Wave digital filters for the migration of seismic data

A closed form design method for migration wave digital filters (MWDF) is presented. Migration filters are 2-D fan shaped filters with a prescribed nonlinear phase in the passband. An analytical solution is presented which solves simultaneously the approximation problems for attenuation and phase. The attenuation is approximated in a maximally flat sense in pass- and stopband. The phase of the ideal migration filter is approximated in a way which is equivalent to the approximation of the wave equation by the McClellan transform. Efficient WDF structures, including a multiplier-free scheme, for the realization of MWDF are derived