power control and scheduling for low snr region in the uplink of two cell networks

In this paper we investigate the sub-channel assignment and power control to maximize the total sum rate in the uplink of two-cell network. it is assumed that there are some sub-channels in each cell which should be allocated among some users. also, each user is subjected to a power constraint. the underlying problem is a nonconvex mixed integer non-linear optimization problem which does not have a trivial solution. to solve the problem, having fixed the consumed power of each user, and assuming low co-channel interference region, the sub-channel allocation problem is reformulated into a more mathematically tractable problem which is shown it can be tackled through the so-called hungarian algorithm. then, the consumed power of each user is reformulated as a quadratic fractional problem which can be numerically derived. numerical results demonstrate the superiority of the proposed method in low snr region as compared to existing works addressed in the literature.