Abstract
Learning in non-stationary/evolving environments requires methods able to process and deal with non-stationary streams. In this paper we propose a novel algorithm providing a time-frequency decomposition of time-variant signals. Outcoming signals can be used to identify anomalous events/patterns or extract features associated with the time-variance of the signal, precious information for any consequent learning action. The paper extends the Hilbert-Huang Transform notoriously used to deal with time-variant signals by introducing (i) a new Empirical Mode Decomposition that identifies the number of frequency modes of the signal and (ii) an extension of the Hilbert Transform that eliminates negative frequency-values in the time-frequency spectrum. The effectiveness of the proposed Transform has been tested on both synthetic and real time-variant signals acquired by a real-world intelligent system for landslide monitoring.
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References
Alippi, C.: Intelligence for Embedded Systems. Springer (2014)
Alippi, C., Camplani, R., Galperti, C., Marullo, A., Roveri, M.: A high-frequency sampling monitoring system for environmental and structural applications. ACM Trans. Sensor Netw. (TOSN) 9(4), 41 (2013)
Diks, C.: Nonlinear Time Series Analysis.: Methods and Applications, vol. 4. World Scientific (1999)
Ditzler, G., Roveri, M., Alippi, C., Polikar, R.: Learning in nonstationary environments: a survey. IEEE Comput. Intell. Mag. 10(4), 12–25 (2015)
Esfahani, E.T., Wang, S., Sundararajan, V.: Multisensor wireless system for eccentricity and bearing fault detection in induction motors. IEEE/ASME Trans. Mechatron. 19(3), 818–826 (2014)
Gröchenig, K.: Foundations of Time-frequency Analysis. Springer Science & Business Media (2013)
Huang, N.E.: Computing frequency by using generalized zero-crossing applied to intrinsic mode functions (2006)
Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., Shih, H.H., Zheng, Q., Yen, N.C., Tung, C.C., Liu, H.H.: The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. In: Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol. 454, pp. 903–995. The Royal Society (1998)
Huang, N.E., Wu, M.L.C., Long, S.R., Shen, S.S., Qu, W., Gloersen, P., Fan, K.L.: A confidence limit for the empirical mode decomposition and Hilbert spectral analysis. In: Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. vol. 459, pp. 2317–2345. The Royal Society (2003)
Huang, N.E.: Hilbert-Huang Transform and Its Applications, vol. 16. World Scientific (2014)
Huang, S.D., Cao, G.Z., He, Z.Y., Pan, J., Duan, J.A., Qian, Q.Q.: Nonlinear modeling of the inverse force function for the planar switched reluctance motor using sparse least squares support vector machines. IEEE Trans. Ind. Inform. 11(3), 591–600 (2015)
Kantz, H., Schreiber, T.: Nonlinear Time Series Analysis, vol. 7, Cambridge University Press (2004)
Kuo, S.M., Lee, B.H., Tian, W.: Real-Time Digital Signal Processing: Fundamentals, Implementations and Applications. Wiley (2013)
Park, J.W., Chu, M.K., Kim, J.M., Park, S.G., Cho, S.J.: Analysis of trigger factors in episodic migraineurs using a smartphone headache diary applications. PLoS One 11(2), e0149577 (2016)
Rilling, G., Flandrin, P., Gonçalves, P.: On empirical mode decomposition and its algorithms. In: Proceedings of IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing NSIP-03 (2003)
Schreier, P.J., Scharf, L.L.: Statistical Signal Processing of Complex-valued Data. The Theory of Improper and Noncircular Signals. Cambridge University Press (2010)
Wu, Z., Huang, N.E.: Ensemble empirical mode decomposition: a noise-assisted data analysis method. Adv. Adapt. Data Anal. 1(01), 1–41 (2009)
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Alippi, C., Qi, W., Roveri, M. (2018). An Improved Hilbert-Huang Transform for Non-linear and Time-Variant Signals. In: Esposito, A., Faudez-Zanuy, M., Morabito, F., Pasero, E. (eds) Multidisciplinary Approaches to Neural Computing. Smart Innovation, Systems and Technologies, vol 69. Springer, Cham. https://doi.org/10.1007/978-3-319-56904-8_11
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DOI: https://doi.org/10.1007/978-3-319-56904-8_11
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