A General Parameterized Time-Frequency Analysis Based on Multiple Squeezing Mechanism

In this paper, a general system of parameterized time-frequency analysis (TFA) based on multiple reassignment procedures is proposed, named general parameterized multi-synchrosqueezing transform (GPMSST). It improves the energy concentration of the signal with different natures near the real instantaneous frequency (IF). Firstly, GPMSST uses multiple compression operation to obtain unbiased estimation of the instantaneous frequency ridge. Then, the parameters of the kernel function are estimated to get a better time-frequency representation (TFR). The discussion and numerical simulation of several potential kernel functions indicate that GPMSST can obtain satisfactory TFR for non-stationary signals.