36,171 research outputs found
Improving Resource Efficiency with Partial Resource Muting for Future Wireless Networks
We propose novel resource allocation algorithms that have the objective of
finding a good tradeoff between resource reuse and interference avoidance in
wireless networks. To this end, we first study properties of functions that
relate the resource budget available to network elements to the optimal utility
and to the optimal resource efficiency obtained by solving max-min utility
optimization problems. From the asymptotic behavior of these functions, we
obtain a transition point that indicates whether a network is operating in an
efficient noise-limited regime or in an inefficient interference-limited regime
for a given resource budget. For networks operating in the inefficient regime,
we propose a novel partial resource muting scheme to improve the efficiency of
the resource utilization. The framework is very general. It can be applied not
only to the downlink of 4G networks, but also to 5G networks equipped with
flexible duplex mechanisms. Numerical results show significant performance
gains of the proposed scheme compared to the solution to the max-min utility
optimization problem with full frequency reuse.Comment: 8 pages, 9 figures, to appear in WiMob 201
Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature
We study minimal hypersurfaces in manifolds of non-negative Ricci curvature,
Euclidean volume growth and quadratic curvature decay at infinity. By
comparison with capped spherical cones, we identify a precise borderline for
the Ricci curvature decay. Above this value, no complete area-minimizing
hypersurfaces exist. Below this value, in contrast, we construct examples.Comment: 31 pages. Comments are welcome
Monotonicity results and bounds for the inverse hyperbolic sine
In this note, we present monotonicity results of a function involving to the
inverse hyperbolic sine. From these, we derive some inequalities for bounding
the inverse hyperbolic sine.Comment: 3 page
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