Abstract—We consider the problem of relay-assisted transmission for cellular networks. In the considered system, a source node together with n relay nodes are selected in a proportionally fair (PF) manner to transmit to the base station (BS), which uses the maximal ratio combining (MRC) to combine the signals received from the source node in the first half slot and the n relay nodes in the second half slot for successful reception. The proposed algorithm incorporates the PF criterion and cooperative diversity, and is called proportionally fair cooperation (PFC). Compared with the proportional fair scheduling (PFS) algorithm, PFC provides improved efficiency and fairness. The ordinary differential equation (ODE) analysis used to study PFS cannot be used for PFC, otherwise one has to solve a large number of nonlinear and interrelated ODE equations which is time-prohibited. In this paper, we present a mathematical framework for the performance of PFC. The cornerstone of our framework ...
Erwu Liu, Qinqing Zhang, Kin K. Leung