Multi-lag phase diagram analysis for transient signal characterization

Abstract

Phase diagram analysis is a potential technique that can offer interesting information regarding the signal shapes and eventually transient signal characterization. Indeed by choosing wisely the lag in phase diagram representations, it is possible to highlight mathematical properties such as time-shift and time-scale operators, as well as amplitude modifications. Therefore, this chapter develops the concept of multi-lag phase diagram analysis (MLPDA), as well as different methods aimed to extract parsimonious parameters from signal’s phase diagrams calculated for different values of lags. By combining all of them, we are then able to explore new ways of transient signal characterization.