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Twice Game Beamforming Algorithm Based on Game Theory |
Wu Zhou; Zhao Chun-hui |
School of Information and Communication Engineering, Harbin Engineering University, Harbin l50001, China |
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Abstract There is mutual contradiction between direction estimation of user’s signal and power allocation among all users in the beamforming algorithm. A twice game beamforming algorithm based on game theory is proposed to deal with it. Beamforming game algorithm mathematics model is constructed. During the first game, direction of signal and power allocation are mapped the game theory as “player”, which are modeled as the problem of maximin function and obtain direction estimation first. Then during the second game, power allocations of different users are described as a multi-user game. Power updated algorithm is designed. The existence and uniqueness of the Nash equilibrium in the twice game beamforming algorithm based on game theory are proved by mathematics derivation. Finally in simulation the proposed algorithm is compared with conventional maximum SNR algorithm. The results show that the proposed algorithm is better than MaxSNR algorithm and the impact of different parameters on the proposed algorithm is discussed.
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Received: 15 December 2006
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