Time-Frequency Distribution of Generalized S-Transform Under Alpha Stable Distributed Noise Conditions

In order to solve the problem that generalized s-transform time-frequency distribution method is invalid under α-stable distribution noise environments. This paper proposes an improved fractional lower order generalized s-transform (FLO-GST) algorithm. It combines the theory of fractional lower order spectrum with conventional generalized s-transform time-frequency distribution algorithm, and at the same time introduces regulatory factor of window function to improve time-frequency concentration. The simulation results and analysis show that, compared to conventional methods of time-frequency analysis, the proposed method is more robust under α-stable distribution interference environments than conventional methods.