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Resource Allocation in OFDM Based Wireless Relay Networks ...

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3.2 System Model<br />

relay node distributes its power to all available <strong>OFDM</strong> sub-carriers <strong>in</strong><br />

BCP.<br />

– Sub-carrier assignment among different users such that the same<br />

sub-carrier should be assigned to the two term<strong>in</strong>als <strong>in</strong> a user-pair for<br />

a particular transmission phase.<br />

– The tone match<strong>in</strong>g at the relay node, where the signal received <strong>in</strong> MAP<br />

over one sub-carrier is re-transmitted on a different (or same) sub-carrier<br />

<strong>in</strong> BCP.<br />

• To reduce the complexity, we further propose a suboptimal method that<br />

sacrifices very little on the performance as demonstrated by the numerical<br />

examples.<br />

• A complexity comparison of the jo<strong>in</strong>t and the suboptimal methods is provided<br />

and the numerical examples show a better performance over the exist<strong>in</strong>g trivial<br />

methods.<br />

The rest of this chapter is organized as follows. In Section 3.2, we present the<br />

system model. The jo<strong>in</strong>t resource allocation problem is formulated <strong>in</strong> Section 3.3.<br />

In Section 3.4, we develop the dual decomposition method. The low complexity<br />

suboptimal algorithm is presented <strong>in</strong> Section 3.5. Simulation results are presented<br />

<strong>in</strong> Section 3.6 and conclusions are given <strong>in</strong> Section 3.7.<br />

3.2 System Model<br />

We consider a two-way multi-user relay network that consists of M pre-assigned<br />

pairs of MUs and one fixed RS, all equipped with only one antenna that cannot<br />

transmit and receive simultaneously, as shown <strong>in</strong> Fig. 3.3. Further, we assume that<br />

a direct communication l<strong>in</strong>k is miss<strong>in</strong>g between two users and all the communication<br />

is carried out through RS which operates <strong>in</strong> AF mode. In MAP, all MUs transmit<br />

<strong>in</strong>formation to RS simultaneously via non-overlapp<strong>in</strong>g carriers. In BCP, the RS<br />

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