Abstract
In this letter, we have derived more accurate average symbol error rate (ASER) for opportunistic amplify-and-forward (OAF) relay systems with for M-phase shift keying (M-PSK) over rayleigh fading channels. At first, the exact ASER is expressed without any approximation. In addition, we have derived the modified moment generating function (MGF) by extension of the probability density function (PDF) of the order statistic to the given relay’s selection probability for OAF relay system. Then, the ASER bound to be more accurate and another ASER form of previous researches are respectively derived by utilizing the modified MGF. Furthermore, the accuracy of derived ASER bound is analytically confirmed by comparison with each other. Simulation results are finally presented to validate the analysis.
References
Hasna M. O., Alouini M.-S. (2003) End-to-End performance of transmission systems with relays over Rayleigh-fading channels. IEEE Transactions on Wireless Communications 2(6): 1126–1131
Laneman J. N., Tse D. N. C., Wornell G. W. (2004) Cooperative diversity in wireless networks: efficient protocols and outage behavior. IEEE Transactions on Information Theory 50(12): 3062–3080
Anghel P. A., Kaveh M. (2004) Exact symbol error probability of a cooperative network in a Rayleigh-fading environment. IEEE Transactions on Wireless Communications 3(9): 1416–1421
Ikki S. S., Ahmed M. H. (2007) Performance analysis of cooperative diversity wireless networks over Nakagami-m fading channel. IEEE Communications Letters 11(4): 334–336
Nguyen, H. X., Nguyen, H. H., & Le-Ngoc, T. (2010). Diversity analysis of relay selection schemes for two-way wireless relay networks. Wireless Personal Communications. doi:10.1007/s11277-009-9911-0.
Vu H. N., Kong H. Y. (2011) Performance analysis for the Amplify-and-Forward Two-Way cooperative relaying networks. IEICE Transactions on Communications 2011 E94-B(9): 2663–2666
Bletsas A., Khisti A., Reed D. P., Lippman A. (2006) A simple cooperative diversity method based on network path selection. IEEE Journal on Selected Areas in Communications 24(3): 659–672
Zhao Y., Adve R., Lim T. J. (2006) Symbol error rate of selection Amplify-and-Forward relay systems. IEEE Communications Letters 10(11): 757–759
Maham B., Hjorungnes A. (2009) Performance analysis of Amplify-and-Forward opportunistic relaying in Rician fading. IEEE Signal Processing Letters 16(8): 643–646
Ikki, S. S., & Ahmed, M. H. (2009). On the performance of Amplify-and-Forward cooperative diversity with the Nth Best-Relay selection scheme. In Proceedings of IEEE ICC, June 2009, pp. 1–6.
Chen H., Liu J., Zheng L., Zhai C., Zhou Y. (2010) Approximate SEP analysis for DF cooperative networks with opportunistic relaying. IEEE Signal Processing Letters 17(9): 779–782
Yeoh P. L., Elkashlan M., Chen Z., Collings I. B. (2011) SER of multiple Amplify-and-Forward relays with selection diversity. IEEE Transactions on Communications 59(8): 2078–2083
Simon M. K., Alouini M.-S. (2000) Digital communication over fading channels. Wiley, New York
3GPP TR 36.814 V9.0.0. Evolved Universal terrestrial radio access (E-UTRA), further advancements for E-UTRA physical layer aspects.
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This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0002650).
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Ko, K., Woo, C. More Accurate ASER Bound for Opportunistic Amplify-and-Forward Relay Systems. Wireless Pers Commun 68, 609–617 (2013). https://doi.org/10.1007/s11277-011-0471-8
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DOI: https://doi.org/10.1007/s11277-011-0471-8