A method of acquiring and processing seismic data including: acquiring digitized seismic data associated with a plurality of moving receiver points using a plurality of seismic sensors; attenuating noise in the moving receiver point based digitized seismic data using digitized seismic data associated with a plurality of nearby receiver points; transforming noise attenuated moving receiver point based digitized seismic data into stationary receiver point based digitized seismic data; and recording noise attenuated and transformed digitized seismic data associated with stationary receiver points having an average spatial separation interval at least twice the average moving receiver point spatial separation interval. This method is particularly effective at attenuating coherent low frequency noise and correcting for the receiver motion effect in marine seismic data.