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 non-square 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 Li-norm algorithm. Furthermore, the proposed method results in seismic migration filters that lead to practically stable seismic images.