A digital micro-mirror device (DMD) format conversion system for outputting a stereoscopic encoded optical signal using a DMD and a color wheel is provided. The DMD format conversion system includes a 3D data formatter for receiving an input signal and a DMD data formatter for receiving an output signal having stereoscopic image information and control information from the 3D data formatter and for outputting a DMD output signal having stereoscopic image information and control information. A color wheel control signal and output digital micro-mirror device data are synchronized based on an output frame rate generated by the 3D data formatter independent of the original input frame rate.