Time-frequency analysis method based on short-time fractional Fourier transform

The resolution precision and algorithm stability of the short-time fractional Fourier transform (STFRFT) time-frequency method was studied. Firstly, the mathematical expression of the STFRFT time-frequency resolution was given in this paper, which is beneficial to the time-frequency resolution theory quantitative comparison, and simulation results showed that the theoretical quantitative value is basically consistent with the observed value. Secondly, this paper proposed a fast calculation method of STFRFT to decrease the computational complexity, its calculation amount comparing with the traditional search method was reduced about an order of magnitude; Finally, the paper gave the estimation error theoretical analysis of the algorithm and applied the method to analyze the multi-target signal. The simulation results showed that this method could effectively suppress cross-terms and resolve the problem of multi-component signal separation.