## 5 Numerical Results  
We evaluated the ECCs of the Co2P JDT network using the LQA and LLA CTP power expressions and the ECCs of the Co3P JDT network using the LLA CTP power expressions. For Co3P JDT, we use the LQA CTP power expression for \(P_{3}^{*}\) versus \(\bar{\gamma}_{3}\)[dB] along the settled points, i.e., Equation (38), to obtain the approximate CTP3 power along the settled points. Figure 5a-c show the ECCs of the Co2P JDT network as a function of \(\gamma_{2}\)[dB], with \(\bar{\gamma}_{1}\)[dB] as a parameter, when \(P_{S}\) = 2, 4, and 8 W, respectively. From Figure 5a-c, we see that the ECCs are constant when \(\bar{\gamma}_{2}\) is much smaller than \(\bar{\gamma}_{1}\) because the ECCs are mainly determined by \(\bar{\gamma}_{1}\). On the contrary, we see that the ECCs are mainly determined by \(\bar{\gamma}_{2}\) when \(\bar{\gamma}_{2}\) is much greater than \(\bar{\gamma}_{1}\). When \(\bar{\gamma}_{2}\)[dB] is at and around the balanced point, we can use Co2P JDT. For \(P_{S}\) = 2, 4, and 8 W and \(\bar{\gamma}_{1}\) = \(-\)5, 0, 5, 10, 15, and 20 dB, the approximate ECC curves using the LQA CTP power expression in Equation (16) have maximum and average percent errors of 0.0196% and 0.0017%, respectively, while the approximate ECC curves using the LLA CTP power expression in Equation (18) have maximum and average percent errors of 0.3818% and 0.0114%, respectively. From Figure 5a-c, we see that the Co2P JDT region becomes wider and the average percent error increases, as \(\bar{\gamma}_{1}\) increases. We also see that the Co2P JDT region becomes wider while the average percent error is almost steady, as \(P_{S}\) increases. Figure 6a-c show the ECCs of the Co3P JDT network as a function of \(\bar{\gamma}_{3}\)[dB], with \(\bar{\gamma}_{1}\)[dB] and \(\bar{\gamma}_{2}\)[dB] as parameters, over the regime of \(\bar{\gamma}_{3}\leq\bar{\gamma}_{2}\), when \(P_{S}\) = 2, 4, and 8 W, respectively. From Figure 6a, the approximate ECC curves using the LLA CTP power expression in Equation (24a) have maximum and average percent errors of 0.0194% and 0.0079%, respectively. From Figure 6a-c, we see that the Co3P JDT region becomes wider, although the average percent error is almost steady around 0.01%, as \(\bar{\gamma}_{1}\) and/or \(P_{S}\) increase. In conclusion, the approximated ECCs using the LLA and LQA CTP power expressions for Co2P JDT and the LLA CTP power expressions for Co3P JDT trace the optimum ECCs well with no noticeable difference. Figure 7a-c show the ECCs achieved by the Co3P JDT network, the Co2P JDT network by CTP1 and CTP2, and the non-JDT network by CTP1 as a function of the mean branch GNR difference in decibels, when \(\bar{\gamma}_{1}\) = 5 dB and \(P_{S}\) = 2, 4, and 8 W, respectively. Denoting the mean branch GNR difference in dB as \(\Delta\gamma\)[dB], \(\bar{\gamma}_{2}\)[dB] = \(\bar{\gamma}_{1}\)[dB]\(-\Delta\gamma\)[dB] and \(\bar{\gamma}_{3}\)[dB] = \(\bar{\gamma}_{2}\)[dB]\(-\Delta\gamma\)[dB] = \(\bar{\gamma}_{1}\)[dB]\(-2\Delta\gamma\)[dB]. From Figure 7a, for \(P_{S}\) = 2 W, the ECC of the Co3P JDT network is higher than the ECC of the Co2P JDT network over the Co3P JDT region, and the ECC of the Co2P JDT network is higher than the ECC of the non-JDT network over the Co2P JDT region. As expected, the difference between the ECC of the Co3P JDT network and the ECC of the Co2P JDT network is the largest at the balanced point of \(\bar{\gamma}_{1}=\bar{\gamma}_{2}=\bar{\gamma}_{3}\), that is, when the mean branch GNR difference in dB is zero. The difference in the ECC becomes smaller as \(\Delta\gamma\)[dB] increases. When \(P_{S}\) = 2 W and \(\bar{\gamma}_{1}\) = 5 dB at the balanced point of \(\bar{\gamma}_{1}=\bar{\gamma}_{2}=\bar{\gamma}_{3}\), the ECC of the Co3P JDT network is 3.1% higher than that of the Co2P JDT network and 12.4% higher than that of the non-JDT single-branch network. From the above results, we see that the CoMP JDT network can obtain the maximum diversity gain at the balanced point.