The system comprises {HEAD ~ a plurality} of magnetic sensors, each of which is oriented in a known direction and generates a set of {TAIL ~ signals} as a function of the static magnetic field strength and direction due to each of the plurality of magnets 
The system comprises { HEAD ~ a plurality } of magnetic sensors , each of which is oriented in a known direction and generates a set of { TAIL ~ signals } as a function of the static magnetic field strength and direction due to each of the plurality of magnets
OTH OTH OTH HEAD HEAD HEAD HEAD HEAD HEAD OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH TAIL TAIL TAIL TAIL TAIL OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH