## 5 Simulation Results  
In this section, the outage performance of the proposed coded cooperative schemes applying the HIR and SIR strategies and relay selection in multiple EH relay channels is analyzed and evaluated. The analytical results are based on the aforementioned analyses and confirmed using Monte Carlo simulations. The simulation results are evaluated by deploying the following parameters. The source node applies 4-states terminated recursive systematic convolutional code of rate \(R_{S}=1/2\) and generator polynomials \((1,5/7)\). The relays apply 4-states terminated non-recursive convolutional codes of rate \(R_{R}=1/2\) and generator polynomials \((5,7)\). The length of the information block is \(K=100\). The transmitted symbols from the source are BPSK symbols. We assume that the transmission links between any two nodes are quasi-static Rayleigh fading channels with scale parameter \(1/\sqrt{2}\). The noise variance \(\sigma_{n}^{2}\) is calculated according to the received SNR per information bit \(E_{b}/N_{0}\) at the destination node of the direct link, as if the source-destination link were available. Hence, \(P_{SD}/\sigma_{n}^{2}\) is substituted by \(2R_{S}E_{b}/N_{0}\). All distances involved  
among the relay set or subset will be selected to forward the message to the destination node. The path-loss exponent is \(\alpha=2.7\), which is usually used for an urban cellular network environment [18]. The EH conversion efficiency \(\
u\) is set to 0.8 for all EH relays. Figure 4 illustrates the exact analytical and simulated results of the outage probabilities versus SNR per information bit \(E_{b}/N_{0}\) at the destination node of the CC-HIR-RS-CPS (\(\rho_{r}=0.5\) for all relays) and CC-HIR-RS-OPS schemes for different numbers of relays. The threshold information rate \(R\) is set to 0.5 bit/s/Hz. We first observe that the numerical analyses agree very well with the Monte Carlo simulation results for the CC-HIR-RS-CPS as well as for the CC-HIR-RS-OPS schemes, confirming the validity of our analyses. As shown in Figure 4, the outage probability of the conventional DF relaying is better than that of the CC-HIR-RS-CPS and CC-HIR-RS-OPS schemes at very low SNRs, and from a certain SNR value the performance of the coded cooperative schemes becomes better. This is traceable to the coding gain induced by the coded cooperative strategy. In addition, the figure shows that the performances of the CC-HIR-CPS and CC-HIR-OPS schemes with a single relay are better than that of the direct communication, which validates the effectiveness of the coded cooperation with HIR strategy, be it by applying constant or optimized power-splitting ratios. The results also show that the outage probability decreases significantly when increasing the relay number, which confirms that the diversity order of the proposed coded cooperative scheme with HIR strategy grows when the number of relays increases. Moreover, it can be seen from Figure 4 that the outage probability of the CC-HIR-RS-OPS scheme is lower than that of the CC-HIR-RS-CPS scheme in the whole SNR region, which confirms the usefulness of the proposed power-splitting ratio optimization. Figure 5 depicts the approximated analytical and simulated outage probabilities versus SNR per information bit \(E_{b}/N_{0}\) at the destination node of the CC-SIR-RS-CPS (\(\rho_{r}=0.5\) for all relays) as well as the simulated outage probability results of the CC-SIR-RS-FLPS scheme for different number of relays and \(R=0.5\) bit/s/Hz. We note that the CC-SIR-RS scheme refers to the SIR strategy with RGL model as long as no confusion occurs. No analytical results on the performance of the CC-SIR-RS-FLPS is provided yet, as the statistical distribution on the fuzzy logic-basis power-splitting ratio is not available analytically.