The Letter investigates the achievable performance in a TDMA system of an autonomous power control technique which relies only on a simple fixed-step feedback adjustment algorithm. Simulation results indicate that this simple power control technique can perform nearly as well as ideal signal-to-interference ratio (SIR) balancing/call removal, yielding a possible increase in spectrum efficiency of at least three times compared to a system without power control. The work is targeted towards understanding the traffic capacity and deployment implications to local exchange networks of wireless technology that could provide access to those networks.