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http://dx.doi.org/10.1109/JCN.2016.000005

Dual-Hop Amplify-and-Forward Multi-Relay Maximum Ratio Transmission  

Erdogan, Eylem (Department of Electrical and Electronics Engineering, Kadir Has University)
Gucluoglu, Tansal (Department of Electronics and Communications Engineering, Yildiz Technical University)
Publication Information
Abstract
In this paper, the performance of dual-hop multi-relay maximum ratio transmission (MRT) over Rayleigh flat fading channels is studied with both conventional (all relays participate the transmission) and opportunistic (best relay is selected to maximize the received signal-to-noise ratio (SNR)) relaying. Performance analysis starts with the derivation of the probability density function, cumulative distribution function and moment generating function of the SNR. Then, both approximate and asymptotic expressions of symbol error rate (SER) and outage probability are derived for arbitrary numbers of antennas and relays. With the help of asymptotic SER and outage probability, diversity and array gains are obtained. In addition, impact of imperfect channel estimations is investigated and optimum power allocation factors for source and relay are calculated. Our analytical findings are validated by numerical examples which indicate that multi-relay MRT can be a low complexity and reliable option in cooperative networks.
Keywords
Channel estimation error; conventional and opportunistic relaying; maximum ratio transmission; multi-relay; power allocation;
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1 L. Yang and Q. T. Zhang, "Outage performance of MIMO relay channels with maximal ratio transmission," Electron. Lett., vol. 45, pp. 273-275, Feb. 2010.
2 J. B. Kim and D. Kim, "Performance of dual-hop amplify-and-forward beamforming and its equivalent systems in Rayleigh fading channels," IEEE Trans. Commun., vol. 58, pp. 729-732, 2011.
3 D. B. da Costa and S. Aissa, "Cooperative dual-hop relaying systems with beamforming over Nakagami-m fading channels," IEEE Trans. Wireless Commun., vol. 57, pp. 3950-3954, 2009.
4 E. Erdogan and T. Gucluoglu, "Simple outage probability bound for twoway relay networks with joint antenna and relay selection over Nakagami-m fading channels," Electron. Lett., vol. 51, pp. 415-417, Mar. 2015.   DOI
5 S. S. Ikki, "Optimisation study of power allocation and relay location for amplify-and-forward systems over Nakagami-m fading channels," Trans. Emerg. Telecommun. Technol., vol. 25, pp. 334-342, 2014.   DOI
6 F. Wang et al., "Outage probability and SER analysis of partial relay selection in amplify-and-forward MIMO relay systems," in Proc. IEEE VTC, 2011.
7 J. Ouyang, M. Lin, and Y. Zhuang, "Performance analysis of beamforming with feedback delay in two-hop AF relaying over Rayleigh-Rician fading channels," Electron. Lett., vol. 48, pp. 663-665, 2012.   DOI
8 G. Amarasuriya, C.Tellambura, and M. Ardakani, "Performance analysis of hop-by-hop beamforming for dual-hop MIMO AF relay networks," IEEE Trans. Commun., vol. 60, pp. 1823-1837, 2012.   DOI
9 Z. Wang and G. B. Giannakis, "A simple and general parameterization quantifying performance in fading channels," IEEE Trans. Commun., vol. 51, pp. 1389-1398, 2003.   DOI
10 C. Wang, T. C.-K. Liu, and X. Dong, "Impact of channel estimation error on the performance of amplify-and-forward two-way relaying," IEEE Trans. Veh. Technol., vol. 61, pp. 1197-1206, Mar. 2012.   DOI
11 S. Prakash and I. McLoughlin, "Performance of dual-hop multi-antenna systems with fixed gain amplify-and-forward relay selection," IEEE Trans. Wireless Commun., vol. 6, pp. 1709-1712, 2011.
12 E. S. Nasab and M. Matthaiou, "Multi-relay MIMO systems with OSTBC over Nakagami-m fading channels," IEEE Trans. Veh. Technol., vol. 62, pp. 3721-3736, Oct. 2013.   DOI
13 S. S. Ikki and S. Aissa, "Impact of imperfect channel estimation and cochannel interference on dual-hop relaying systems," IEEE Commun. Lett., vol. 16, pp. 324-327, Mar. 2012.   DOI
14 A. Yilmaz and O. Kucur, "Performances of transmit antenna selection, receive antenna selection and maximal ratio combining based hybrid techniques in the presence of feedback errors," IEEE Trans. Veh. Technol., vol. 63, pp. 1976-1982, 2014.   DOI
15 L. Wang, Y. Chai, W. Yang, and W. Yang, "Performance analysis of transmit beamforming and relay selection with feedback delay and channel estimation errors," in Proc. WCSP, 2013.
16 M. R.McKay, A. Zanella, I. B. Collings, andM. Chiani, "Error probability and SINR analysis of optimum combining in Rician fading," IEEE Trans. Commun, vol. 57, pp. 676-687, 2009.   DOI
17 K. K. Oldham, J.Myland, and J. Spanier, An Atlas of Functions with Equator the Atlas Function Calculator, 2nd ed. Springer, 2008.
18 I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, 7th ed. California: Academic Press, 2007.
19 T. T. Duy and H. Y. Kong, "Performance analysis of hybrid decodeamplify-forward incremental relaying cooperative diversity protocol using SNR-based relay selection," J. Commun. Netw., vol. 14, pp. 703-709, Dec. 2012.   DOI
20 M. K Simon and A. S. Alouini AS, Digital Communication over Fading Channels, New York: Wiley, 2007.
21 T. K. Y. Lo, "Maximum ratio transmission," IEEE Trans. Commun., vol. 47, pp. 1458-1461, Oct. 1999.   DOI
22 V. C. Bao and H. Y. Kong, "An exact closed-form expression for bit error rate of decode-and-forward relaying using selection combining over Rayleigh fading channels," J. Commun. Netw., vol. 11, pp. 480-488, Oct. 2009.   DOI
23 A. F. Coskun and O. Kucur, "Performance analysis of maximal-ratio transmission/ receive antenna selection in Nakagami-m fading channels with channel estimation errors and feedback delay," IEEE Trans Veh. Technol., vol. 10, pp. 1099-1108, Mar. 2012.
24 H. Min, S. Lee, K. Kwak, and D. Hong, "Effect of multiple antennas at the source on outage probability for amplify-and-forward relaying systems," IEEE Trans. Wireless Commun., vol. 8, pp. 633-637, Feb. 2009.   DOI
25 S. M. Alamouti, "A simple transmit diversity technique for wireless communications," IEEE J. Sel. Areas Commun., vol. 17, pp. 1451-1458, Oct. 1998.
26 A. Nosratinia, T.E. Hunter, and A. Hedeyat, "Cooperative communication in wireless networks," IEEE Commun.Mag., vol. 42, pp. 74-80, Oct. 2004.   DOI
27 J.N. Laneman, D. N. C. Tse, and G.W. Wornell, "Cooperative diversity in wireless networks: Efficient protocols and outage behavior," IEEE Trans. Inf. Theory, vol. 50, pp. 3062-3080, Dec. 2004.   DOI
28 A. Sendorinis, E. Erkip, and B. Aazhang, "User cooperation diversity-part I: System description," IEEE Trans. Commun., vol. 51, pp. 1927-1938, Nov. 2003.   DOI
29 A. Chakrabarti, E. Erkip, A. Sabharwal, and B. Aazhang, "Code designs for cooperative communication," IEEE Signal Process. Mag., vol. 24, pp. 16-26, Sept. 2007.
30 P. A. Anghel, M. Kaveh, "Exact symbol error probability of a cooperative network in a Rayleigh-fading environment," IEEE Trans. Wireless Commun., vol. 3, pp. 1416-1421, Sept. 2004.   DOI
31 V. C. Bao and H. Y. Kong, "Performance analysis of multi-hop decodeand- forward relaying with selection combining," J. Commun. Netw., vol. 12, pp. 616-623, Dec. 2010.   DOI
32 I. Altunbas, A. Yilmaz, and S. S. Kucur "Performance analysis of dual-hop fixed-gain AF relaying systems with OSTBC over Nakagami-m fading channels," AEU Int. J. Elec. Commun., vol. 66, pp. 841-846, Oct. 2012.   DOI
33 S. S. Ikki and M. H. Ahmed, "Performance analysis of cooperative diversity wireless networks over Nakagami-m fading channel," IEEE Commun. Lett. vol. 11, pp. 334-336, Apr. 2007.   DOI
34 S. S. Ikki and M. H. Ahmed, "Performance of cooperative diversity using equal gain combining over Nakagami-m fading channels," IEEE Trans. Wireless Commun., vol. 8, pp. 557-562, Feb. 2009.   DOI
35 A. Bletsas, A. Lippman, and D. P. Reed, "A simple cooperative diversity method based on network path selection," IEEE J. Sel. Areas Commun.,, vol. 3, pp. 659-672, Mar. 2006.
36 G. C. Alexandropoulos, A. Papadogiannis, and K. Berberidis, "Performance analysis of cooperative networks with relay selection over Nakagami-m fading channels," IEEE Signal Process. Lett., vol. 17, pp. 441-444, May 2010.   DOI
37 D. daCosta, S. Aissa, "Performance analysis of cooperative networks with relay selection over Nakagami-m fading channels," IEEE Commun. Lett., vol. 14, pp. 608-611, July 2010.   DOI