Abstract: Unlike traditional LTE-Advanced networks, cloud access network (C-RAN) transfers complex baseband data processing from the radio frequency heads (RRHs) to the baseband unit pool (BBU Pool) over the fronthaul link. However, due to the limited capacity of the fronthaul link, the overall throughput gain may not be significantly achieved. In this paper, we aim to maximize throughput by optimizing RRH selection. More precisely, this paper designs an optimization algorithm to select the active RRHs set under the fronthaul constraints to maximize the system capacity. In addition, this paper derives the asymptotically optimal closed-form s for the number of selected RRHs under low signal-to-noise ratio (SNR) and high SNR conditions. Simulation results show that the RRH selection scheme proposed in this paper can improve the throughput effectively under fronthaul constraint and any given number of RRHs.