RIS-Aided Short-Packet Communication with Imperfect CSI: Average Block Error Rate Analysis

In this research, we examine the average block error rate (BLER) of a short-packet communications (SPC) system with imperfect channel state information (CSI) that is supported by a reconfigurable intelligent surface (RIS). To be more precise, we derive the cumulative distribution function (CDF) and the probability density functions (PDF) of the end-to-end signal-to-interference-plus-noise ratio (SINR) taking into account the imperfect CSI from the RIS to the destination. Closed-form formulas for average BLER, throughput, goodput, latency, and dependability are provided. In a high transmit signal-to-noise ratio (SNR), we construct not only the closed-form formulae for the average approximate BLER of the user but also the average asymptotic BLER. Furthermore, numerical outcomes show that the generated closed-form equations agree with the outcomes of the simulations. The simulation results also show how the blocklength and number of RIS elements affect the BLER performance of the system.