GEOPHYSICAL RESEARCH, 2016, vol.17, no.1, pp.37-45.

Abstract  References  Full text (in Russian)  Full text (in English)

UDC 550.334

ENTROPY MEASURE OF OUTLIERS IN GPS TIME SERIES

©2016  P.V. Yakovlev

Ordzhonikidze Russian State Geological Prospecting University, Moscow, Russia

Abstract. The method of detection of significant outliers in GPS time series is proposed. The approach consists in measuring deviation at each time point relative to both left and right parts of the original time series of such statistics as standard deviation. The standard deviation is chosen because of its sensitivity to small value changes in time series. Normalized entropy is used to define to what extend outliers affect a signal.

Examples of 30-minute GPS signal analysis before and after the mega-earthquake in Japan (March 11, 2011) and also maps of normalized entropy that identify anomalous zones are presented in the article. It is shown that the epicenter is characterized by low entropy of outliers both before and after the seismic catastrophe. While the low entropy of outliers after the event is easily explained by post-seismic and aftershocks effects, revealing the anomaly of low entropy of outliers that appeared before the earthquake is more important result of the analysis carried out. 

Keywords: GPS signals, time series analysis, earthquake forecast, outliers detection.

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