End-to-end performance of transmission systems with relays over rayleigh-fading channels

Abstract

End-to-end performance of two-hops wireless communication systems with nonregenerative relays over flat Rayleigh-fading channels is presented. This is accomplished by deriving and applying some new closed-form expressions for the statistics of the harmonic mean of two independent exponential variates. It is shown that the presented results can either be exact or tight lower bounds on the performance of these systems depending on the choice of the relay gain. More specifically, average bit-error rate expressions for binary differential phase-shift keying, as well as outage probability formulas for noise limited systems are derived. Finally, comparisons between regenerative and nonregenerative systems are presented. Numerical results show that the former systems clearly outperform the latter ones for low average signal-to-noise-ratio (SNR). They also show that the two systems have similar performance at high average SNR.Index Terms-Bit-error rate (BER), collaborative/cooperative diversity, harmonic mean, outage probability, Rayleigh fading, transmission with relays.

Two‐way relay networks with wireless power transfer: design and performance analysis

“…Substituting (11) into (4), we obtain a tight high SNR approximation for the end-to-end SNR at S i as [10,18] …”

Wireless Transmissions with Combined Gain Relays over Fading Channels

“…The ability of relay R to generate the appropriate gain, depending on the fading conditions in both hops, leads to an end-to-end SNR, which using (4) with (6) and (7) is formulated as where yi is the instantaneous SNR of the ith hop, following the exponential PDF defined as Note that, as mentioned in Section 1, the performance analysis of dual-hop systems with relay given by (6) has been extensively studied in the literature [I], 131, [4], [5], [7]. Thus, in the following, only the case of g = g2 will be further studied.…”

“…Looking through the recent up-to-date open technical literature, the performance of dual-hop wireless communication systems are studied in [I], [4], [5], [6], [7]. Hasna and Alouini have presented a useful and semi-analytical framework for the evaluation of the end-to-end outage probability of multihop wireless systems with non-regenerative channel state information (CS1)-assisted relays over Nakagami-m fading channels [I].…”

“…Hasna and Alouini have presented a useful and semi-analytical framework for the evaluation of the end-to-end outage probability of multihop wireless systems with non-regenerative channel state information (CS1)-assisted relays over Nakagami-m fading channels [I]. Moreover, the same authors have studied the outage and the error performance of dual-hop systems with regenerative and non-regenerative CSI-assisted relays over Rayleigh [4] and Nakagami-m [5] fading channels. The analysis in [I], [4], and [5] is based on an upper bound for the end-to-end signal-to-noise ratio (SNR) which leads to lower bounds for the system's outage and average error probability.…”

“…Moreover, the same authors have studied the outage and the error performance of dual-hop systems with regenerative and non-regenerative CSI-assisted relays over Rayleigh [4] and Nakagami-m [5] fading channels. The analysis in [I], [4], and [5] is based on an upper bound for the end-to-end signal-to-noise ratio (SNR) which leads to lower bounds for the system's outage and average error probability. This bound corresponds to an ideal relay capable of inverting the channel in the previous hop (regardless of the fading state of that hop) without limiting the output power.…”