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IJCA Template - International Journal of Computer Applications - IJCA

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BER<br />

BER<br />

BER<br />

BER<br />

<strong>International</strong> <strong>Journal</strong> <strong>of</strong> <strong>Computer</strong> <strong>Applications</strong> (0975 – 8887)<br />

Volume 7– No.7, October 2010<br />

In Fig.11, we present a comparison between our simulation results<br />

for (1533, 495) product code and results published in [12] for<br />

convolutional turbo code <strong>of</strong> rate 1/3 using 16 states. We can<br />

observe that product code have worse performance at low SNR<br />

compared to convolutional code, whereas at SNR> 4.3 dB, the<br />

product code are better.<br />

10 -1<br />

10 -2<br />

10 0 SNR<br />

10 -1 SNR (dB)<br />

(4545,2025) Lucas<br />

(4545,2025) 20iter<br />

10 -3<br />

10 -2<br />

10 -3<br />

10 -4<br />

10 -5<br />

iteration-1<br />

iteration-2<br />

iteration-4<br />

iteration-8<br />

iteration-16<br />

iteration-32<br />

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2<br />

10 -4<br />

10 -5<br />

Fig. 9 : Performance <strong>of</strong> iterative decoding <strong>of</strong> the (1533, 495)<br />

product code on AWGN channel<br />

10 0 SNR<br />

10 -6<br />

1 1.5 2 2.5<br />

Fig. 7 : Performance <strong>of</strong> iterative decoding <strong>of</strong> the PCB(4545,<br />

2025). The BER <strong>of</strong> the Lucas et al.[3] algorithm is given as<br />

reference.<br />

10 -1<br />

10 -2<br />

10 -3<br />

10 0 SNR (dB)<br />

PCB(17633,8595) R=0.48<br />

Shannon Capatity Limit R=0.48<br />

10 -4<br />

10 -1<br />

10 -2<br />

10 -5<br />

(1253, 495)-iter-8<br />

(4545, 2025)-iter-8<br />

(5329, 2025)-iter-8<br />

10 -6<br />

1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3<br />

10 -3<br />

10 -4<br />

Fig. 10 : Performance <strong>of</strong> iterative decoding <strong>of</strong> the<br />

PC(5329,2025),PCB(4545,2025) and PCB(1253,495) codes<br />

10 -5<br />

10 -6<br />

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2<br />

Fig. 8 : Performance <strong>of</strong> the (17633,8595) PCB code compared<br />

to Shannon capacity limit<br />

Fig. 11: Performance <strong>of</strong> iterative decoding <strong>of</strong> the (1533, 495)<br />

product code on Rayleigh fading channel<br />

17

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