Abstract
In this paper, the problem of power control using a game theoretic approach based on sigmoid cost function is studied for device-to-device (D2D) communications underlying cellular networks. A non-cooperative game, where each D2D transmitter and a cellular user select their own transmit power level independently, is analyzed to minimize their user-serving cost function and achieve a target signal to interference-plus-noise-ratio (SINR) requirement. It is proved analytically that the Nash equilibrium point of the game exists and it is unique under certain constraints. Numerical results verify the analysis and demonstrate the effectiveness of the proposed game with variant system conditions, such as path loss exponents, target SINR, interference caused by the cellular user, pricing coefficients, and sigmoid control parameter.
Highlights
Device-to-Device (D2D) communication has been increasing in recent years, which represents an add-on communication paradigm to the modern 5G wireless cellular networks [1]
We assume that the cellular user does not change its transmit power, and we proved through extensive simulations that the existence of Nash equilibrium of the power control game is depend on other system parameters, such as the target signal to interference-plus-noise-ratio (SINR), distance, sigmoid, and pricing coefficient parameters
A non-cooperative power control game has been proposed for the existence of a D2D network with cellular users, and the Nash equilibrium is derived
Summary
Device-to-Device (D2D) communication has been increasing in recent years, which represents an add-on communication paradigm to the modern 5G wireless cellular networks [1]. D2D communications reduce the traffic seen by the Base Station (BS), and increase the spectral efficiency, energy efficiency, and system capacity [2,3,4,5]. The quality of service (QoS) in D2D communication is necessary to guarantee high reliability in data transmission. The reduction of aggressive interference and guarantee of reliable transmission have emerged as the key issues in D2D networks. To address such issues, appropriate power control algorithms are needed in both D2D and cellular user devices. A power control algorithm is necessary for energy efficiency and to increase the battery life of devices [7]
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