## 6 Conclusions  
In this paper, we are concerned with the outage performance of coded cooperative schemes with relay selection deploying HIR and SIR strategies in multiple EH relays. Both schemes are proposed to address the issue of error-propagation due to erroneous decoding at the relays. For the CC-HIR-RS scheme, we derived the optimal power-splitting ratio that leads to the capacity maximization of the relaying channel. Exact closed-form expressions for the outage probability performance of the CC-HIR-RS with constant and optimal power-spitting ratios were derived. Concerning the proposed CC-SIR-RS scheme, we derived the SNR of the equivalent end-to-end relaying channel through the proposed modeling of the LLRs at the output of the relay soft encoder. Accordingly, a relay selection scheme was proposed by the maximization of the resulting SNRs at different end-to-end relaying channels. The proposed SIR-based relay selection criterion can be considered as a composite criterion as the SNR of each equivalent one-hop channel incorporates the forwarded errors from the corresponding relay and reflects the goodness of the whole relaying channel properties. In addition, we proposed a fuzzy logic-based power-splitting scheme in order to choose an appropriate power-splitting ratio leading to a quasi-optimal SNR in each end-to-end relaying channel. A closed-form expression for the CC-SIR-RS with constant power-splitting ratio was derived. The performance evaluation results show the closeness of the proposed numerical analysis to the experimental results, showing that the CC-HIR-RS scheme performs slightly better than the CC-SIR-RS scheme, even at low power-splitting ratios, as at low source-relay distances, which is due to the improved diversity capacity; however, the SIR strategy gets better at medium and high power-splitting ratios and source-relay distances.  
The contribution of [PERSON] was to propose the main ideas and carry out the performance evaluations by theoretical analysis and simulations: [PERSON] worked as the advisor to discuss and advise the main ideas and performance evaluations. [PERSON] proposed the idea of using fuzzy logic approach for power splitting. [PERSON] reviewed the manuscript and provided valuable suggestions. [PERSON] applied the Q-Q plot on the LLR distribution and reviewed and approved the mathematical developments. All authors have read and agreed the published version of the manuscript.  
Figure 9: Numerical and simulated outage probability results of the CC-HIR-RS and CC-SIR-RS schemes when varying \(d_{SR_{r}}\) in the interval \([0.1,0.9]\), four relays, \(E_{b}/N_{0}=10\) dB, and \(R=0.5\,\text{bit/s/Hz}\).  
**Funding:** This work was funded by the Deanship of Scientific Research at Jouf University under grant No. (DSR-2021-02-0368).  
**Institutional Review Board Statement:** Not applicable.  
**Informed Consent Statement:** Not applicable.  
**Data Availability Statement:** Not applicable.  
**Acknowledgments:** The authors extend their appreciation to the Deanship of Scientific Research at Jouf University for funding this work through research grant No. (DSR-2021-02-0368).  
**Conflicts of Interest:** The authors declare that there were no disclosed possible conflict of interest relevant to the research.