A Jain's Index Perspective on α-Fairness Resource Allocation over Slow Fading Channels

In this letter, by focusing on α-fairness resource allocation in single channel TDMA system with slow Rayleigh fading, we study the impacts of α on the system efficiency and Jain's index which is widely used as a fairness measure. Also, we prove that increasing α results in higher efficiency but lower Jain's index and reveal the role of α in controlling the tradeoff between efficiency and fairness. Furthermore, an algorithm is proposed to find the optimal α under a system efficiency constraint or a Jain's index constraint with fast convergence and low complexity.