A position and tracking system for radio-based localization in an operating room, includes a receiver, a mobile cart, a processor, and a memory coupled to the processor. The mobile cart includes a robotic arm and a transmitter in operable communication with the receiver. The memory has instructions stored thereon which, when executed by the processor, cause the system to receive, from the transmitter, a signal including a position of the mobile carts in a 3D space based on the signal communicated by the transmitter and determine a spatial pose of the mobile carts based on the received signal.