Cell load coupling with power control for LTE network planning

We consider the problem of optimization of sum cell load with the constraints of cell load coupling and power control in LTE network. Our system model characterizes the coupling relation between cell load and power, considering non-uniform traffic demand and interference between cells. Solving the problem involves optimization with fixed power, and optimization with power control. We prove the the convergence of fixed-point iteration, which is used in optimization with fixed power, and provide sufficient and necessary conditions for the feasibility of cell load coupling with power control. Numerical results illustrate that our proposed solutions are superior to the conventional power allocation schemes.