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In this paper, a simple and robust method for indoor self-localization is proposed. Infrared LEDs are used as landmarks. They are set at known positions and observed by a CCD camera on a mobile robot. As a consequence, self-localization is carried out. The acquisition of the position and orientation of the robot with two or more LEDs is formulated. The nonlinear least squares method is applied. Experiments with a constructed experimental system evaluate the proposed method. Error analysis is performed by simulations. The proposed method realizes a very simple indoor GPS using only several infrared LEDs and a CCD camera.