Second-Order Adaptive Synchrosqueezing ${S}$ Transform and Its Application in Seismic Ground Roll Attenuation

Abstract

The time-frequency (TF) analysis always plays a major role in signal processing. In this letter, we propose a novel TF analysis method called the second-order adaptive synchrosqueezing S transform (ASST2) and apply it on seismic ground roll attenuation. ASST2 is a data-driven method so that it performs a highly sharp representation with a desirable resolution by the nature of the signal itself. Moreover, ASST2 is invertible that allows a reasonable reconstruction. By applying ASST2, the instantaneous features of ground rolls can be recognized exactly in the TF map and the desired signal can be recovered after suppressing the noise. The synthetic example proves the superiority of ASST2 in characterizing nonstationary signals. The application on field data also illustrates that the proposed ASST2 can attenuate ground rolls effectively and preserves most reflections.