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Resource Allocation in OFDM Based Wireless Relay Networks ...

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4.3 Cooperative Non-Orthogonal Transmission<br />

Figure 4.1: System model for dual hop parallel relay network.<br />

that the signal received over the k-th sub-carrier will be forwarded to DN over the<br />

j-th sub-carrier.<br />

4.3 Cooperative Non-Orthogonal Transmission<br />

In this section, we assume that <strong>in</strong> the first time slot all the relay nodes receive data<br />

from the SN over all the sub-carriers such that each relay occupy the same copy<br />

of source data. In the second time slot, all the relays simultaneously transmit the<br />

<strong>in</strong>formation to the dest<strong>in</strong>ation node.<br />

Denote the channel coefficient between the n-th RS and DN on the j-th<br />

sub-carrier as g n,j . Denote w n,j as the complex beamform<strong>in</strong>g weight applied at<br />

the n-th RS over the j-th sub-carrier which is to be designed later. The signal<br />

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