A position detection system detects a position of an object by using a plurality of frames, each of the plurality of frames being divided into a plurality of subframes. The position detection system includes: a projector configured to project a plurality of gray code patterns having different gray code values in an order of ascending and then descending or descending and then ascending of the different gray code values, each of the plurality of gray code patterns corresponding to a corresponding one of the plurality of subframes, each of the different gray code values being a power of two; an imaging device configured to generate a captured image by, for each of the plurality of subframes, imaging the object on which the plurality of gray code patterns are projected; a controller configured to estimate the position of the object based on the captured image.