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D2D Utility Maximization in the Cellular System: Non Cooperative Game Theoretic Approach

  • Oh, Changyoon (Dept. of Information & Communications Engineering, Inha Technical College)
  • Received : 2019.06.12
  • Accepted : 2019.07.19
  • Published : 2019.07.31

Abstract

We investigate the D2D utility maximization in the cellular system. We focus on the non cooperative game theoretic approach to maximize the individual utility. Cellular system's perspective, interference from the D2D links must be limited to protect the cellular users. To accommodate this interference issue, utility function is first defined to control the individual D2D user's transmit power. More specifically, utility function includes the pricing which limits the individual D2D user's transmit power. Then, non cooperative power game is formulated to maximize the individual utility. Distributed algorithm is proposed to maximize the individual utility, while limiting the interference. Convergence of the proposed distributed algorithm is verified through computer simulation. Also the effect of pricing factor to SIR and interference is provided to show the performance of the proposed distributed algorithm.

Keywords

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Fig. 1. System Model

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Fig. 2. Payoff Function

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Fig. 3. Optimum Transmit Power For Different Payoff Function

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Fig. 4. Proposed Pricing Algorithm

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Fig. 5. Convergence of Proposed Pricing Algorithm

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Fig. 6 Impact Of Pricing Factor: SIR Perspective

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Fig. 7 Impact of Pricing Factor: Interference Perspective

Table 1. Interference Level For Different Pricing Factor

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