In order to simplify the multiplexing architecture and encoding method, a two-channels multiplexed imaging architecture was constructed with rotation encoding mirror, beamsplitter and optically imaging system. The subpixel accuracy shifts between superimposed images were proposed to automatically decide with features detection and registration. The system multiplexed matrics were built with the known shifts and the gradient projection for sparse reconstruction method was adopted to reconstruction the respctive scene based on six frames. The increase of field of view was verified with 2 times in the proposed realistic setting. Also, the proposed method can sucessfully disambiguate other scenes, which demonstrates its wide range of application. This method can effectively increase the field of view with the same focal plane array, and can be cost effective in developing wide field of view optically imaging system.