Power control algorithms

This chapter presents algorithmic solutions to the power control problems as stated in the previous chapter. We primarily focus on utility-based power control algorithms with and without Q_oS support. First, we consider recursive gradient-based algorithms with a constant step size [160, 16]. Although much more powerful algorithms can be devised to solve the problem, such methods are of great interest in practice because of their simplicity. The significance of simple iterative algorithms that allow an efficient distributed implementation cannot be emphasized enough in the case of wireless networks where the judicious assessment of the complexity–performance trade-off is particularly important. Given the limited and costly nature of wireless resources, minimizing the control message overhead for each iteration step must be a high priority.