Adaptive Time-Resampled High-Resolution Synchrosqueezing Transform and Its Application in Seismic Data

Synchrosqueezing transform (SST) has been used to address the problems in many diverse disciplines. However, the calculated instantaneous frequency (CIF) precision by SST decreases with the increase in time-sample interval and actual instantaneous frequency. This will lead to an incorrect time-requency distribution. To eliminate the impact of the time-sample interval and to enhance the CIF precision and SST resolution, we propose an adaptive time-resampled high-resolution SST, in which the time-resampled interval of the time-frequency spectrum for instantaneous frequency calculation is adapted to the highest frequency in its effective frequency band and the desired CIF precision. A synthetic signal example shows that the adaptive time-resampled high-resolution SST can eliminate the impact of the time-sample interval and achieve correct and desired high-resolution time-frequency distribution. A real 3-D seismic data application demonstrates that the proposed approach is a good potential technique for high-precision signal processing and interpretation.