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Resource Allocation in OFDM Based Wireless Relay Networks ...

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3.7 Summary<br />

1.8<br />

1.6<br />

1.4<br />

JntOpt<br />

SubOpt<br />

SolWOP M=10<br />

M=2<br />

1.2<br />

bits/s/Hz<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0 2 4 6 8 10<br />

SNR (dB)<br />

Figure 3.6: Throughput versus SNR under anti-symmetric channels for M = 2<br />

and M = 10, respectively.<br />

throughput of the system subject to the power and the sub-carrier constra<strong>in</strong>ts.<br />

Due to exclusive sub-carrier allocation constra<strong>in</strong>ts of the <strong>OFDM</strong>A system and the<br />

one-to-one MAP to BCP tone match<strong>in</strong>g policy, the formulated problem was a mixed<br />

<strong>in</strong>teger programm<strong>in</strong>g problem. The Lagrangian theory was exploited to efficiently<br />

solve the problem. Further, a suboptimal algorithm was designed to reduce<br />

the computational complexity. The low complexity algorithm follows a stepwise<br />

approach such that only one parameter is optimized <strong>in</strong> each step. The computational<br />

complexities of different algorithms are analysed. Numerical results demonstrated<br />

that the proposed algorithms significantly outperform other candidates.<br />

60

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