New Approaches to the Analysis and Interpretation of the Shape of Cyclic Signals

New methods for retrieving localized diagnostic information from cyclic signals of complex shape are proposed. The advantages of an alternative method of estimating the shape of an averaged cycle based on transition from a scalar signal to its mapping on the phase plane are shown. Original methods are proposed for estimating the dynamics of parameters characterizing the shape of informative fragments of the signal, based on construction of the convex hull of the phase portrait of permutation entropy and the Levenshtein distance.