Performance Analysis of Cooperative Multi-hop Strip Networks
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 PerronFrobenius, 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.
strip networks markov chains cooperative communications