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Resource Allocation in OFDM Based Wireless Relay Networks ...

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5.5 Simulation Results<br />

150<br />

OPT−SOL<br />

(a)<br />

Lifetime (S)<br />

100<br />

50<br />

end−to−end rate (bits/s/Hz)<br />

0<br />

0 50 100 150 200 250 300<br />

iteration no.<br />

(b)<br />

300<br />

200<br />

100<br />

HOP1<br />

HOP5<br />

R−Req<br />

0<br />

0 50 100 150 200 250 300<br />

iteration no.<br />

Figure 5.4: Lifetime convergence<br />

5.5 Simulation Results<br />

In this section, we present simulation results to evaluate the performance of our<br />

proposed algorithm. We consider a network with 10 relay nodes such that there<br />

are 5 virtual sub-hops. We assume that all the transmitt<strong>in</strong>g nodes, i.e., source and<br />

relay nodes, have same <strong>in</strong>itial energy and each node can provide equal amount of<br />

maximum power. We consider an <strong>OFDM</strong> system with K = 32 sub-carriers. Further<br />

we assume σn,a 2 = σn,d 2 , ∀ n. The SNR is def<strong>in</strong>ed as the ratio between the transmitted<br />

signal power and the additive noise power. We compare the performance of proposed<br />

algorithm (OPT-SOL) with the equal power allocation solution (EP-SOL), where<br />

the available power on each node is evenly distributed among the K sub-carriers.<br />

Fig. 5.4 shows the convergence of the proposed algorithm at SNR=30 dB. The<br />

<strong>in</strong>itial energy of each node is taken as E AF<br />

n<br />

= E DF<br />

n<br />

= 50 and the maximum power per<br />

transmission is taken as P n = Q n = 2. The m<strong>in</strong>imum end-to-end rate requirement<br />

(R-Req) over complete <strong>OFDM</strong> block is 64 bits/s/Hz. Obviously the system with<br />

EP-SOL has lifetime equal to 25 seconds. Fig. 5.4 (a) shows that lifetime t converges<br />

92

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