Research of the Method of Determining k Value in VMD based on Kurtosis
In Variational Mode Decomposition（ VMD）,k belongs to the custom variable,the decomposition result will be different with the change of k,k directly affects the accuracy of the result,which too large or too small will affect the results. Basis on the question above,a method of determining k by kurtos...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Transmission
2018-01-01
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| Series: | Jixie chuandong |
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| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.08.030 |
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| author | Wu Wenxuan Wang Zhijian Zhang Jiping Ma Weijin Wang Junyuan |
| author_facet | Wu Wenxuan Wang Zhijian Zhang Jiping Ma Weijin Wang Junyuan |
| author_sort | Wu Wenxuan |
| collection | DOAJ |
| description | In Variational Mode Decomposition（ VMD）,k belongs to the custom variable,the decomposition result will be different with the change of k,k directly affects the accuracy of the result,which too large or too small will affect the results. Basis on the question above,a method of determining k by kurtosis is proposed. Selecting an integer value of k between 2 and n,every k kurtosis of the maximum correlation coefficient is calculated,and the variation curve of kurtosis is plotted. If the kurtosis of the curve has no peak and monotonically increases,calculating the kurtosis of k is n+1,repeat the steps above. The maximum kurtosis is used as the criterion of optimization,when the kurtosis is maximum,the k is the best. The feasibility of the method is verified by the actual fault signal,a new thinking of the research for VMD is proposed. |
| format | Article |
| id | doaj-art-c8230d3655ef4c3c8ebd74b68925f1ab |
| institution | Kabale University |
| issn | 1004-2539 |
| language | zho |
| publishDate | 2018-01-01 |
| publisher | Editorial Office of Journal of Mechanical Transmission |
| record_format | Article |
| series | Jixie chuandong |
| spelling | doaj-art-c8230d3655ef4c3c8ebd74b68925f1ab2025-01-10T14:41:12ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392018-01-014215315729938208Research of the Method of Determining k Value in VMD based on KurtosisWu WenxuanWang ZhijianZhang JipingMa WeijinWang JunyuanIn Variational Mode Decomposition（ VMD）,k belongs to the custom variable,the decomposition result will be different with the change of k,k directly affects the accuracy of the result,which too large or too small will affect the results. Basis on the question above,a method of determining k by kurtosis is proposed. Selecting an integer value of k between 2 and n,every k kurtosis of the maximum correlation coefficient is calculated,and the variation curve of kurtosis is plotted. If the kurtosis of the curve has no peak and monotonically increases,calculating the kurtosis of k is n+1,repeat the steps above. The maximum kurtosis is used as the criterion of optimization,when the kurtosis is maximum,the k is the best. The feasibility of the method is verified by the actual fault signal,a new thinking of the research for VMD is proposed.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.08.030Variational mode decompositionDecomposition layerKurtosisFault diagnosis |
| spellingShingle | Wu Wenxuan Wang Zhijian Zhang Jiping Ma Weijin Wang Junyuan Research of the Method of Determining k Value in VMD based on Kurtosis Jixie chuandong Variational mode decomposition Decomposition layer Kurtosis Fault diagnosis |
| title | Research of the Method of Determining k Value in VMD based on Kurtosis |
| title_full | Research of the Method of Determining k Value in VMD based on Kurtosis |
| title_fullStr | Research of the Method of Determining k Value in VMD based on Kurtosis |
| title_full_unstemmed | Research of the Method of Determining k Value in VMD based on Kurtosis |
| title_short | Research of the Method of Determining k Value in VMD based on Kurtosis |
| title_sort | research of the method of determining k value in vmd based on kurtosis |
| topic | Variational mode decomposition Decomposition layer Kurtosis Fault diagnosis |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.08.030 |
| work_keys_str_mv | AT wuwenxuan researchofthemethodofdeterminingkvalueinvmdbasedonkurtosis AT wangzhijian researchofthemethodofdeterminingkvalueinvmdbasedonkurtosis AT zhangjiping researchofthemethodofdeterminingkvalueinvmdbasedonkurtosis AT maweijin researchofthemethodofdeterminingkvalueinvmdbasedonkurtosis AT wangjunyuan researchofthemethodofdeterminingkvalueinvmdbasedonkurtosis |