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The authors consider a generalised multi-receiver radio network under a Quality-of-Service (QoS) constraint that involves generalised carrier-to-interference ratios. This paper includes as special cases many well-known schemes, such as those discussed by Yates (JSAC, 13(7):1341-1348, 1995). A simple feasibility condition for the QoS targets, and a power-vector that yields those targets are given in closed form for the case in which additive noise is negligible and the key functions are homogeneous of degree one.
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