmonic wavelet filtering has also attracted high degree of attention nowadays.In this paper,we introduced the concept of harmonic wavelet and its realizations.Compared to other binary wavelet filtering,harmonic wavelet filtering can overcome the frequency leakage during filtering because of its box shape at frequency domain and complex filtering.Harmonic wavelet filtering functions same as finite impulse response filtering,and cannot solve the frequency leakage and fence effect caused by Fourier transform.Some examples were presented in the paper.
引文
1Newland D E.Harmonic wavelet analysis[J].Proc R Soc Land A,1993,443:203～225
2Newland D E.Harmonic wavelet in vibrations and acoustics[J].Royal Soc Trans,Philos:A,1999,1760(357):2607～2625
3赵玉成,袁树清,许庆余.奇异信号的谐波分析[J].工程力学,2000,17(3):60～65
4肖忠会.应用谐波小波滤波识别转子系统临界转速[J].风机技术,2002(2):8～10
5高强,何正嘉.谐波小波及其时频剖面图在旋转机械诊断中的应用[J].西安交通大学学报,2000,34(9):62～66
6李舜铭,许庆余.微弱振动信号的谐波小波频域提取[J].西安交通大学学报,2004,38(1):51～55
7张玉莲,赵玉成,许庆余.谐波小波在信号滤波中的应用[J].强度与环境,2000(2):29～33
8赵玉成,肖忠会,许庆余.混沌与噪声信号的谐波小波分析[J].机械强度,2001,23(1):69～71
9赵玉成,肖忠会,许庆余.谐波小波在数字滤波中的应用及其功效分析[J].机械工程学报,2000,36(10):9～12
10赵纪元,田会珍,樊可清.谐波小波与不同尺度下的轴心轨迹分析[J].石家庄铁道学院学报,1999,12(4):15～18
10高静怀,汪文秉,朱光明.小波变换与信号瞬时特征分析[J].地球物理学报,1997,40(6):821～832
11唐炬,许中荣,孙才新等.应用复小波变换抑制GIS局部放电信号中白噪声干扰的研究[J].中国电机工程学报,2005,25(16):30～34
12牟永光主编.地震勘探资料数字处理方法[M].北京:石油工业出版社,1981.3～30
2Newland D E.Harmonic wavelet in vibrations and acoustics[J].Royal Soc Trans,Philos:A,1999,1760(357):2607～2625
3赵玉成,袁树清,许庆余.奇异信号的谐波分析[J].工程力学,2000,17(3):60～65
4肖忠会.应用谐波小波滤波识别转子系统临界转速[J].风机技术,2002(2):8～10
5高强,何正嘉.谐波小波及其时频剖面图在旋转机械诊断中的应用[J].西安交通大学学报,2000,34(9):62～66
6李舜铭,许庆余.微弱振动信号的谐波小波频域提取[J].西安交通大学学报,2004,38(1):51～55
7张玉莲,赵玉成,许庆余.谐波小波在信号滤波中的应用[J].强度与环境,2000(2):29～33
8赵玉成,肖忠会,许庆余.混沌与噪声信号的谐波小波分析[J].机械强度,2001,23(1):69～71
9赵玉成,肖忠会,许庆余.谐波小波在数字滤波中的应用及其功效分析[J].机械工程学报,2000,36(10):9～12
10赵纪元,田会珍,樊可清.谐波小波与不同尺度下的轴心轨迹分析[J].石家庄铁道学院学报,1999,12(4):15～18
10高静怀,汪文秉,朱光明.小波变换与信号瞬时特征分析[J].地球物理学报,1997,40(6):821～832
11唐炬,许中荣,孙才新等.应用复小波变换抑制GIS局部放电信号中白噪声干扰的研究[J].中国电机工程学报,2005,25(16):30～34
12牟永光主编.地震勘探资料数字处理方法[M].北京:石油工业出版社,1981.3～30
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心