基于小波变换提升算法的二维信号降噪新方法研究
|
摘要
在经典小波去噪中,小波分解的结果与所采用的小波基函数有关,一旦选用不适当的小波基函数会冲淡振动信号的局部特征信息,从而造成原始信号的细节信息丢失。为了克服上述缺陷,Wim Sweldens博士提出了一种使用提升模式构造小波的方法,即第二代小波。文章讨论了一种基于前人成果发展出的二维信号降噪算法,证明了在二维降噪实践中第二代小波算法的优越性。
In the demising of traditional wavelet transforms,the result of wavelet decomposing is related with basis function.The adopted wavelet which is ill-suited can delude the local characteristic of vibrating signal,and lost some useful detail information of original for signal.In order to overcome mentioned limitation,Dr.Wim Sweden proposed the method of constructing wavelet function.Based on the lifting scheme,an adaptive wavelet transform denoising metho which uses,the correlation of even and odd space to construct lifting scheme to detect features of signal was proposed.The result of simulation and experiment showed that the new method is better than traditional wavelet in demising.
In the demising of traditional wavelet transforms,the result of wavelet decomposing is related with basis function.The adopted wavelet which is ill-suited can delude the local characteristic of vibrating signal,and lost some useful detail information of original for signal.In order to overcome mentioned limitation,Dr.Wim Sweden proposed the method of constructing wavelet function.Based on the lifting scheme,an adaptive wavelet transform denoising metho which uses,the correlation of even and odd space to construct lifting scheme to detect features of signal was proposed.The result of simulation and experiment showed that the new method is better than traditional wavelet in demising.
引文
[1]郭科,陈聆,唐菊兴,等.基于卡尔曼滤波的信息融合技术在区域化探异常综合评价中的应用探索[J].地学前缘,2006,13(5):533-536.
[2]郭科,倪秀静,许强.小波奇异性分析在滑坡体位移监测降噪中的应用[J].成都理工大学学报:自然科学版,2005,32(2):208-212.
[3]郭科,陈聆,唐菊兴.复杂地质地貌区地球化学异常识别非线性研究[J].成都理工大学学报:自然科学版,2007,34(6):599-604.
[4]陈聆,郭科,许强,等.斜坡演化前兆异常识别的小波分析[J].地球物理学进展,2007.22(6):1966-1969.
[5]段晨东,姜洪开,何正嘉.一种改进的第2代小波变换算法及应用[J].西安交通大学学报,2004,38(1):47-49.
[6]盖广洪,屈梁生,李崇晟.二代小波消噪在数字信号处理器中的实时实现[J].西安交通大学学报,2004.38(3):52-55.
[7]陈香朋,曹思远.第二代小波变换及其在地震信号去噪中的应用[J].石油物探,2004,43(6):224-227
[8]何正嘉.小波有限元理论及其工程应用[M].北京:科学出版社,2006.
[9]Daubechies I,Swenldens W.Factoring wavelet trans-form intolifting steps[J].Journal of J.Math Anal Ap-pl.,1998,4(3):247-269.
[10]Claypoole R L.Flexible wavelet transforms using lift-ing[EB/OL].http://www.seg.drg/meetings/past/seg1998/techprog/st18/paper1375.pdf2002-09-23,1998.
[11]段晨东,何正嘉.第二代小波降噪及其在故障诊断系统中的应用[J].小型微型计算机系统,2004,25(7):1341-1343
[12]刘树春,潘紫微,宋淼.第二代小波在振动信号去噪中新方法的研究[J].机械传动,2008,32(3):64-69.
[13]Claypoole R L,Geoffrey M D,Sweldens W,et al.Nonlinear wavelet transforms for image coding via-lifting[J].IEEE Transactions on Image Processing,2003,12(12):1449-1459.
[14]Donoho D L.De-noising by soft-thresholding[J].IEEE Transactions on Information Theory,1995,41(3):613-627.
[15]段晨东.基于第二代小波变换的混合小波降噪方法[J].中国机械工程,2007,18(14):1700-1703.
[16]孔国杰,张培林,曹建军,等.基于提升小波变换的信号降噪及其工程应用[J].计算机工程与应用,2008,44(10):234-236.
[17]黄晓莉,曾黄麟,王秀碧,等.一种新的图像融合算法[J].四川理工学院学报:自然科学版,2008,21(4):74-83.
[18]高飞,杨平先,孙兴波.基于小波变换与阀值收缩法的图像增强去噪[J].四川理工学院院报:自然科学版,2006,19(2):8-14.
[2]郭科,倪秀静,许强.小波奇异性分析在滑坡体位移监测降噪中的应用[J].成都理工大学学报:自然科学版,2005,32(2):208-212.
[3]郭科,陈聆,唐菊兴.复杂地质地貌区地球化学异常识别非线性研究[J].成都理工大学学报:自然科学版,2007,34(6):599-604.
[4]陈聆,郭科,许强,等.斜坡演化前兆异常识别的小波分析[J].地球物理学进展,2007.22(6):1966-1969.
[5]段晨东,姜洪开,何正嘉.一种改进的第2代小波变换算法及应用[J].西安交通大学学报,2004,38(1):47-49.
[6]盖广洪,屈梁生,李崇晟.二代小波消噪在数字信号处理器中的实时实现[J].西安交通大学学报,2004.38(3):52-55.
[7]陈香朋,曹思远.第二代小波变换及其在地震信号去噪中的应用[J].石油物探,2004,43(6):224-227
[8]何正嘉.小波有限元理论及其工程应用[M].北京:科学出版社,2006.
[9]Daubechies I,Swenldens W.Factoring wavelet trans-form intolifting steps[J].Journal of J.Math Anal Ap-pl.,1998,4(3):247-269.
[10]Claypoole R L.Flexible wavelet transforms using lift-ing[EB/OL].http://www.seg.drg/meetings/past/seg1998/techprog/st18/paper1375.pdf2002-09-23,1998.
[11]段晨东,何正嘉.第二代小波降噪及其在故障诊断系统中的应用[J].小型微型计算机系统,2004,25(7):1341-1343
[12]刘树春,潘紫微,宋淼.第二代小波在振动信号去噪中新方法的研究[J].机械传动,2008,32(3):64-69.
[13]Claypoole R L,Geoffrey M D,Sweldens W,et al.Nonlinear wavelet transforms for image coding via-lifting[J].IEEE Transactions on Image Processing,2003,12(12):1449-1459.
[14]Donoho D L.De-noising by soft-thresholding[J].IEEE Transactions on Information Theory,1995,41(3):613-627.
[15]段晨东.基于第二代小波变换的混合小波降噪方法[J].中国机械工程,2007,18(14):1700-1703.
[16]孔国杰,张培林,曹建军,等.基于提升小波变换的信号降噪及其工程应用[J].计算机工程与应用,2008,44(10):234-236.
[17]黄晓莉,曾黄麟,王秀碧,等.一种新的图像融合算法[J].四川理工学院学报:自然科学版,2008,21(4):74-83.
[18]高飞,杨平先,孙兴波.基于小波变换与阀值收缩法的图像增强去噪[J].四川理工学院院报:自然科学版,2006,19(2):8-14.
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