A method of mitigating vibration in a radar system on a moving platform includes obtaining received signals resulting from reflections of transmitted signals by one or more objects in a field of view of the radar system. The received signals are a three-dimensional data cube. The method also includes processing the received signals to obtain a first three-dimensional map and second three-dimensional map, estimating the vibration based on performing a first detection using the second three-dimensional map, and cancelling the vibration from the first three-dimensional map to obtain a corrected first three-dimensional map. A corrected second three-dimensional map is obtained by further processing the corrected first three-dimensional map; and a second detection is performed using the corrected second three-dimensional map.