Adaptive Concise Empirical Ramanujan Decomposition and Its Application in Composite Fault Diagnosis

PAN Hai-yang; ZHANG Ying; CHENG Jian; ZHENG Jin-de; TONG Jin-yu

doi:10.12263/DZXB.20230593

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Adaptive Concise Empirical Ramanujan Decomposition and Its Application in Composite Fault Diagnosis

PAPERS | 更新时间：2025-12-11

- Adaptive Concise Empirical Ramanujan Decomposition and Its Application in Composite Fault Diagnosis
- ACTA ELECTRONICA SINICA Vol. 52, Issue 6, Pages: 1989-1999(2024)
- 作者机构：
  
  安徽工业大学机械工程学院，安徽马鞍山 243002
- 作者简介：
- 基金信息：
  
  Outstanding Youth Fund of Universities in Anhui Province(2022AH020032);University Natural Science Research Project of Anhui Province(2022AH050292);Anhui Key Laboratory of Mine Intelligent Equipment and Technology(ZKSYS202203)
- DOI：10.12263/DZXB.20230593
  CLC： TH17;TP206
- Received：26 June 2023，
  
  Revised：2023-11-23，
  
  Published：25 June 2024
- 稿件说明：
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潘海洋, 章颖, 程健, 等. 自适应精简经验Ramanujan分解及其在复合故障诊断中的应用[J]. 电子学报, 2024, 52(06): 1989-1999.

PAN Hai-yang, ZHANG Ying, CHENG Jian, et al. Adaptive Concise Empirical Ramanujan Decomposition and Its Application in Composite Fault Diagnosis[J]. Acta Electronica Sinica, 2024, 52(06): 1989-1999.
潘海洋, 章颖, 程健, 等. 自适应精简经验Ramanujan分解及其在复合故障诊断中的应用[J]. 电子学报, 2024, 52(06): 1989-1999. DOI：10.12263/DZXB.20230593

PAN Hai-yang, ZHANG Ying, CHENG Jian, et al. Adaptive Concise Empirical Ramanujan Decomposition and Its Application in Composite Fault Diagnosis[J]. Acta Electronica Sinica, 2024, 52(06): 1989-1999. DOI：10.12263/DZXB.20230593

摘要

Ramanujan傅里叶模态分解采用低频向高频扫描的方式获取分量信号，易出现过量分解和信息分散的现象，致使分解分量不具有单一完整的状态信息.为了解决上述问题，论文提出了一种自适应精简经验Ramanujan分解（Adaptive Concise Empirical Ramanujan Decomposition，ACERD）方法.在ACERD方法中，采用功率谱密度获取分割频带，旨在进行准确的频带划分.同时，利用Ramanujan傅里叶变换提取每个分割频带所对应的模式分量，提高周期分量的识别能力，并获得具有单一周期特征信息的模式分量.通过复合故障仿真信号和实测信号分析，结果表明：ACERD方法具有优异的频带分割和周期脉冲特征提取能力，适用于复合故障诊断.

Abstract

Ramanujan Fourier mode decomposition uses scanning from low frequency to high frequency to obtain component signals

which is prone to excessive decomposition and information dispersion

resulting in decomposed components not having a single and complete mode information. To address the above issues

this paper proposes an adaptive concise empirical Ramanujan decomposition (ACERD) method. In the ACERD method

the power spectral density is used to obtain the split frequency band for accurate frequency band division. Meanwhile

the Ramanujan Fourier transform is used to extract the mode components corresponding to each segmented frequency band

improve the recognition ability of periodic components

and obtain mode components with a single periodic feature information. The analysis results of composite fault simulation signals and measured signals indicate that the ACERD method has excellent capability of frequency band segmentation and periodic pulse feature extraction

which is suitable for compound fault diagnosis.

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references

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 of London Series A , 1998 , 454 ( 1971 ): 903 - 998 .

YUAN J , XU C , ZHAO Q , et al . High-fidelity noise-reconstructed empirical mode decomposition for mechanical multiple and weak fault extractions [J ] . ISA Transactions , 2022 , 129 ( Pt B ): 380 - 397 .

ZHAO Y X , FAN Y , LI H , et al . Rolling bearing composite fault diagnosis method based on EEMD fusion feature‍ [J ] . Journal of Mechanical Science and Technology , 2022 , 36 ( 9 ): 4563 - 4570 .

郑近德 , 潘海洋 , 童靳于 , 等 . 自适应掩膜信号集成局部特征尺度分解及其应用 [J ] . 电子学报 , 2020 , 48 ( 10 ): 2060 - 2070 .

ZHENG J D , PAN H Y , TONG J Y , et al . Adaptive mask signal-based local characteristic-scale decomposition and its application [J ] . Acta Electronica Sinica , 2020 , 48 ( 10 ): 2060 - 2070 . (in Chinese)

李可 , 牛园园 , 宿磊 , 等 . 参数优化VMD的滚动轴承故障诊断方法 [J ] . 振动工程学报 , 2023 , 36 ( 1 ): 280 - 287 .

LI K , NIU Y Y , SU L , et al . Rolling bearing fault diagnosis method based on parameter optimized VMD [J ] . Journal of Vibration Engineering , 2023 , 36 ( 1 ): 280 - 287 . (in Chinese)

吴龙文 , 聂雨亭 , 张宇鹏 , 等 . 基于变分模态分解的自适应滤波降噪方法 [J ] . 电子学报 , 2021 , 49 ( 8 ): 1457 - 1465 .

WU L W , NIE Y T , ZHANG Y P , et al . An adaptive filtering denoising method based on variational mode decomposition [J ] . Acta Electronica Sinica , 2021 , 49 ( 8 ): 1457 - 1465 . (in Chinese)

LIU Q Q , YANG J T , ZHANG K . An improved empirical wavelet transform and sensitive components selecting method for bearing fault [J ] . Measurement , 2022 , 187 : 110348 .

ZHOU W , FENG Z R , XU Y F , et al . Empirical Fourier decomposition: An accurate signal decomposition method for nonlinear and non-stationary time series analysis [J ] . Mechanical Systems and Signal Processing , 2022 , 163 : 108155 .

ZHENG J D , CAO S J , PAN H Y , et al . Spectral envelope-based adaptive empirical Fourier decomposition method and its application to rolling bearing fault diagnosis [J ] . ISA Transactions , 2022 , 129 ( Pt B ): 476 - 492 .

周伟 , 冯仲仁 , 王雄江 . 基于改进经验傅里叶分解的工作模态分析 [J ] . 振动与冲击 , 2021 , 40 ( 9 ): 48 - 54 .

ZHOU W , FENG Z R , WANG X J . Operational modal analysis based on improved empirical Fourier decomposition [J ] . Journal of Vibration and Shock , 2021 , 40 ( 9 ): 48 - 54 . (in Chinese)

MARY LITTLE FLOWER T , JAYA T . Speech emotion recognition using Ramanujan Fourier Transform [J ] . Applied Acoustics , 2022 , 201 : 109133 .

YADAV Y , SHARMA S N , SHAKYA D K . Detection of tandem repeats in DNA sequences using short-time Ramanujan Fourier transform [J ] . IEEE/ACM Transactions on Computational Biology and Bioinformatics , 2022 , 19 ( 3 ): 1583 - 1591 .

CHENG J , YANG Y , WU Z T , et al . Ramanujan Fourier mode decomposition and its application in gear fault diagnosis [J ] . IEEE Transactions on Industrial Informatics , 2022 , 18 ( 9 ): 6079 - 6088 .

PAN H Y , ZHANG Y , CHENG J , et al . Adaptive multi-layer empirical Ramanujan decomposition and its application in roller bearing fault diagnosis [J ] . Measurement , 2023 , 213 : 112707 .

ZHANG K , MA C Y , XU Y G , et al . Feature extraction method based on adaptive and concise empirical wavelet transform and its applications in bearing fault diagnosis‍ [J ] . Measurement , 2021 , 172 : 108976 .

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