Abstract—This work proposes a non-cooperative joint modulation, rate, and power control game-theoretic approach for the uplink of a single cell CDMA system. A generalized approach towards adaptive modulation is introduced, by fitting different efficiency functions of several modulations by means of the Gompertz sigmoid functions. The existence of a Nash equilibrium as well as the best response strategies for our game are then derived. An iterative algorithm to select the best power and rate values for the desired modulation is presented, reaching the equilibrium in a distributed manner. Each user maximizes its own utility satisfying minimum quality-of-service (QoS) requirements. Performance analysis is finally carried out in comparison with conventional joint rate and power control approach, also based on game theory.

Index Terms—Adaptive modulation, power control, rate control, non-cooperative games, Nash Equilibrium

Cite: Francesco Benedetto and Domenico Izzo, "A Joint Modulation, Rate, and Power Control Game-Theoretic Approach for Uplink CDMA Communications," Journal of Communications, vol. 9, no. 3, pp. 271-278, 2014. Doi: 10.12720/jcm.9.3.271-278