A modified differencing method of the detection of irregular jumping changes in discrete measuring signals (e.g. time series of changes of coordinate points GPS) in the presence of disruptions of the signal with random measuring noise (white noise) and of accidental diverging observations (outliers) was shown at the work. The method consists in replacing the moving average in the classic algorithm of the differencing method through the median, what to a considerable degree the influence of diverging observation is being limited by. The method was tested on simulated measuring signals. How the test calculations demonstrated, the method is effective even for relatively narrow window on the side of following observations after tested measuring epoch. It allows on relatively fast alarming because of becoming known the irregular change about the amplitude even on the border of measuring noise (3 sigma). The method can find application in automatic control-measuring systems using the satellite system GPS for displacement monitoring of engineering objects, in particular for monitoring of hydro technical, industrial and mining objects’ deformations.

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