Notice
Spatial network calculus and performance guarantees in wireless networks
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Descriptif
In this talk, we introduce spatial regulation properties for stationary spatial point processes and develop the first steps of a calculus for this regulation, which can be seen as an extension to space of the classical network calculus. Specifically, two classes of regulations are defined: one includes ball regulation and shot-noise regulation, which are shown equivalent; the other one includes void regulation. These regulations are defined both in the strong and weak sense: the former requires the regulations to hold everywhere in space, whereas the latter is built upon Palm calculus and only requires the regulations to hold as observed by a jointly stationary point process.
Based on spatial network calculus, we derive performance guarantees in various wirless network models satisfying the regulation properties. We give universal bounds on the SINR for all links, which lead to link service curves based on information-theoretic achievability. They are combined with classical network calculus to provide end-to-end latency guarantees for all packets in wireless queuing networks. Such guarantees do not exist in networks that are not spatially regulated, e.g., Poisson-type networks.
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