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Resource Allocation in OFDM Based Wireless Relay Networks ...

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2.5 Simulation Results<br />

Rate (bits/s/Hz)<br />

4<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.5<br />

Dual Solution (D(ν,λ)/K)<br />

JntSol<br />

SubOpt<br />

JSP−(with match<strong>in</strong>g)<br />

EP−ECarr<br />

EP−RndCarr<br />

1<br />

0.5<br />

0<br />

0 5 10 15 20<br />

SNR (dB)<br />

Figure 2.5: Throughput versus SNR for M = 10 and N = 5.<br />

almost constant, which shows the robustness of the proposed sub-optimal algorithm.<br />

Moreover, the JntSol also performs much better than JSP-(with match<strong>in</strong>g) due to<br />

the same reasons.<br />

To make the comparison complete, we show the throughput performance versus<br />

the number of relays <strong>in</strong> Fig. 2.7. The number of users is taken as M = 6 and SNR<br />

is set as 10 dB. The key observation is that the gap between JntSol and JSP-(with<br />

match<strong>in</strong>g) <strong>in</strong>creases when the number of relay becomes large. This is due to the fact<br />

that <strong>in</strong> JSP-(with match<strong>in</strong>g) a user can use at most one RS so the difference from<br />

the proposed JntSol becomes large. Other observations are similar to those <strong>in</strong> Fig.<br />

2.7.<br />

It is then of <strong>in</strong>terest to check the performance of the proposed method when<br />

simultaneously vary<strong>in</strong>g the number of both users and relays. The curves for N =<br />

1, 2, 3, 4 relays versus M are shown <strong>in</strong> Fig. 2.8 for SNR = 10 dB. We numerically<br />

draw the conclusion that <strong>in</strong> order to <strong>in</strong>crease the data throughput, both the number<br />

of the users and the number of relays should be <strong>in</strong>creased simultaneously. It is<br />

39

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