Twice Game Beamforming Algorithm Based on Game Theory

Wu Zhou; Zhao Chun-hui

doi:10.3724/SP.J.1146.2006.01981

Volume 30 Issue 7

Jan. 2011

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Article Navigation > Journal of Electronics & Information Technology > 2008 > 30(7): 1656-1660

Wu Zhou, Zhao Chun-hui . Twice Game Beamforming Algorithm Based on Game Theory[J]. Journal of Electronics & Information Technology, 2008, 30(7): 1656-1660. doi: 10.3724/SP.J.1146.2006.01981

Citation:

Wu Zhou, Zhao Chun-hui . Twice Game Beamforming Algorithm Based on Game Theory[J]. Journal of Electronics & Information Technology, 2008, 30(7): 1656-1660. doi: 10.3724/SP.J.1146.2006.01981

Wu Zhou, Zhao Chun-hui . Twice Game Beamforming Algorithm Based on Game Theory[J]. Journal of Electronics & Information Technology, 2008, 30(7): 1656-1660. doi: 10.3724/SP.J.1146.2006.01981

Citation:

Wu Zhou, Zhao Chun-hui . Twice Game Beamforming Algorithm Based on Game Theory[J]. Journal of Electronics & Information Technology, 2008, 30(7): 1656-1660. doi: 10.3724/SP.J.1146.2006.01981

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Twice Game Beamforming Algorithm Based on Game Theory

doi: 10.3724/SP.J.1146.2006.01981

Received Date: 2006-12-15
Rev Recd Date: 2007-06-25
Publish Date: 2008-07-19

Abstract

Abstract

There is mutual contradiction between direction estimation of users 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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References(1)

References

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