Parameterized Adaptive Matching of Generalized Demodulation Transform for Signals with CrossFrequency Trajectories

Time-frequency analysis (TFA) is widely used in the mechanical equipment fault diagnosis, however, it is difficult to handle multi-component signals with current methods, especially those with cross-frequency trajectories. This paper develops an iterative method called parameterized adaptive matching of generalized demodulation transform (PAMGD). It works by a series of angle parameters to calculate the timefrequency representation (TFR) of the signal. Multi-indicator fusion is proposed to guide the selection of angles at each moment point. The angles matched to the signal are retained for generating the final TFR. The signal components with higher amplitude is iteratively estimated and the residual signal is updated by removing the detected mode. PAMGD clearly shows TFR with multiple components and cross-frequency trajectories. The effectiveness of PAMGD in processing multi-component signals is proved by simulations and experimental signals.