The design of seismic migration complex-valued finite impulse response filters

This paper proposes a novel way to design seismic migration Finite Impulse Response (FIR) digital filters using the Newton minimization algorithm. The algorithm requires computing the inverse of the Jacobian matrix, which is nonsquare for the seismic migration filters problem. In this case, we suggest using the Moore-Penrose pseudo-inverse to obtain the inverse of the Jacobian matrix. The proposed design algorithm running time is about 8 times faster than the recently proposed L1-norm algorithm. Furthermore, the proposed method results in seismic migration filters that lead to practically stable seismic images.