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Resource Allocation in OFDM Based Wireless Relay Networks ...

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4.5 Simulations<br />

algorithm converges <strong>in</strong> 20 iterations, which are four times more than that of FP.<br />

Orthogonal transmission<br />

Under orthogonal transmission, we compare four different algorithms.<br />

The proposed jo<strong>in</strong>t power allocation and sub-carrier pair<strong>in</strong>g solution.<br />

1) JPSC:<br />

2) Pow:<br />

An algorithm where optimum power allocation is obta<strong>in</strong>ed without consider<strong>in</strong>g<br />

sub-carrier pair<strong>in</strong>g. 3) EPSC: A solution where the sub-carriers are paired accord<strong>in</strong>g<br />

to the proposed algorithm under uniform power distribution such that the available<br />

power at each node is equally divided among all the sub-carriers. 4) EP: In this case,<br />

without consider<strong>in</strong>g sub-carrier pair<strong>in</strong>g, each node equally distribute the available<br />

power to the K sub-carriers. The throughput performance of four different methods<br />

versus SNR where the relays transmit <strong>in</strong> preassigned time slots is shown <strong>in</strong> Fig.<br />

4.4. We have set P = Q n = 10, ∀n. We observe that JPSC yields the best<br />

performance over all other algorithms.<br />

Further, the optimized power allocation<br />

solution (Pow) out performs the uniform power allocation solutions. Optimiz<strong>in</strong>g only<br />

the sub-carrier pair<strong>in</strong>g also provides performance ga<strong>in</strong> <strong>in</strong> EPSC over the EP solution<br />

which validate the idea of performance achievement from sub-carrier match<strong>in</strong>g over<br />

two hops. F<strong>in</strong>ally, as expected, we observe that the system throughput decreases<br />

while <strong>in</strong>creas<strong>in</strong>g the number of relay nodes which is due to the lower TDMA factor<br />

( 1 ) for higher N.<br />

N+1<br />

Next we exam<strong>in</strong>e the performance of the end-to-end rate versus the SNR under<br />

the relay selection scenario.<br />

The results for different algorithms are shown <strong>in</strong><br />

Fig. 4.5, where the parameters are same as that of <strong>in</strong> Fig. 1. Similar to the<br />

previous example, JPSC yields the best performance among different methods and<br />

the proposed suboptimal methods (Pow, EPSC) also outperform the trivial solution<br />

(EP). Compar<strong>in</strong>g the results with Fig.<br />

4.4, all the schemes exhibit performance<br />

ga<strong>in</strong>. Further, unlike the previous example, <strong>in</strong>creas<strong>in</strong>g the number of relay nodes<br />

improves the performance. This is consistent with the results <strong>in</strong> [56].<br />

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