According to a preferred aspect of the instant invention, there is provided herein a system and method for improving the computational efficiency of the DMO transformation that has many uses in the seismic processing arts. More particularly, the instant inventor has conceived and invented a faster method of calculating a log-stretch DMO transformation that utilizes multiple independent time windows, each with its own starting and ending time. A particularly preferred usage of the improved DMO method is as an element of a multiple attenuation program such as SRME.