This paper investigates the joint time and power allocation in a multi-cell wireless poweredcommunication network (WPCN) with successive interference cancellation (SIC). In the WPCN, the hybridaccess points (HAPs) broadcast wireless energy to all users and then the users utilize the harvestedenergy to transmit information simultaneously in a spectrum-sharing fashion. The max-min fairnessthroughput optimization and max-sum throughput optimization problems are formulated to analyze thesystem performance. However, both of the two optimization problems are nonconvex due to the complicatedco-channel interference and the coupled time and power variables. To deal with this challenge, efficient twostage approaches are proposed to transform them into more tractable ones. Specifically, for the max-minfairness throughput optimization problem, we first convert the power allocation problem into a geometricprogramming (GP) problem for given time allocation and then optimize the time allocation. For the maxsum throughput optimization problem, we first transform the power allocation problem into a signomialprogramming (SP) problem with fixed time allocation, which is further approximated as a GP one. Then thetime allocation is optimized. Simulation results validate the effectiveness of the two proposed approaches.In addition, it is shown that the ‘doubly near-far’ issue can be well addressed by the max-min fairnessthroughput optimization.
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