The infeasible SIR region is not a convex set

@article{Stanczak2005TheIS,
  title={The infeasible SIR region is not a convex set},
  author={Slawomir Stanczak and Holger Boche},
  journal={Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.},
  year={2005},
  pages={695-699}
}
This paper deals with the geometry of a feasible SIR region, which is defined as a set of all signal-to-interference ratios that can be supported in a power-controlled wireless network when no link scheduling is involved. It was conjectured that the complement of the feasible SIR region, a so-called infeasible SIR region, is in general a convex set under a total power constraint. The conjecture was supported by some partial results and the fact that the infeasible SIR region is a convex set in… CONTINUE READING
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