## 2 Channel Capacity in the Presence of \(\eta\)-\(\mu\) Fading and CCI
### Analysis of Parameters' Influence on the Channel Capacity  
In order to analyze the impact of fading and CCI parameters on the channel capacity, we plotted two figures of normalized CC versus the output ratio of the signal's and CCI's powers, denoted as \(w\) = \(\Omega\)/s. We assumed that the correlation between the input branches in the SC receiver can be neglected. For graphical presentation, we used the programs Mathematica and Origin. In Figure 1, the normalized CC is presented for different values of fading and CCI parameters \(\mu_{1}\) and \(\mu_{2}\). In this case, we supposed equal values of parameters \(\eta_{1}\) and \(\eta_{2}\): \(\eta_{1}=\eta_{2}=0.2\), and that there were two input branches going into the SC receiver. In this figure, it is possible to notice that changing \(\mu_{1}\) parameter had an insignificant impact on the CC, while an increase in the \(\mu_{2}\) parameter led to a decrease in the CC, indicating worse system performance. \begin{table}
\begin{tabular}{c c c c} \hline
**Variables** & \(w\) = \(-10\)**dB** & \(w\) = 0 dB** & \(w\) = 10 dB \\ \hline \(\mu_{1}\) = 1, \(\mu_{2}\) = 1 & 15 & 17 & 17 \\ \hline \(\mu_{1}\) = 1.5, \(\mu_{2}\) = 1 & 16 & 17 & 18 \\ \hline \(\mu_{1}\) = 2, \(\mu_{2}\) = 1 & 18 & 19 & 20 \\ \hline \(\mu_{1}\) = 2.5, \(\mu_{2}\) = 1 & 19 & 19 & 20 \\ \hline \(\mu_{1}\) = 3, \(\mu_{2}\) = 1 & 19 & 21 & 22 \\ \hline \(\mu_{1}\) = 4, \(\mu_{2}\) = 1 & 22 & 22 & 24 \\ \hline \(\mu_{1}\) = 1, \(\mu_{2}\) = 1.5 & 15 & 17 & 18 \\ \hline \(\mu_{1}\) = 1, \(\mu_{2}\) = 2 & 17 & 18 & 19 \\ \hline \(\mu_{1}\) = 1, \(\mu_{2}\) = 2.5 & 18 & 19 & 20 \\ \hline \(\mu_{1}\) = 1, \(\mu_{2}\) = 3 & 19 & 20 & 21 \\ \hline \(\mu_{1}\) = 1, \(\mu_{2}\) = 4 & 21 & 22 & 22 \\ \hline \end{tabular}
\end{table} 
Table 1: The number of additions in the summation of Expression (11) to achieve precision at the fifth significant digit for variable parameters \(\mu_{1}\) and \(\mu_{2}\). \begin{table}
\begin{tabular}{c c c c} \hline
**Variables** & \(w\) = \(-10\)**dB** & \(w\) = 0 dB** & \(w\) = 10 dB \\ \hline \(\eta_{1}\) = 0.2, \(\eta_{2}\) = 0.2, \(L\) = 2 & 15 & 17 & 17 \\ \hline \(\eta_{1}\) = 0.4, \(\eta_{2}\) = 0.2, \(L\) = 2 & 14 & 14 & 15 \\ \hline \(\eta_{1}\) = 0.6, \(\eta_{2}\) = 0.2, \(On the other hand, in Figure 2, the normalized CC is shown for some values of the fading and CCI parameters \(\eta_{1}\) and \(\eta_{2}\), while keeping the parameters \(\mu_{1}\) and \(\mu_{2}\) constant: \(\mu_{1}=\mu_{2}=1\). In Figure 2, it is visible that changes in the values of the parameters \(\eta_{1}\) and \(\eta_{2}\) had no major influence on the CC. In contrast, with an increase in the number of input branches (denoted by \(L\)), the CC increased, indicating an improvement of the system's performance. Figure 1: Normalized channel capacity versus the output SIR for different values of fading and CCI parameters \(\mu_{1}\) and \(\mu_{2}\). Figure 2: Normalized channel capacity for different values of fading and CCI parameters \(\eta_{1}\) and \(\eta_{2}\) and number of branches \(L\). Additionally, we provide two tables to illustrate the number of additions required to achieve the desired precision in the summation of Formula (11) for channel capacity, specifically, with accuracy up to the fifth decimal place. Table 1 demonstrates how this number of additions changed when varying the parameters \(\mu_{1}\) and \(\mu_{2}\). As \(\mu_{1}\) and \(\mu_{2}\) increased, the number of elements to be added also increased, indicating that the series converged more slowly for all values of the SIR \(w\). Table 2 illustrates the variations in the number of additions required when the parameters \(\eta_{1}\) and \(\eta_{2}\), as well as the number of input branches \(L\), were altered. When the parameter \(\eta_{1}\) increased, there was a decrease in the number of elements that needed to be added, indicating a faster convergence of the series. When the parameter \(\eta_{2}\) increased, the number of elements to be added exhibited different behaviors for different values of SIR \(w\).