Error Rate Analysis of M-ary Signaling for Reconfigurable Intelligent Surface

Abstract

The error rate of M-ary signaling schemes for reconfigurable intelligent surface (RIS) are analyzed in this paper. The potential for novel use cases and the demanding specifications of the upcoming RIS assisted $6^{th}$ generation (6G) wireless communication makes the cellular communication technology more advanced. In this paper, the RIS is working as a reflector that lies between transmitter (Tx) and receiver (Rx) with single antenna system. In this context, the error rate expressions for different signaling schemes are derived. The expressions are given in closed form which i s based on moment generating function (MGF) of Chi square distribution. The link between Tx and RIS reflector and, between RIS reflector and Receiver is assumed to be Rayleigh distribution. The results are presented for different modulation level and number of reflecting meta surface. The results are compared with existing upper bound error rate. The large number of reflecting meta surface show better error performance.