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Resource Allocation in OFDM Based Wireless Relay Networks ...

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5.1 Introduction<br />

Figure 5.2: L<strong>in</strong>ear multi-hop network<br />

Recently, the authors <strong>in</strong> [76]-[79] considered the resource allocation problem<br />

<strong>in</strong> l<strong>in</strong>ear multi-hop networks. The so-called l<strong>in</strong>ear relay network consists of one<br />

dimensional cha<strong>in</strong> of nodes <strong>in</strong>clud<strong>in</strong>g a source node, a dest<strong>in</strong>ation node, and several<br />

<strong>in</strong>termediate relay nodes, as shown <strong>in</strong> Fig.5.2. It can be viewed as an important<br />

special case of a sensor network where only a s<strong>in</strong>gle route is active. As a natural<br />

consequence of the multi-hop relay<strong>in</strong>g and the <strong>OFDM</strong> transmission, the allocation of<br />

per-hop resources is crucial <strong>in</strong> optimiz<strong>in</strong>g the end-to-end network performance. The<br />

authors <strong>in</strong> [76] considered the optimum power allocation problem <strong>in</strong> l<strong>in</strong>ear multi-hop<br />

networks where each relay<strong>in</strong>g node uses AF transmission mode, where DF mode<br />

of transmission was considered <strong>in</strong> [77]. The authors <strong>in</strong> [78] and [79] considered<br />

the per hop transmission time and the power allocation to maximize the system<br />

throughput and m<strong>in</strong>imize the end-to-end outage, respectively. However, all the<br />

works <strong>in</strong> [76]-to-[79] considered the optimization problem under the system-wide<br />

power constra<strong>in</strong>t. Such a power constra<strong>in</strong>t may not be a good choice to see the<br />

performance <strong>in</strong> practical systems where all the nodes are located distributively.<br />

In multi-hop relay networks, AF relays are generally not used because of the<br />

large noise enhancement. Hence, most literatures on resource allocation <strong>in</strong> multi-hop<br />

relay networks consider only the DF relays [78]. However, the use of DF relays<br />

requires energy consumption and time delay for decod<strong>in</strong>g and encod<strong>in</strong>g the message.<br />

We consider a new network model that consists of mixed AF-DF relay nodes. This<br />

new network structure halves the disadvantages of purely us<strong>in</strong>g AF or DF nodes.<br />

For the time be<strong>in</strong>g, we focus on the simplest alternat<strong>in</strong>g structure, that is, each DF<br />

relay node is preceded and followed by one AF relay node, as shown <strong>in</strong> Fig. 5.3.<br />

In this chapter, we consider the lifetime maximization <strong>in</strong> AF-DF alternat<strong>in</strong>g<br />

84

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