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Fig. 13 Maximum throughput gain of the PFA_SPF algorithm.

Fig. 12 Average maximum throughput gain of the PFA_SPF algorithm.

The maximum throughput gain is up to 130 % and is even more significant.

Then, by solving the objective function, the optimal power allocation and maximum throughput gain can be obtained.

SmartCell also shows a maximum throughput gain of 4.2x over RaPid system in the matrix multiplication implementations.

It shows that the two-phase TWRN protocol can achieve a maximum throughput gain of one half over the three-phase TWRN.

Fig. 4 Average and maximum throughput gains of PFA_SPF algorithm for tandem nine-node network.

Note that these maximum throughput gains are computed as follows: text{max} frac{text{throughput}^{802.11ac+}_{k} - text{throughput}^{802.11ac text{SUS})}_{k}}{text{throughput}^{802.11ac text{SUS})}_{k}} (18) Figure 8 Throughput according to the number of users.

The throughput gain in [5] is defined as the maximum throughput increase after the introduction of D2D, shown as follows: R_{n,m}^{text{Gain}} = R_{n,m}^{max} - R_{n}^{max } (22).

Hence, the maximum achievable throughput gain using our HFD-MAC was about 93.19% compared with HD communication.

As a result, it achieves the maximum downlink (system) throughput gain of 100%69%9%) and 168% (97%) over 802.11ac and SUS, respectively.