ABSTRACT
Cellular Networks 130 4.2Basic Power Control Algorithms and Capacity Maximization 133
4.2.1 Iterative Water-Filling 133 4.2.2 Successive Bit Allocation 135
4.3 Game Theoretic Dynamic Resource Allocation 137 4.3.1 Transmit Power Minimization 137
4.3.1.1 Virtual Referee 138 4.3.1.2 Potential Game 139
4.3.2 Fairness 140 4.3.2.1 Proportional Fairness 140 4.3.2.2Max-Min Fairness 142 4.3.2.3 Nash Bargaining Solution 143
4.4 Case of Study: Energy Efficiency 144 4.4.1 System Model 145
This chapter provides an in-depth study of the problem of dynamic power control and subcarrier allocation in 4G cellular networks and beyond based on orthogonal frequency division multiple access (OFDMA) technology through a game theoretic perspective. The challenge of spectrum channel allocation and power control in relation with 4G and 5G main design components is discussed. The resource (power and subcarriers) allocation schemes based on game theory presented in the literature are discussed and classified according to their optimization objectives, including a novel scheme called PRISMAP. The PRISMAP allocation scheme is conceived to improve fairness and capacity while maintaining energy efficiency and minimizing no-transmission probability. We take this approach as in 5G networks it will be necessary to implement distributed power control schemes [1]. With the introduction of the preferred reuse concept and a new utility function, PRISMAP overcomes the limitations of other compared schemes. The mathematical approach is formal and a theorem to guarantee Nash equilibrium and some propositions (for PRISMAP) are demonstrated. The chapter ends with a section on future research directions.
