Achieving energy efficient equilibrium in power diversity-enabled collision channels

Abstract

We consider the uplink case of a cellular system where a finite number of users communicate with a central receiver. Each user selects a desired throughput and seeks to fulfill it by accessing the channel following an aloha-like protocol. Then, the users participate in a non cooperative game wherein they adjust their transmit rate to attain their desired throughput. In order to enlarge the rate feasible region, we introduce a power diversity scheme coupled with a Signal to Interference plus Noise Ratio-based capture. We extend many known results found for single power case. For instance, we have shown existence of two Nash equilibria where one is strictly better for all the users. Next, we propose two distributed algorithms where we discuss the available information versus the convergence speed. Extensive simulations are provided to validate our results.