## 3 Examples
### 3D Field Seismic Data Example  
We applied MSTF, CSST, PSST, and HSST to a 3D field seismic data with \(\Delta t\) = 2 ms.  
Figure 5a-c show amplitudes, instantaneous amplitudes, and principal instantaneous phases of crossline 1 extracted from the field 3D seismic data, respectively.  
Figure 5: Crossline 1: (**a**) Amplitudes; (**b**) Instantaneous amplitudes; (**c**) Principal instantaneous phases.  
Figure 7a-c show 30 Hz time-frequency instantaneous amplitudes of crossline 1 obtained by MSTFT, PSST, and HSST, respectively; Figure 7d-f show 50 Hz time-frequency instantaneous amplitudes of crossline 1 obtained by MSTFT, PSST, and HSST, respectively; Figure 7g shows the differences between Figure 7b,c, and Figure 7h shows the differences between Figure 7e,f. Figure 7b,c have higher resolutions than Figure 7a, and Figure 7e,f have higher resolutions than Figure 7d; Figure 7c has higher precision and better continuity than Figure 7b, and Figure 7f has higher precision and better continuity than Figure 7e.  
Figure 8a shows a time slice extracted from the field 3D seismic data; Figure 8b,c show the same time slices of instantaneous amplitudes and principal instantaneous phases,  
Figure 6: (**a**) Time-frequency instantaneous principal instantaneous phases of the 10 th trace in Figure 5a obtained by MSTFT; Time-frequency instantaneous amplitudes of the 10 th trace in Figure 5a obtained by: (**b**) MSTFT; (**c**) CSST; (**d**) PSST; (**e**) HSST. (**f**) Differences between Figure 6d,e; (**g**) Zoomed-in views of yellow rectangle in Figure 6c; (**h**) Zoomed-in views of yellow rectangle in Figure 6d; (**i**) Zoomed-in views of yellow rectangle in Figure 6e.  
respectively, obtained by Hilbert transform [22]. As shown in Figure 8b,c, the main channels are represented but with low resolution.  
Figure 9a, b,c show the same time slices of 30 Hz time-frequency instantaneous amplitudes obtained by MSTFT, PSST, and HSST, respectively; Figure 9d,e,f show the same time slices of 50 Hz time-frequency instantaneous amplitudes obtained by MSTFT, PSST, and HSST, respectively; Figure 9g shows the differences between Figure 9b,c, and Figure 9h shows the differences between Figure 9e,f, which are false structures caused by  
Figure 7: The 30 Hz time-frequency instantaneous amplitudes of crossline 1 in Figure 5a obtained by (**a**) MSTFT; (**b**) PSST; (**c**) HSST. The 50 Hz time-frequency instantaneous amplitudes of crossline 1 in Figure 5a obtained by (**d**) MSTFT; (**e**) PSST; (**f**) HSST. (**g**) Differences between Figure 7b,c; (**h**) Differences between Figure 7e,f.  
period-jumps of time-frequency principal instantaneous phases during PSST. Figure 9b,c have higher resolutions than Figure 9a, and Figure 9e,f have higher resolutions than Figure 9d; in addition, Figure 9c has higher precisions and better continuities than Figure 9b, and Figure 9f has higher precision and better continuity than Figure 9e.  
Figure 8: Time slices: (**a**) Amplitudes; (**b**) Instantaneous amplitudes; (**c**) Principal instantaneous phases.  
Figure 9: Time slices of 30 Hz time-frequency instantaneous amplitudes obtained by (**a**) MSTFT; (**b**) PSST; (**c**) HSST; Time slices of 50 Hz time-frequency instantaneous amplitudes obtained by (**d**) MSTFT; (**e**) PSST; (**f**) HSST; (**g**) Differences between Figure 9b,c; (**h**) Differences between Figure 9e,f.  
Thus, HSST has higher precisions and resolutions than MSTFT, CSST and PSST, and it achieves desirable high-precision and high-resolution SST results.