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On the Modeling of Randomized Distributed Cooperation for Linear Multi-Hop Networks

A one-dimensional cooperative network is modeled stochastically, such that the nodes are randomly placed according to a Bernoulli process. A discrete time quasi-stationary Markov chain model is considered to characterize the multi-hop transmissions and its transition probability matrix has been derived. By the Perron-Frobenious theorem, the eigen-decomposition of the matrix gives useful information about the coverage of the network and Signal-to-Noise Ratio (SNR) margin that is required for obtaining a given quality of service or packet delivery ratio. An SNR penalty for the random placement of nodes, compared to regular placement, is quantified.

Provided by: Georgia Institute of Technology Topic: Mobility Date Added: May 2012 Format: PDF

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