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New Procedure for Change Detection Operating on Rényi Entropy with Application in Seismic Signals Processing

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Abstract

Reliable characterization of different signals is essential for better understanding of their generating and propagation phenomena. Many works in this area have been based on detecting special patterns or clusters in data, and event detection using parametric models. In this paper, we present an approach making use of the short-term time–frequency Rényi entropy and an algorithm to discriminate between the model parameter and noise variance changes, operating on Rényi entropy, as a new space of decision. This method enables a simpler analysis and interpretation of signals behavior. The experimental results obtained by Monte Carlo simulations for a multi-component synthetic signal, embedded in additive white Gaussian noise of different levels, proved the effectiveness of the procedure. Also, the procedure is used, with good results, in the analysis of a seismic signal with two components, during a strong to moderate ground motion. Finally, a comparison of the obtained results with those offered by other change detection approaches is presented.

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Acknowledgements

The authors thank the Executive Agency for Higher Education, Research, Development and Innovation Funding (UEFISCDI) for its support under Contracts PN-II-PT-PCCA-2013-4-0044, Grant 224-2014.

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Correspondence to Theodor D. Popescu.

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Popescu, T.D., Aiordǎchioaie, D. New Procedure for Change Detection Operating on Rényi Entropy with Application in Seismic Signals Processing. Circuits Syst Signal Process 36, 3778–3798 (2017). https://doi.org/10.1007/s00034-017-0492-y

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  • DOI: https://doi.org/10.1007/s00034-017-0492-y

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