254 research outputs found
High-SIR Transmission Capacity of Wireless Networks with General Fading and Node Distribution
In many wireless systems, interference is the main performance-limiting
factor, and is primarily dictated by the locations of concurrent transmitters.
In many earlier works, the locations of the transmitters is often modeled as a
Poisson point process for analytical tractability. While analytically
convenient, the PPP only accurately models networks whose nodes are placed
independently and use ALOHA as the channel access protocol, which preserves the
independence. Correlations between transmitter locations in non-Poisson
networks, which model intelligent access protocols, makes the outage analysis
extremely difficult. In this paper, we take an alternative approach and focus
on an asymptotic regime where the density of interferers goes to 0. We
prove for general node distributions and fading statistics that the success
probability \p \sim 1-\gamma \eta^{\kappa} for , and
provide values of and for a number of important special
cases. We show that is lower bounded by 1 and upper bounded by a value
that depends on the path loss exponent and the fading. This new analytical
framework is then used to characterize the transmission capacity of a very
general class of networks, defined as the maximum spatial density of active
links given an outage constraint.Comment: Submitted to IEEE Trans. Info Theory special issu
Interference and Outage in Clustered Wireless Ad Hoc Networks
In the analysis of large random wireless networks, the underlying node
distribution is almost ubiquitously assumed to be the homogeneous Poisson point
process. In this paper, the node locations are assumed to form a Poisson
clustered process on the plane. We derive the distributional properties of the
interference and provide upper and lower bounds for its CCDF. We consider the
probability of successful transmission in an interference limited channel when
fading is modeled as Rayleigh. We provide a numerically integrable expression
for the outage probability and closed-form upper and lower bounds.We show that
when the transmitter-receiver distance is large, the success probability is
greater than that of a Poisson arrangement. These results characterize the
performance of the system under geographical or MAC-induced clustering. We
obtain the maximum intensity of transmitting nodes for a given outage
constraint, i.e., the transmission capacity (of this spatial arrangement) and
show that it is equal to that of a Poisson arrangement of nodes. For the
analysis, techniques from stochastic geometry are used, in particular the
probability generating functional of Poisson cluster processes, the Palm
characterization of Poisson cluster processes and the Campbell-Mecke theorem.Comment: Submitted to IEEE Transactions on Information Theor
Analysis of a Cooperative Strategy for a Large Decentralized Wireless Network
This paper investigates the benefits of cooperation and proposes a relay
activation strategy for a large wireless network with multiple transmitters. In
this framework, some nodes cooperate with a nearby node that acts as a relay,
using the decode-and-forward protocol, and others use direct transmission. The
network is modeled as an independently marked Poisson point process and the
source nodes may choose their relays from the set of inactive nodes. Although
cooperation can potentially lead to significant improvements in the performance
of a communication pair, relaying causes additional interference in the
network, increasing the average noise that other nodes see. We investigate how
source nodes should balance cooperation vs. interference to obtain reliable
transmissions, and for this purpose we study and optimize a relay activation
strategy with respect to the outage probability. Surprisingly, in the high
reliability regime, the optimized strategy consists on the activation of all
the relays or none at all, depending on network parameters. We provide a simple
closed-form expression that indicates when the relays should be active, and we
introduce closed form expressions that quantify the performance gains of this
scheme with respect to a network that only uses direct transmission.Comment: Updated version. To appear in IEEE Transactions on Networkin
Spatial networks with wireless applications
Many networks have nodes located in physical space, with links more common
between closely spaced pairs of nodes. For example, the nodes could be wireless
devices and links communication channels in a wireless mesh network. We
describe recent work involving such networks, considering effects due to the
geometry (convex,non-convex, and fractal), node distribution,
distance-dependent link probability, mobility, directivity and interference.Comment: Review article- an amended version with a new title from the origina
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