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Resource Allocation in OFDM Based Wireless Relay Networks ...

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3.7 Summary<br />

3<br />

2.8<br />

2.6<br />

JntOpt<br />

SubOpt<br />

SolWOP<br />

Static<br />

bits/s/Hz<br />

2.4<br />

2.2<br />

2<br />

1.8<br />

1.6<br />

2 4 6 8 10 12 14 16 18 20<br />

M<br />

Figure 3.5: Throughput versus the number of users at SNR= 10 dB.<br />

number of users.<br />

To get a more <strong>in</strong>sight <strong>in</strong>to the performance ga<strong>in</strong> achieved from tone match<strong>in</strong>g,<br />

<strong>in</strong> the next example we compare JntOpt and SubOpt with SolWOP under the case<br />

when |h m,1 | > |h m,2 | . . . > |h m,K |, |˜h m,1 | < |˜h m,2 | . . . < |˜h m,K |, |g m,1 | > |g m,2 | . . . ><br />

|g m,K |, |˜g m,1 | < |˜g m,2 | . . . < |˜g m,K |, ∀m. The throughput curves versus SNR for<br />

M = 2 and M = 10 are shown <strong>in</strong> Fig. 3.6. It can be seen that JntOpt and SubOpt<br />

yield good performance. However, SolWOP exhibits much worse performance as<br />

compared to that <strong>in</strong> Fig. 3.4 because the good channel <strong>in</strong> MAP is always paired<br />

with the bad channel <strong>in</strong> BCP when no pair<strong>in</strong>g strategy is adopted.<br />

3.7 Summary<br />

In this chapter, we developed power and sub-carrier allocation algorithms for<br />

multi-user bidirectional relay networks. The objective was to maximize the total<br />

59

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