End-to-end outage probability of multihop transmission over lognormal shadowed channels

Abstract

End-to-end outage probability evaluation of multihop wireless communication systems over lognormal shadowed channels is presented. Closed-form expression for the end-to-end signal to noise ratio of systems equipped with non-regenerative relays is derived. It is shown that this expression is in a form that makes it suitable to be approximated by a lognormal variate. Consequently, closed-form expressions for outage probability of non-regenerative systems can be readily obtained and then compared to that of regenerative systems. Numerical examples show that regeneration is more crucial at low average SNR and for multihop systems with a large number of hops.