I. INTRODUCTION
One of the main concerns for autonomous mobile robots is their ability to localize w.r.t. a fixed reference frame as they travel in an environment. In literature, the localization problem is related to the robot's position estimation in a mapped environment, problem also referred in literature as kidnapped robot problem ([1]), and to the maintenance of positions information over time. Since the localization problem is a sensor related estimation problem, we aim to solve it using only the information retrieved from a laser range finder, or LIght Detection And Ranging (LIDAR).