On Performance of LoRa Fluid Antenna Systems

This paper advocates a fluid antenna system (FAS) assisting long-range communication (LoRa-FAS) for Internet-of-Things (IoT) applications. Our focus is on pilot sequence overhead and placement for FAS. Specifically, we consider embedding pilot sequences within symbols to reduce the equivalent symbol error rate (SER), leveraging the fact that the pilot sequences do not convey source information and correlation detection at the LoRa receiver needs not be performed across the entire symbol. We obtain closed-form approximations for the probability density function (PDF) and cumulative distribution function (CDF) of the FAS channel, assuming perfect channel state information (CSI). Moreover, the approximate SER, hence the bit error rate (BER), of the proposed LoRa-FAS is derived. Simulation results indicate that substantial SER gains can be achieved by FAS within the LoRa framework, even with a limited size of FAS. Furthermore, our analytical results align well with that of the Clarke's exact spatial correlation model. Finally, the correlation factor for the block correlation model should be selected as the proportion of the exact correlation matrix's eigenvalues greater than $1$.