A Generalized S transform and TT Transform Based on Energy Normalized Window

A generalized S transform based on energy normalized windows is presented, which avoids the weighting effect of existing S transform influenced by the time-frequency spectral energy. The transform can reflect the spectral energy distribution of different frequency components while maintaining the excellent time-frequency resolution. While TT transform is a new approach to process non-stationary signal based on S transform, which has differential concentration for different frequency components, and lower frequency components can be suppressed through extracting the TT spectrum’s diagonal elements. However, this method has a deficiency that part of high frequency interference is retained during processing low frequency signal. Therefore, time-frequency filtering based on the generalizing S transform is used to suppress the high frequency interference and TT transform is adopted to suppress the low frequency contents. Finally, this method is used to process seismic data, the result demonstrates the effective of combining energy normalized S transform and TT transform.