# Log-Likelihood Ratio-based Relay Selection Algorithm in Wireless Network

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5 BER Recent Advances in Electrical Engineering and Electronic Devices BER for LLR-MRC BER for LLR-SC BER for LLR-GSC BER for SNR-MRC BER for SNR-GSC BER for SNR-SC Fig.4. Comparison between the performance of relay selection algorithm based on LLR and relay selection algorithm based on SNR in AF mode. Fig.5. The absolute of perfect and estimated channel from source to first relay GSC system combines L/2 relays and this is enhances the performance. This is also the reason that the LLR-MRC is the best performance over all systems since it combines all the relays. All the channels between the source and the relays, between the relays and the destination and between the source and destination are estimated using least square algorithm. We present only one channel as an example. The absolute of perfect and estimated channel between the source and the first relay is shown in Fig.5. The figure shows that at low SNR, the noise is high and dominates the performance. Therefore there is a gap between the perfect and estimated channel. But as SNR increases, the estimated channel converges with the true one. Fig.6 shows Mean Square Error (MSE) between perfect and estimated channels. As SNR increases, the MSE decreases and the performance gets better. Fig.7 and Fig.8 express a comparison between the BER performance of LLR-based GSC and LLR-based SC with the MRC in both perfect and estimated channels. Fig.7 is plotted for DF mode and Fig.8 is plotted for AF mode. The figures show that the BER of the three for perfect channel outperforms the BER for estimated channel at the beginning. This is because of the channel estimation error that affects the BER. Therefore at low SNR values, the error is high so there is a gap between performance with perfect channel and performance with estimated channel. But as SNR increases, the estimated channel converges with the true one and the performance gets better. 6. CONCLUSION In this paper, the performance of relay selection based on loglikelihood ratio has been investigated through using GSC and SC schemes and their performance has been compared with the traditional MRC scheme. Therefore LLR-based relay selection algorithm has better performance than the Fig.6.The Mean Square Error (MSE) between perfect and estimated channels. conventional SNR-based relay selection algorithm. As the number of operating relays increases, the performance improves. Therefore, MRC has the best performance followed by LLR-based GSC followed by LLR-based SC. The results have been shown that a reduction in complexity, interference and power consumption is achieved when using LLR-based GSC and LLR-based SC at the expense of slight performance degradation compared to MRC. Channel estimation has been evaluated using least square algorithm and its performance has been measured in terms of men square error (MSE). The results of using channel estimation showed that due to strong noise at low SNR values, there was error and so the estimated channel doesn t converge with the perfect channel but as the SNR increases, the two channels finally converge. Therefore the performance gets better and the MSE between the estimated and true channel decreases. ISBN:

6 BER BER Recent Advances in Electrical Engineering and Electronic Devices BER for LLR-based MRC BER for LLR-based MRC Estimate BER for LLR-based SC BER for LLR-based GSC BER for LLR-based GSC Estimate BER for LLR-based SC Estimate BER for LLR-based MRC BER for LLR-based MRC Estimate BER for LLR-based SC BER for LLR-based SC Estimate BER for LLR-based GSC BER for LLR-based GSC Estimate Fig.7.Comparison between the performance of the three schemes based on LLR between perfect and estimated channel in DF mode Fig.8.Comparison between the performance of the three schemes based on LLR between perfect and estimated channel in AF mode. REFERENCES [1] A. Bletsas, A. khisti, D. P. Reed, and A. Lippman, " A simple Cooperative diversity method based on network path selection," IEEE Journal on Selected Areas in Communications, vol. 24, pp , March [2] Adam, H.; Bettstetter, C.; Senouci, S.M., "Adaptive relay selection in cooperative wireless networks," Personal, Indoor and Mobile Radio Communications, PIMRC IEEE 19th International Symposium on, vol., no., pp.1,5, Sept [3] Kyu-Sung Hwang; Young-chai Ko; Alouini, M.-S., "Low Complexity Cooperative Communication with Switched Relay Selection and Adaptive Modulation," Vehicular Technology Conference, VTC Spring IEEE 69th, vol., no., pp.1, 5, April [4] A. Eksim, M. E. Celebi, " Comparison of Cooperative Path Selection Techniques, " IEEE 15th Signal Processing and Communications Applications, SIU 2007, pp.1-4, June [5] L. Pan; H. C. Cheng, and J. F. An, "ML-based selection relay with transmission power constraint," 12th International Conference on ITS Telecommunications (ITST), 2012,pp , Nov [6] Theodore S. Rappaport, "Wireless Communications: Principles and Practice," 2nd Edition, Prentice Hall, pp , Dec. 31, [7] K. J. Ray Liu, A. K. Sadek, W. Su, and A. Kwasinski, "Cooperative Communications and Networking," pp , Cambridge University Press, ISBN:

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