Game theory MiniMax filter design for indoor positioning and tracking system using visible light communications

This paper uses visible light communication (VLC) to perform indoor positioning and tracking. VLC utilizes the data transmitted by light emitting diodes (LEDs) which are used for illumination. MiniMax filter is proposed to perform state estimation. Design parameters of MiniMax filter are driven as the game equilibrium solution of zero sum game. Estimation performance of this filter is compared with the conventional state estimator Kalman filter. MATLAB simulator is used to explore the relative performance of both filters. Results show that MiniMax filter outperform Kalman filter in the existence adversary disturbance noise. While in the absence of adversary disturbance noise two filters have similar performance.