End-to-end average BER in multihop wireless networks over fading channels

Authors:
Eduardo Morgado;Inmaculada Mora-Jiménez;Juan J. Vinagre;Javier Ramos;Antonio J. Caamaño
Affiliations:
Signal Theory and Communications Department, Rey Juan Carlos University of Madrid, Fuenlabrada, Spain;Signal Theory and Communications Department, Rey Juan Carlos University of Madrid, Fuenlabrada, Spain;Signal Theory and Communications Department, Rey Juan Carlos University of Madrid, Fuenlabrada, Spain;Signal Theory and Communications Department, Rey Juan Carlos University of Madrid, Fuenlabrada, Spain;Signal Theory and Communications Department, Rey Juan Carlos University of Madrid, Fuenlabrada, Spain
Venue:
IEEE Transactions on Wireless Communications
Year:
2010

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Abstract

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.