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Resource Allocation in OFDM Based Wireless Relay Networks ...

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3.1 Introduction<br />

• Broadcast Phase (BCP): The relay processes the <strong>in</strong>formation accord<strong>in</strong>g to the<br />

relay<strong>in</strong>g mode (AF or DF) and broadcasts the message <strong>in</strong> BCP.<br />

Conventionally, <strong>in</strong> <strong>OFDM</strong> based bidirectional communication, the signal received<br />

over a sub-carrier <strong>in</strong> MAP is re-transmitted at the same sub-carrier <strong>in</strong> BCP. Due to<br />

the <strong>in</strong>dependent nature of the channels <strong>in</strong> the two phases, a deep faded sub-carrier<br />

<strong>in</strong> MAP may have high SNR <strong>in</strong> BCP. Thus, us<strong>in</strong>g the same sub-carrier <strong>in</strong> MAP and<br />

BCP is clearly suboptimal and a better utilization of channel dynamics could be<br />

achieved with a careful tone-match<strong>in</strong>g strategy.<br />

The previous reported works [50]–[55] have shown the enhanced throughput<br />

results <strong>in</strong> <strong>OFDM</strong> systems by optimiz<strong>in</strong>g different units of resources separately.<br />

However, due to the nature of types of resources and the multi-user TWRN system<br />

model, the different resources are tightly coupled with each other. For example, a<br />

bad sub-carrier k <strong>in</strong> MAP for a pre-assigned user pair (U 1 , U 2 ) may be good for<br />

another user pair (U 3 , U 4 ) and a reverse could exist <strong>in</strong> BCP. Thus, the sub-carriers<br />

should not only be carefully matched <strong>in</strong> the two phases (MAP and BCP) but also<br />

be allocated adaptively for different users. Further, the distributed nature of the<br />

wireless systems prohibits us to impose a total power constra<strong>in</strong>t over all nodes.<br />

Hence, we assume that each node has a limited power supply, which makes our<br />

consideration closer to practical scenarios.<br />

Contributions<br />

The ma<strong>in</strong> contributions of this chapter are:<br />

• Our target is to maximize the end-to-end system transmission rate of the<br />

<strong>OFDM</strong>A based multi-user bidirectional relay network subject to <strong>in</strong>dividual<br />

power budget constra<strong>in</strong>t of each transmitt<strong>in</strong>g node. We present a new unified<br />

framework for jo<strong>in</strong>tly optimiz<strong>in</strong>g different types of resources, namely,<br />

– Power allocation at user and relay term<strong>in</strong>als such that each user allocates<br />

powers to a unique set of sub-carriers allocated to him <strong>in</strong> MAP and the<br />

46

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