The design of a homotopy-based 1-D seismic FIR f − x wavefield extrapolation filters

Abstract

This paper proposes a design of accurate non-causal complex-valued seismic FIR wavefield extrapolation digital filters using the homotopy based approach. The FIR filter design problem is solved using the scalar homotopy continuation method since the system of equations used to design the filters is overdetermined. Appropriate wavenumber responses were obtained for such an application but at the expense of a longer running design time compared to other existing methods (used to design FIR wavefield extrapolation digital filters) such as the WLSQ and the L1-norm methods. This design running time, however, resulted in better practical filters for this application when compared to that obtained using the WLSQ method and is of comparable result compared with the L1-norm method.