## 5 Conclusions  
The 5G and B5G networks use high-frequency waves that can be easily blocked by physical objects and environmental factors, making it difficult for data transfer over long distances. To overcome this challenge, the IRS mechanism has been proposed as a solution for achieving reliable 5G and B5G communication. In this paper, the performance of an IRS-assisted MTC bidirectional system in terms of outage probability, BER, and the achievable rate is analyzed in FD mode. The outage performance of the IRS-assisted bidirectional communication system in FD mode has an SNR improvement of \(\approx\)6 dB compared to the IRS-assisted bidirectional communication system in HD mode. Additionally, the BER performance of the IRS-assisted bidirectional communication system in FD mode has an SNR improvement of \(\approx\)8 dB as the number of meta surface reflecting elements doubles in the IRS. Further, this study investigates the impact of using a discrete phase shifter on bidirectional communication systems with an IRS and evaluates the outage BER performance of the system. The study considers three different levels of the discrete phase shifter, namely the 1-bit shifter (0, \(\pi\)), 2-bit shifter (0, \(\pi\)/2, \(\pi\), \(3\pi\)/2), and for the 3-bit shifter (0, \(\pi\)/4, \(\pi\)/2, \(3\pi\)/4, \(\pi\), \(5\pi\)/4, \(3\pi\)/2, \(7\pi\)/4), and compares the system's error degradation with the ideal continuous phase shifter of IRS. The results indicate that the presence of residue degrades the system performance when using a 1-bit phase shifter while increasing the number of phase shifters to 2-bits and 3-bits and so on improves the system's performance compared to the 1-bit phase shifter. IRS located near the source node provides a better achievable  
Figure 12: Outage probability for IRS-assisted bidirectional FD-MTC system with continuous and discrete phase shifter. Figure 13: Achievable rate for IRS-assisted bidirectional FD-MTC system. rate than the halfway between the two source nodes of the bidirectional FD-MTC system. In future work, the analysis of the IRS-assisted bidirectional FD-MTC system can be carried out for spatial correlation and mutual coupling at IRS. Theoretical results in this manuscript can be extended to multiple source nodes with more than two antennas, with appropriate antenna selection technique and number of IRS at appropriate places. This is being carried out as future work. [PERSON] and [PERSON] were responsible for the conceptualization of the topic; article gathering and sorting were carried out by [PERSON], [PERSON], [PERSON], [PERSON], [PERSON] and A.L.I. ; manuscript writing and original drafting and formal analysis were carried out by [PERSON], [PERSON], [PERSON], [PERSON], [PERSON] and A.L.I. All authors have read and agreed to the published version of the manuscript. The work of [PERSON] was supported in part by the Nigerian Petroleum Technology Development Fund (PTDF) and in part by the German Academic Exchange Service (DAAD) through the Nigerian-German Postgraduate Program under grant 57473408. Not applicable. All data are available from the corresponding author with reasonable request. The authors declare no conflict of interest. The following abbreviations are used in this manuscript: