290 research outputs found
Interference and Throughput in Aloha-based Ad Hoc Networks with Isotropic Node Distribution
We study the interference and outage statistics in a slotted Aloha ad hoc
network, where the spatial distribution of nodes is non-stationary and
isotropic. In such a network, outage probability and local throughput depend on
both the particular location in the network and the shape of the spatial
distribution. We derive in closed-form certain distributional properties of the
interference that are important for analyzing wireless networks as a function
of the location and the spatial shape. Our results focus on path loss exponents
2 and 4, the former case not being analyzable before due to the stationarity
assumption of the spatial node distribution. We propose two metrics for
measuring local throughput in non-stationary networks and discuss how our
findings can be applied to both analysis and optimization.Comment: 5 pages, 3 figures. To appear in International Symposium on
Information Theory (ISIT) 201
Interference in Poisson Networks with Isotropically Distributed Nodes
Practical wireless networks are finite, and hence non-stationary with nodes
typically non-homo-geneously deployed over the area. This leads to a
location-dependent performance and to boundary effects which are both often
neglected in network modeling. In this work, interference in networks with
nodes distributed according to an isotropic but not necessarily stationary
Poisson point process (PPP) are studied. The resulting link performance is
precisely characterized as a function of (i) an arbitrary receiver location and
of (ii) an arbitrary isotropic shape of the spatial distribution. Closed-form
expressions for the first moment and the Laplace transform of the interference
are derived for the path loss exponents and , and simple
bounds are derived for other cases. The developed model is applied to practical
problems in network analysis: for instance, the accuracy loss due to neglecting
border effects is shown to be undesirably high within transition regions of
certain deployment scenarios. Using a throughput metric not relying on the
stationarity of the spatial node distribution, the spatial throughput locally
around a given node is characterized.Comment: This work was presented in part at ISIT 201
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