POSITION DETECTION SYSTEM, POSITION DETECTION METHOD, IMAGE GENERATION UNIT, AND IMAGE PROJECTION APPARATUS

A position detection system for detecting a position of a movable member includes a magnetic field generation unit to generate a magnetic field, a magnetic field detection unit, disposed on the movable member, to detect a magnetic flux density of the magnetic field effecting the magnetic field detection unit, and to output a detection voltage corresponding to the detected magnetic flux density, and circuitry to generate a corrected voltage based on the detection voltage, perform an analog-digital conversion to the corrected voltage to generate a digital value, set an offset value used for specifying a characteristic relationship of the corrected voltage and the digital value, calculate a displacement of the magnetic field detection unit relative to the magnetic field generation unit by applying the specified characteristic relationship to the digital value, and detect the position of the movable member based on the calculated displacement of the magnetic field detection unit.