Time Series Based Data Explorer and Stream Analysis for Anomaly Prediction

Figure 3

Curved phenomena in time series. Both the two sequences in the above figure contain 20 observations and have similar semantics: both of them consist of a crest (AB and ab) and a trough (AB and cd) that appear sometime after the crest appears. It should be noted that the two peaks and two troughs appear at different moments, which is called a time dislocation; the time spans of the two peaks and two troughs are different, which is a phenomenon of different duration; the balance positions of the two sequences are different, which is a phenomenon of amplitude dislocation. The fluctuation amplitudes of the two peaks and two troughs are different, which is a phenomenon of different amplitudes. The two sequences in Figure 1 are resulted from -standardization of the sequence in this figure, in which amplitude curvature is effectively alleviated, while time curvature is on the contrary.