Perron-root minimization for interference-coupled systems with adaptive receive strategies
IEEE Transactions on Communications
Computer Networks: The International Journal of Computer and Telecommunications Networking
Optimal self-adaptive QoS resource management in interference-affected multicast wireless networks
IEEE/ACM Transactions on Networking (TON)
| Hi-index | 754.84 |
The feasible quality-of-service (QoS) region is the set of all QoS vectors that can be provided to the users by means of power control, with interference treated as noise. In an interference-limited scenario, this set is determined by the Perron root of some QoS-dependent nonnegative matrix. In a previous work, we showed that if the signal-to-interference ratio (SIR) is a log-convex function of the QoS, then the Perron root is a log-convex function. This implies convexity of the feasible QoS region. In this correspondence, we prove that the log-convexity property is also necessary for the Perron root to be convex for any choice of the (path) gain matrix. Interestingly, a significantly less restrictive property is sufficient when the gain matrix is confined to be symmetric positive semidefinite