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The authors study the problem of communication reliability of wireless networks in a fading environment based on the outage probability formulation. The exact expression for the disconnect probability, the probability that a transmission by a node is not received correctly by any other node in the network, is obtained for one and two dimensional random networks. They obtain the end-to-end reliability of multi-hop transmission using the outage probability metric and develop algorithms for finding the most reliable route subject to power constraints as well as the minimum energy route subject to a reliability constraint. Finally, they study the tradeoff between outage probability and transmission power, with and without route diversity.
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