One dimensional wavefield extrapolation filter design via L₁ error approximation

In this article, the effect of L₁ error approximation has been studied in the context of f - x finite impulse response (FIR) extrapolation filter. The idea is to obtain a sparse error between the ideal and approximated wavefield extrapolator. It is shown that L₁ error approximation approach not only offers a solution to the high passband error but also accommodates wavefields propagating with wider angles. The efficiency of the proposed approach has been shown by extrapolating the challenging SEG/EAGE salt velocity model via depth extrapolators designed by the L₁ error approximation.