Performance analysis of repetition-based cooperative networks with partial statistical CSI at relays

This letter analyzes the performance of repetition-based cooperative diversity wireless networks using amplify and forward relaying, in which each relay has only statistical knowledge of the source-relay link. The network channels are modeled as independent, non-identical, Rayleigh distributed coefficients. The exact symbol error rate is derived using the moment generating function (MGF). We derive the probability density function and MGF of the total SNR. Then, the MGF is used to determine the symbol error rate (SER). The diversity order of the amplify-and-forward cooperation with partial statistical channel state information is also found via the asymptotic behavior of the average SER, and it is shown that the cooperative network achieves full diversity. Our analytical results are confirmed by simulations.