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.
Similar content being viewed by others
REFERENCES
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).
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
K. Schwab, The Fourth Industrial Revolution (Currency, 2017).
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]
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
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).
E. G. Zhilyakov, ‘‘Constructing trends of time series segments,’’ Autom. Remote Control 78, 450–462 (2017). https://doi.org/10.1134/S0005117917030067
E. Ifeachor and B. Jervis, Digital Signal Processing: A Practical Approach, 2nd Ed. (Pearson, 2002).
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).
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
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
N. E. Huang and S. S. P. Shen, The Hilbert–Huang Transform and Its Applications (World Scientific Publishing, Singapore, 2005).
I. P. Yastrebov, ‘‘Some properties and applications of Hilbert–Huang transform,’’ Des. Technol. Electron. Means, No. 1, 26–33 (2016).
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.
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).
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
Corresponding author
Additional information
Translated by E. Glushachenkova
About this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S8756699021010076