Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
Error control systems for digital communication and storage
Error control systems for digital communication and storage
Wireless Communications: Principles and Practice
Wireless Communications: Principles and Practice
On the scalability and capacity of wireless networks with omnidirectional antennas
Proceedings of the 3rd international symposium on Information processing in sensor networks
Fundamentals of wireless communication
Fundamentals of wireless communication
Interference and outage in clustered wireless ad hoc networks
IEEE Transactions on Information Theory
Hierarchical Cooperation Achieves Optimal Capacity Scaling in Ad Hoc Networks
IEEE Transactions on Information Theory
Interference in Large Wireless Networks
Foundations and Trends® in Networking
A simple upper bound on random access transport capacity
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
Random access transport capacity
IEEE Transactions on Wireless Communications
An overview of the transmission capacity of wireless networks
IEEE Transactions on Communications
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This paper addresses the following question: how reliable is it to use the unbounded path-loss model G(d) = d-α, where α is the path-loss exponent, to model the decay of transmitted signal power in wireless networks? G(d) is a good approximation for the path-loss in wireless communications for large values of d but is not valid for small values of d due to the singularity at 0. This model is often used along with a random uniform node distribution, even though in a group of uniformly distributed nodes some may be arbitrarily close to one another. The unbounded path-loss model is compared to a more realistic bounded path-loss model, and it is shown that the effect of the singularity on the total network interference level is significant and cannot be disregarded when nodes are uniformly distributed. A phase transition phenomenon occurring in the interference behavior is analyzed in detail. Several performance metrics are also examined by using the computed interference distributions. In particular, the effects of the singularity at 0 on bit error rate, packet success probability and wireless channel capacity are analyzed.