Skip to main content
Log in

Approach to the Detection of Anomalies in Process Signals by Using the Hilbert–Huang Transform

  • Published:
Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

In the frame of this study, the problem of detecting the anomalies in nonstationary process signals as earlier signs of equipment faults and breakdowns is considered. The approach to the detection of anomalies by using the Hilbert–Huang transform in combination with the statistical model is presented. The main idea of this approach consists in analyzing the statistical parameters of the elements of Hilbert–Huang transform, which is adaptive in the case of nonstationary data and provides high itemization in the frequency-time region. The schematic layout and algorithm of this approach, the statistical classification model, the numerical calculations on model and real data, and the comparative analysis with other methods of detecting the anomalies in signals are described.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

REFERENCES

  1. D. A. Murzagulov and A. V. Zamyatin, ‘‘Adaptive algorithms of machine learning in the management of technological processes,’’ Autom. Mod. Technol. 72, 354–361 (2018).

    Google Scholar 

  2. Sh.-Y. Chuang, N. Sahoo, H.-W. Lin, and Y.-H. Chang, ‘‘Predictive maintenance with sensor data analytics on a raspberry Pi-based experimental platform,’’ Sensors 19, 3884 (2019). https://doi.org/10.3390/s19183884

    Article  ADS  Google Scholar 

  3. K. Schwab, The Fourth Industrial Revolution (Currency, 2017).

    Google Scholar 

  4. M. Braei and S. Wagner, ‘‘Anomaly detection in univariate time-series: a survey on the state-of-the-art,’’ (2020). arXiv:2004.00433 [cs.LG]

  5. D. A. Murzagulov, A. V. Zamyatin, and P. M. Ostrast, ‘‘Approach to detection of anomalies of process signals using classification and wavelet transforms,’’ in Proc. Int. Russian Automation Conf. (RusAutoCon 2018), Sochi, 2018, Vol. 1, 2. (IEEE, New York, 2018), pp. 492–495. https://doi.org/10.1109/RUSAUTOCON.2018.8501786

  6. D. V. Dyatlov, A. V. Dimaki, and A. A. Svetlakov, ‘‘The software simulator of industrial electrical noises affecting sensors and communication lines of process control systems,’’ Proc. TUSUR Univ., No. 2-1, 205–213 (2012).

  7. E. G. Zhilyakov, ‘‘Constructing trends of time series segments,’’ Autom. Remote Control 78, 450–462 (2017). https://doi.org/10.1134/S0005117917030067

    Article  MathSciNet  MATH  Google Scholar 

  8. E. Ifeachor and B. Jervis, Digital Signal Processing: A Practical Approach, 2nd Ed. (Pearson, 2002).

    Google Scholar 

  9. N. E. Balakirev, S. Yu. Gusnin, M. A. Malkov, and L. M. Chervyakov, ‘‘Speech signal filtering using wavelet method for solving speech recognition problems,’’ Proc. Southwest State Univ., No. 5-2, 44–50 (2012).

  10. C. E. Shannon, ‘‘A mathematical theory of communication,’’ The Bell Syst. Tech. J. 27, 379–423 (1948). https://doi.org/10.1002/j.1538-7305.1948.tb01338.x

    Article  MathSciNet  MATH  Google Scholar 

  11. N. E. Huang, Z. Shen, S. R. Long, M. C. Wu, H. H. Shih, Q. Zheng, N.-Ch. Yen, Ch. Ch. Tung, and H. H. Liu, ‘‘The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis,’’ Proc. R. Soc. A. 454, 903–995 (1998). https://doi.org/10.1098/rspa.1998.0193

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. N. E. Huang and S. S. P. Shen, The Hilbert–Huang Transform and Its Applications (World Scientific Publishing, Singapore, 2005).

    Book  Google Scholar 

  13. I. P. Yastrebov, ‘‘Some properties and applications of Hilbert–Huang transform,’’ Des. Technol. Electron. Means, No. 1, 26–33 (2016).

    Google Scholar 

  14. S. Gavrin, D. Murzagulov, and A. Zamyatin, ‘‘Anomaly detection in process signals within machine learning and data augmentation approach,’’ in Proc. 15th Int. Conf. on Machine Learning and Data Mining in Pattern Recognition (MLDM 2019), New York, 2019, Vol. 2 (ibai-Publishing, Leipzig, 2019), pp. 585–598.

  15. A. V. Frolov, V. V. Voevodin, I. N. Konshin, and A. M. Teplov, ‘‘Study of structural properties of Cholesky decomposition: from well-known facts to new conclusions,’’ Vestn. UGATU 19 (4), 149–162 (2015).

    Google Scholar 

Download references

Funding

This study was supported by the Russian Foundation for Basic Research (project no. 19-37-90124) and the Tomsk State University (project no. 8.1.62.2018).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. A. Murzagulov.

Additional information

Translated by E. Glushachenkova

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Murzagulov, D.A., Zamyatin, A.V. & Romanovich, O.V. Approach to the Detection of Anomalies in Process Signals by Using the Hilbert–Huang Transform. Optoelectron.Instrument.Proc. 57, 27–36 (2021). https://doi.org/10.3103/S8756699021010076

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S8756699021010076

Keywords:

Navigation