Performance Analysis of Switch-and-Stay Transmit Diversity with Feedback Errors

We analyze the performance of switch-and-stay transmit diversity systems in presence of an erroneous feedback link. First of all, the analysis is conducted for arbitrary fading distributions and a rather general class of performance functions. Assuming a certain feedback error probability P_e, we determine the distribution of the signal-to-noise ratio (SNR) at the receiver- side and we provide a generic expression for the optimum switching threshold, which turns out to be independent of P_e. Furthermore, it is shown that the performance degradation due to feedback errors is always a linear function of the feedback error rate. Finally, we consider a concrete system as an example and we demonstrate how our generic results can be used to easily investigate the performance of this system in terms of the average SNR, the system capacity as well as the average bit error rate.