Game theory-based energy efficiency optimization in multi-user cognitive MIMO interference channel

This paper models the optimization problem of energy efficiency (EE) in multi-user cognitive multi-input-multi-output (MIMO) interference channel (IC) as a non-cooperative game, where both the per-secondary user (SU) power constraints and total interference threshold is taken into consideration. Although optimization problem of EE is non-convex and multi-objective with multi-constraint fractional problem, we reformulate it as multi-objective with multi-constraint non-fractional problem equivalently. Furthermore, we formulate distributed iterative EE Optimization algorithm (DIEEOA) in multi-user cognitive MIMO IC to obtain the Nash Equilibrium. Through simulation, we validate the effectiveness of the prosed algorithm and discuss the parameters' effect on the EE.