Symbolic dynamics of wavelet images for pattern identification
Xin Jin, Shalabh Gupta, Kushal Mukherjee, Asok Kumar Ray · 2010
Symbolic time series analysis has been introduced in recent literature for pattern identification in dynamical systems. Relevant information, embedded in the measured time series, is extracted in the form of symbol sequences by partitioning of the data sets, and probabilistic finite state automata are constructed from these symbol sequences to generate pattern vectors. This paper presents a symbolic pattern identification method by partitioning of two-dimensional wavelet (i.e., scale-shift) images of sensor time series data. The proposed method is experimentally validated on a laboratory apparatus for identification of evolving patterns due to fatigue damage in polycrystalline alloy specimens.