A Robust Stackelberg Game Based Uplink Power Control for Device-to-Device Communication with Channel Uncertainty and Outage Probability Constraints

Publisher:
SPRINGER
Publication Type:
Journal Article
Citation:
Wireless Personal Communications, 2016, 90, (2), pp. 551-573
Issue Date:
2016-09-01
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This paper studies the problem of robust uplink power control in OFDMA-based Device-to-device (D2D) cellular networks composed of cellular and D2D user equipments (UEs). Both cellular UEs and D2D UEs compete with each other to maximize their own utility considering imperfect channel state information (CSI). We formulate a robust Stackelberg game (RSG) based SINR maximization to model this hierarchical competition, where the cellular UEs and D2D UEs are considered to be leaders and followers, respectively. Then, a comprehensive investigation of the RSG is developed with considering various power constraints, various interference constraints and outage probability constraints under a channel uncertainty model. Moreover, we apply the Lagrange dual decomposition method to solve this problem, and an efficient iterative algorithm is proposed to achieve the robust Stackelberg equilibrium (RSE). Global efficiency of the RSE and its complexity are also analysed. Simulation results show that the proposed RSG solution with imperfect CSI can achieve better performance in terms of sum rate for cellular UEs and D2D pairs, sum transmission power, and outage probability by comparing with other existing Stackelberg game solutions.
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