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Game-Theoretic Joint Power Allocation and Beamforming for Cognitive MIMO Systems with Finite Feedback

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Abstract

In the paper, we consider the imperfect channel state information (CSI) in practical cognitive MIMO systems. We first analyze the feedback of quantified CSI from the primary user (PU) and propose a joint power allocation and beamforming algorithm via game theory. Compared with the game under the condition of perfect CSI, new utility function and cost function are constructed under imperfect CSI. We analyze the error introduced from the uniformly quantified CSI and obtain new constraints. Besides, existence of the Nash equilibrium in case of both perfect CSI and imperfect CSI are proven. We propose a new iterative algorithm to reach the Nash equilibrium (NE). Simulation results show that the proposed algorithm can converge quickly.

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Acknowledgments

This research was supported by the National Natural Science Foundation of China (61162008, 61172055), the Guangxi Natural Science Foundation (2013GXNSFGA019004), the Key Project of Chinese Ministry of Education (212131), the Foundation of Department of Education of Guangxi Province (201202ZD045), the Open Research Fund of Guangxi Key Lab of Wireless Wideband Communication & Signal Processing (12103, 12106), the Director Fund of Key Laboratory of Cognitive Radio and Information Processing (Guilin University of Electronic Technology), Ministry of Education, China (2013ZR02).

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Authors and Affiliations

  1. Key Laboratory of Cognitive Radio and Information Processing, Guilin University of Electronic Technology, Guilin, 541004, China

    Feng Zhao, Chen Wang & Hongbin Chen

  2. College of Information Science and Technology, Beijing Normal University, Beijing, 100875, China

    Rongfang Bie

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  1. Feng Zhao
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  2. Chen Wang
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  3. Hongbin Chen
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  4. Rongfang Bie
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Correspondence to Hongbin Chen.

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Zhao, F., Wang, C., Chen, H. et al. Game-Theoretic Joint Power Allocation and Beamforming for Cognitive MIMO Systems with Finite Feedback. Mobile Netw Appl 19, 512–521 (2014). https://doi.org/10.1007/s11036-014-0500-4

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  • DOI: https://doi.org/10.1007/s11036-014-0500-4

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