Generalized dispersive mode decomposition (GDMD)

group delay (dispersion curve) estimation and mode separation for dispersive signal with crossed signal modes

The matlab codes permit to reproduce some results in the paper: Chen S, Wang K, Peng Z, et al, Generalized dispersive mode decomposition: Algorithm and applications, Journal of Sound and Vibration, 2020. The algorithm used in the paper is a dual version (in frequency domain) of that in the paper: Chen S, Yang Y, Peng Z, et al, Adaptive chirp mode pursuit: Algorithm and applications, Mechanical Systems and Signal Processing, 2018. Some of the scripts are adopted from the paper: Chen S, Dong X, Peng Z, et al, Nonlinear Chirp Mode Decomposition: A Variational Method, IEEE Transactions on Signal Processing, 2017. and the paper: Chen S, Dong X, Xing G, et al, Separation of Overlapped Non-Stationary Signals by Ridge Path Regrouping and Intrinsic Chirp Component Decomposition, IEEE Sensors Journal, 2017.

The proposed GDMD method can not only characterize transient impulse fault signals but also guided waves (e.g., Lamb wave) with strong dispersion properties.