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's 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 timescale operators , as well as amplitude modifications. Therefore, this paper 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.
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Cindy Bernard, Angela Digulescu, Alexandre Girard, Cornel Ioana. Multi-lag Phase Diagram Analysis for Transient Signal Characterization. Charles L. Webber, Jr., Cornel Ioana, Norbert Marwan Recurrence Plots and Their Quantifications: Expanding Horizons, 180, Springer, pp.39 - 63, 2016, Springer Proceedings in Physics, 978-3-319-29921-1. ⟨10.1007/978-3-319-29922-8_3⟩. ⟨hal-01448224⟩

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