Phase onset time estimation at regional distances using the CUSUM algorithm

Physics

Scientific paper

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Scientific paper

A simple approach for the estimation of onset times of regional arrivals was tested. The method consists of the computation of the cumulative sum (CUSUM) of a test statistic, in this case, the absolute value of the trace amplitude, addition of a linear trend to the result and finding minima of the resulting function by various methods. The minima are located at the times where sudden increases in the trace amplitudes occur, i.e., at the phase onsets. The method requires frequency prefiltering in order to enhance the amplitude changes at the phase onsets. It was found that this algorithm performed comparably to a human analyst in finding onset times for Pn arrivals with varying S/N ratios. Moreover, when applied to the rest of the seismogram, it was effective in finding the onset times of the rest of the regional arrivals as long as these were clearly visible. In the rest of the cases, where there are many poorly defined arrivals, an analyst would also have difficulties in uniquely defining onset times. The method also shares with the human analyst the tendency to pick the onset times late when an emergent arrival is buried in noise.

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