Abstract:
We investigate the performance of two multi-hop network topologies in which
multiple sources have independent information to be transmitted to a far off
common destination. Linear Network coding technique is used by relays to
transmit the combined information of multiple sources. The first topology
contains nodes that are placed in a regular pattern and divide this deterministic
topology in two categories of distributed and co-located. These topologies
are modeled with a quasi-stationary Markov chain. The relay nodes use
decode and forward (DF) mechanism at each hop. We find the transition
probability matrix of the Markov chain assuming that all the nodes have
same transmit power and the channel is Rayleigh fading. The second random
network topology has fixed number of nodes that are randomly placed
in a strip-shaped network. The outage probabilitiy of each node is found and
the state distribution at each hop is used to analyze the network coverage
for a given signal-to-noise ratio (SNR) margin. Theoretical results have been
included that match with the simulation results.
