Time variant power control in cellular networks

We study the transmission power control in a cellular network where users' mobility results in a time varying gain matrix. A framework for evaluating the channel quality is specified, and an asymptotic representation of the link gain evolution in time is obtained. Then, a time variant distributed constrained power control (TVPC) which copes with user mobility is derived. The algorithm is compared to a classical distributed constrained power control (DCPC), as well as to a constant-received power control and constant-transmitted power. The comparison reveals that the classical DCPC exhibits an outage probability close to one, unless some counter-measures are taken. The TVPC algorithm however, copes well with users' mobility and provides a close to optimal scale up factor for the signal to interference ratio (SIR) target.