A system and method for sensing the periodic position of one or more objects, such as rotating blades of a turbine. The system includes a passive eddy current sensing unit having one or more magnets and first and second cores around which first and second coils are wound, respectively, which together generate first and second magnetic fields. The sensing unit is positioned so that the object periodically passes through the first and second magnetic fields in succession, and the first and second coils consequently produce first and second output signals, respectively. Each coil is individually connected to a processing circuitry that receives each of the first and second output signals. The circuitry electronically combines the first and second output signals so that common mode signals thereof electronically subtract from each other to eliminate from output of the circuitry any electromagnetic interference noise present in the first and second output signals.