ABSTRACT

Compressive sensing (CS) has been a field of active research during the last decade [6–8]. CS provides formal recovery conditions for signals that have been compressed via random sampling. One of the main assumptions made by CS techniques is that signals can be represented in terms of a sparse superposition of basis functions. Popular applications of CS in seismic exploration include the reconstruction of seismic signals and studies pertaining to acquisition design [23,24,29,30,35]. Other applications of CS methodologies to seismic exploration include seismic source separation in simultaneous source acquisition [32,37], compressed wavefield propagation [31], and sign-bit seismic imaging [46].