Optimal Power Control in CDMA Networks with Constraints on Outage Probability

This paper proposes a new scheme that couples power control with a minimum outage probability multiuser detector. The resultant iterative algorithm is conceptually simple and finds the minimum sum power of all users with a set of outage probability constraints. Bounds on the outage probability expression are found that extend a previous result that did not include receiver noise. These bounds are used to create a sub-optimal scheme coupling power control and a MMSE multiuser detector. This new problem becomes a variant of an existing problem where outage probability constraints are first mapped to average SIR threshold constraints. Using a recent result that transforms complex SIR expressions into a compact and decoupled form, a non-iterative and computationally inexpensive power control algorithm is developed for large systems of users. Simulation results are presented showing the closeness of the optimal and mapped schemes, speed of convergence and performance comparisons with other standard receivers.