End-to-End Average BER in Multihop Wireless Networks over Fading Channels

This paper addresses the problem of finding an analytical expression for the end-to-end Average Bit Error Rate (ABER) in multihop Decode-and-Forward(DAF) routes within the context of wireless networks. We provide an analytical recursive expression for the most generic case of any number of hops and...

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Bibliographic Details
Published in:IEEE transactions on wireless communications 2010-08, Vol.9 (8), p.2478-2487
Main Authors: Morgado, E, Mora-Jimenez, I, Vinagre, J J, Ramos, J, Caamano, A J
Format: Article
Language:English
Subjects:
amplify and forward
Batteries
Bit error rate
Channels
decode and forward
Decoding
Digital relays
end-to-end performance
Error analysis
Exact solutions
Fading
fading channel
Interference
Mathematical analysis
multihop wireless networks
Operations research
Recursive
Relay
Routing (telecommunications)
Simulation
Spread spectrum communication
Studies
Testing
Wireless networks
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Summary:This paper addresses the problem of finding an analytical expression for the end-to-end Average Bit Error Rate (ABER) in multihop Decode-and-Forward(DAF) routes within the context of wireless networks. We provide an analytical recursive expression for the most generic case of any number of hops and any single-hop ABER for every hop in the route. Then, we solve the recursive relationship in two scenarios to obtain simple expressions for the end-to-end ABER, namely: (a) The simplest case, where all the relay channels have identical statistical behaviour; (b) The most general case, where every relay channel has a different statistical behaviour. Along with the theoretical proofs, we test our results against simulations. We then use the previous results to obtain closed analytical expressions for the end-to-end ABER considering DAF relays over Nakagami-m fading channels and with various modulation schemes. We compare these results with the corresponding expressions for Amplify-and-Forward (AAF) and, after corroborating the theoretical results with simulations, we conclude that DAF strategy is more advantageous than the AAF over Nakagami-m fading channels as both the number of relays and m-index increase.
ISSN:1536-1276
1558-2248
DOI:10.1109/TWC.2010.070710.090240