[an error occurred while processing this directive] [an error occurred while processing this directive]
[an error occurred while processing this directive]Research on Detection Method of ESMD Signal Based on Improved Energy Entropy
Received date: 2018-04-12
Online published: 2025-05-20
为解决极点对称模态分解(extreme-pointsymmetricmodedecomposition,ESMD)算法存在的端点效应和模态混叠问题,提出了一种基于改进能量熵的ESMD信号检测方法,采用极值对称中点插值来替代ESMD原来的内部极点对称插值,以缓解三次样条插值带来的端点漂移和模态失真,将模态能量相对值和能量熵增量结合来识别虚假模态分量。仿真结果表明,该方法不但能够抑制端点效应,得出信号包含的各频率信号的信息,还可识别虚假模态,达到较好的分解效果,验证了方法的有效性。
关键词: 极点对称模态分解(ESMD); 能量熵; 端点效应; 虚假 IMF 识别
宿文才 , 张树团 , 贺英政 . 基于改进能量熵的ESMD 信号检测方法研究[J]. 弹箭与制导学报, 2019 , 39(3) : 17 -20,26 . DOI: 10.15892/j.cnki.djzdxb.2019.03.005
In order to solve the endpoint effect and modal aliasing problem of Extreme-point Symmetric Mode Decomposition (ESMD) algorithm, an improved energy entropy-based ESMD signal detection method is proposed, which uses extreme value symmetric midpoint interpolation. Instead of ESMD's original internal pole-symmetric interpolation, the endpoint drift and modal distortion caused by cubic spline interpolation are alleviated, and the modal energy relative value and energy entropy increment are combined to identify the false modal component. The simulation results show that the proposed method can not only suppress the end effect, but also obtain the information of each frequency signal contained in the signal. It can also identify the false mode and achieve better decomposition effect, and verify the effectiveness of the proposed method.
| [1] | HUANG N E.,SHEN Z,LONG S R.,et al.The empirical mode decomposition and the hilbert spectrum for nonlinear and non-stationary time series analysis[J]. Proceedings of the Royal Society(A): Mathematical,Physical & Engineering Sciences,1998,454(1971): 903-995. |
| [2] | WU Z H,HUANG N E.Ensemble empirical mode decomposition: A noise-assisted data analysis method[J]. Advances in Adaptive Data Analysis,2009,1(1): 1-41. |
| [3] | TORRES M E,COLOMINAS M A,SCHLOTTHAUER G,et al.A complete ensemble empirical mode decomposition with adaptive noise[C] / /IEEE.Proceedings of 2011 IEEE International Conference on Acoustics,Speech and Signal Processing.[S.l.]: IEEE,2011: 4144-4147. |
| [4] | 王金良,李宗军.极点对称模态分解方法: 数据分析与科学探索的新途径[M]. 北京: 高等教育出版社,2015: 41-61. |
| [5] | LI H F,WANG J l,LI Z J.Application of ESMD method to air-sea flux investigation[J]. International Journal of Geosciences,2013,4(5B): 8-11. |
| [6] | 李伟红,田真真,龚卫国,等.改进的 ESMD 用于公共场所异常声音特征提取[J]. 仪器仪表学报,2016,37(11): 2429-2437. |
| [7] | 张淑清,徐剑涛,姜安琦,等.基于极点对称模态分解和概率神 经 网 络 的 轴 承 故 障 诊断[J]. 中国机械工程,2017,28(4): 425-431. |
| [8] | 张丹.基于 ESMD 分析的互联网货币市场基金套利定价研究[D]. 合肥: 合肥工业大学,2016. |
| [9] | 李星雨,邱晓燕,赵劲帅,等.基于极点对称模态分解和需求响应的风电消纳策略[J]. 电力建设,2017,38(7) :51-58. |
| [10] | 张雪,龚晓峰.EEMD 联合能量熵及小波阈值的语音去噪方法[J]. 计算机工程与设计,2016,37(3): 731-736. |
/
| 〈 |
|
〉 |