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.