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Entropy 2015, 17(10), 7101-7117; doi:10.3390/e17107101

Multi-Level Wavelet Shannon Entropy-Based Method for Single-Sensor Fault Location

College of Information Science & Technology, Beijing University of Chemical Technology, 100029 Beijing, China
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Author to whom correspondence should be addressed.
Academic Editor: Carlo Cattani
Received: 21 August 2015 / Revised: 6 October 2015 / Accepted: 14 October 2015 / Published: 20 October 2015
(This article belongs to the Special Issue Wavelets, Fractals and Information Theory)
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Abstract

In actual application, sensors are prone to failure because of harsh environments, battery drain, and sensor aging. Sensor fault location is an important step for follow-up sensor fault detection. In this paper, two new multi-level wavelet Shannon entropies (multi-level wavelet time Shannon entropy and multi-level wavelet time-energy Shannon entropy) are defined. They take full advantage of sensor fault frequency distribution and energy distribution across multi-subband in wavelet domain. Based on the multi-level wavelet Shannon entropy, a method is proposed for single sensor fault location. The method firstly uses a criterion of maximum energy-to-Shannon entropy ratio to select the appropriate wavelet base for signal analysis. Then multi-level wavelet time Shannon entropy and multi-level wavelet time-energy Shannon entropy are used to locate the fault. The method is validated using practical chemical gas concentration data from a gas sensor array. Compared with wavelet time Shannon entropy and wavelet energy Shannon entropy, the experimental results demonstrate that the proposed method can achieve accurate location of a single sensor fault and has good anti-noise ability. The proposed method is feasible and effective for single-sensor fault location. View Full-Text
Keywords: fault location; wavelet transform; Shannon entropy; sensor fault fault location; wavelet transform; Shannon entropy; sensor fault
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Yang, Q.; Wang, J. Multi-Level Wavelet Shannon Entropy-Based Method for Single-Sensor Fault Location. Entropy 2015, 17, 7101-7117.

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