A Mathematical Perspective of Self-Optimizing Wireless Networks

We present a mathematical framework for quantitative investigations of self-optimizing wireless networks (SON) with focus on the 3GPP long-term evaluation (LTE) system. Basic target functions, such as the signal-to-noise ratio distribution, the number of satisfied users, or energy efficiency are derived as a figure of merit, including the impact of adaptation of downlink transmit power adaptation, antenna tilt, and the handover parameter. The framework is exemplified by basic investigations on load balancing.