29 Determining Interdependencies and Causation of Vibration in Aero Engines Using Multiscale Cross-Correlation Analysis 269 Fig. 29.2 Mean and Variance of ρDPCCA for different operating conditions Fig. 29.3 ρDPCCA Heatmap for all operating condition for different runs of the engine for Vib A 29.4 Model Building Using IODMD Dynamic mode decomposition commonly referred to as DMD is an equation-free, data-driven method capable of accurately estimating the spatio-temporal coherent structures in a given complex system [6]. DMD has its root in the Koopman theory whose work was later revived in 2004 [7]. Koopman theory, in essence, strives to associate a nonlinear dynamical system with infinite dimensional linear system. DMD was first proposed to be used as a purely data-driven method for modeling
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