Power allocation in uplink LTE femtocells with zero forcing frequency domain equalizer

We investigate the optimal power allocation problem for a femtocell network where the utilized air interface is single carrier frequency division multiple access (SC-FDMA). To overcome the interference, the receivers are equipped by frequency domain equalizers designed based on the zero forcing criterion. We derive the optimal power allocation when we protect the data rate of macro users by imposing a temperature limit on the interference arising from femto users to the macro base station. This constraint confines the cross-tier interference. We show that the optimization problem is convex and solve it using dual decomposition technique to obtain the optimal power of each femto user.