Matrix analysis and applied linear algebra
Matrix analysis and applied linear algebra
Introduction to Probability Models, Ninth Edition
Introduction to Probability Models, Ninth Edition
Analysis of a simple recruiting method for cooperative routes and strip networks
IEEE Transactions on Wireless Communications
IEEE Transactions on Signal Processing
Energy-efficient broadcasting with cooperative transmissions in wireless sensor networks
IEEE Transactions on Wireless Communications
Cooperative diversity in wireless networks: Efficient protocols and outage behavior
IEEE Transactions on Information Theory
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A two-dimensional strip-shaped network is analyzed where groups of nodes perform cooperative transmission and propagate the message in a multi-hop manner along the length of the network. The transmission from one group of nodes to the next is modeled as a discrete-time Markov chain and the probability transition matrix of the chain is derived. By invoking the theory of Perron---Frobenius, the eigen-decomposition of the matrix provides insightful information about the coverage of the network and the probability of making finite successful hops. It has been shown that a specific signal-to-noise ratio margin is required for obtaining a desired hop distance for different network topologies and packet delivery ratio constraints.