
[1] J. H. Winters, “On the capacity of radio communication systems with diversity in a Rayleigh fading environment,” IEEE J. Sel. Areas Commun., vol. 5, no. 5, pp. 871–878, June 1987. [2] S. M. Alamouti, “A simple transmit diversity technique for wireless communications,” IEEE J. Sel. Areas Commun., vol. 16, no. 8, pp. 1451–1458, Oct. 1998. [3] V. Tarokh, N. Seshadri, and A. R. Calderbank, “Spacetime codes for high data rate wireless communication: Performance criterion and code construction,” IEEE Trans. Inf. Theory, vol. 44, no. 2, pp. 744–765, Mar. 1998. [4] D. Gesbert, M. Shafi, D.S. Shiu, P. J. Smith, and A. Naguib, “From theory to practice: An overview of MIMO spacetime coded wireless systems,” IEEE J. Sel. Areas Commun., vol. 21, no. 3, pp. 281–302, Apr. 2003. [5] A. Sendonaris, E. Erkip, and B. Aazhang, “User cooperation diversity─part I: System description,” IEEE Trans. Commun., vol. 51, no. 11, pp. 1927–1938, Nov. 2003. [6] A. Sendonaris, E. Erkip, and B. Aazhang,, “User cooperation diversity─part II: Implementation aspects and performance analysis,” IEEE Trans. Commun., vol. 51, no. 11, pp. 1939–1948, Nov. 2003. [7] T. E. Hunter and A. Nosratinia, “Cooperative diversity through coding,” in Proc. 2002 IEEE Int. Symp. Inf. Theory (ISIT 2002), Lausanne, Switzerland, JuneJuly 2002, p. 220. [8] J. N. Laneman and G. Wornell, “Distributed spacetimecoded protocols for exploiting cooperative diversity in wireless networks,” IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2415–2425, Oct. 2003. [9] 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, no. 12, pp. 3062–3080, Dec. 2004. [10] A. Nosratinia, T. E. Hunter, and A. Hedayat, “Cooperative communication in wireless networks,” IEEE Commun. Mag., vol. 42, no. 10, pp. 74–80, Oct. 2004. [11] T. J. Oechtering and A. Sezgin, “A new cooperative transmission scheme using the spacetime delay code,” in Proc. 2004 ITG Workshop Smart Antennas, Munich, Germany, Mar. 2004, pp. 41–48. [12] M. Peng, C. Yang, Z. Zhao, W. Wang, and H.H. Chen, “Cooperative network coding in relaybased IMTadvanced systems,” IEEE Commun. Mag., vol. 50, no. 4, pp. 76–84, Apr. 2012. [13] G. Kramer, M. Gastpar, and P. Gupta, “Cooperative strategies and capacity theorems for relay networks,” IEEE Trans. Inf. Theory, vol. 51, no. 9, pp. 3037–3063, Sept. 2005. [14] T. T. Kim, M. Skoglund, and G. Caire, “Quantifying the loss of compress–forward relaying without Wyner–Ziv coding,” IEEE Trans. Inf. Theory, vol. 55, no. 4, pp. 1529–1533, Apr. 2009. [15] K. Azarian, H. El Gamal, and P. Schniter, “On the optimality of the ARQDDF protocol,” IEEE Trans. Inf. Theory, vol. 54, no. 4, pp. 1718–1724, Apr. 2008. [16] B. Nazer and M. Gastpar, “Computeandforward: Harnessing interference through structured codes,” IEEE Trans. Inf. Theory, vol. 57, no. 10, pp. 6463–6485, Oct. 2011. [17] R. Mudumbai, D. R. Brown, U. Madhow, and H. V. Poor, “Distributed transmit beamforming: Challenges and recent progress,” IEEE Commun. Mag., vol. 47, no. 2, pp. 102–110, Feb. 2009. [18] M. F. A. Ahmed and S. A. Vorobyov, “Collaborative beamforming for wireless sensor networks with Gaussian distributed sensor nodes,” IEEE Trans. Wireless Commun., vol. 8, no. 2, pp. 638–643, Feb. 2009. [19] H. Ochiai, P. Mitran, H. V. Poor, and V. Tarokh, “Collaborative beamforming for distributed wireless ad hoc sensor networks,” IEEE Trans. Signal Process., vol. 53, no. 11, pp. 4110–4124, Nov. 2005. [20] C.L. Wang, T.N. Cho, and S.J. Syue, “Cooperative beamforming with multirelay selection for wireless ad hoc networks,” in Proc. 2011 IEEE Veh. Technol. Conf.Spring (VTC 2011Spring), Budapest, Hungary, May 2011. [21] L. Zheng and X.D. Zhang, “Cooperative beamforming with mobile wireless sensor nodes: Performance analysis and optimal node locations,” IEEE Trans. Commun., vol. 58, no. 12, pp. 3375–3380, Dec. 2010. [22] L. Li, H. Hu, X. Chen, and H.H. Chen, “Adaptive cooperative coding with power allocation in wireless relay networks,” IEEE Trans. Wireless Commun., vol. 8, no. 9, pp. 4604–4615, Sept. 2009. [23] A. Khabbazibasmenj and S. A. Vorobyov, “Power allocation based on SEP minimization in twohop decodeandforward relay networks,” IEEE Trans. Signal Process., vol. 59, no. 8, pp. 3954–3963, Aug. 2011. [24] W. Su, A. K. Sadek, and K. J. R. Liu, “Cooperative communication protocols in wireless networks: Performance analysis and optimum power allocation,” Wireless Pers. Commun., vol. 44, no. 2, pp. 181–217, Aug. 2007. [25] M. O. Hasna and M.S. Alouini, “Optimal power allocation for relayed transmissions over Rayleighfading channels,” IEEE Trans. Commun., vol. 3, no. 6, pp. 1999–2004, Nov. 2004. [26] J. Luo, R. S. Blum, L. Cimini, L. Greenstein, and A. Haimovich, “Power allocation in a transmit diversity system with mean channel gain information,” IEEE Commun. Lett., vol. 9, no. 7, pp. 616–618, Jul. 2005. [27] J. Luo, R. S. Blum, L. J. Cimini, L. J. Greenstein, and A. M. Haimovich, “Decodeandforward cooperative diversity with power allocation in wireless networks,” IEEE Trans. Wireless Commun., vol. 6, no. 3, pp. 793–799, Mar. 2007. [28] S. Lee, W. Su, S. Batalama, and J. D. Matyjas, “Cooperative decodeandforward ARQ relaying: Performance analysis and power optimization,” IEEE Trans. Wireless. Commun., vol. 9, no. 8, pp. 2632–2642, Aug. 2010. [29] Y.R. Tsai and L.C. Lin, “Optimal power allocation for decodeandforward cooperative diversity under an outage performance constraint,” IEEE Commun. Lett., vol. 14, no. 10, pp. 945–947, Oct. 2010. [30] C. T. K. Ng and A. J. Goldsmith, “The impact of CSI and power allocation on relay channel capacity and cooperation strategies,” IEEE Trans. Wireless Commun., vol. 7, no. 12, pp. 5380–5389, Dec. 2008. [31] H. Kwon and B. G. Lee, “Cooperative power allocation for broadcast/multicast services in cellular OFDM systems,” IEEE Trans. Commun., vol. 57, no. 10, pp. 3092–3102, Oct. 2009. [32] O. Duval, Z. Hasan, E. Hossain, F. Gagnon, and V. K. Bhargava, “Subcarrier selection and power allocation for amplifyandforward relaying over OFDM links,” IEEE Trans. Wireless. Commun., vol. 9, no. 4, pp. 1293–1297, Apr. 2010. [33] Y. Zhao, R. Adve, and T. J. Lim, “Improving amplifyandforward relay networks: Optimal power allocation versus selection,” IEEE Trans. Wireless Commun., vol. 6, no. 8, pp. 3114–3123, Aug. 2007. [34] A. S. Ibrahim, A. K. Sadek, W. Su, and K. J. R. Liu, “Cooperative communications with relayselection: When to cooperate and whom to cooperate with?,” IEEE Trans. Wireless Commun., vol. 7, no. 7, pp. 2814–2827, July 2008. [35] Z. Yi and I.M. Kim, “Diversity order analysis of the decodeandforward cooperative networks with relay selection,” IEEE Trans. Wireless Commun., vol. 7, no. 5, pp. 1792–1799, May 2008. [36] I. Krikidis, J. S. Thompson, S. Mclaughlin, and N. Goertz, “Maxmin relay selection for legacy amplifyandforward systems with interference,” IEEE Trans. Wireless Commun., vol. 8, no. 6, pp. 3016–3027, June 2009. [37] Y.W. Hong, W.J. Huang, F.H. Chiu, and C.C. J. Kuo, “Cooperative communications in resourceconstrained wireless networks,” IEEE Signal Process. Mag., vol. 24, no. 3, pp. 47–57, Mar. 2007. [38] F. Ke, S. Feng, and H. Zhuang, “Relay selection and power allocation for cooperative network based on energy pricing,” IEEE Commun. Lett., vol. 14, no. 5, pp. 396–398, May 2010. [39] K. Bakanoğlu, S. Tomasin, and E. Erkip, “Resource allocation for the parallel relay channel with multiple relays,” IEEE Trans. Wireless Commun., vol. 10, no. 3, pp. 792–802, Mar. 2011. [40] K.Y. Sung, Y.W. P. Hong, and C.C. Chao, “Resource allocation and partner selection for cooperative multicarrier systems,” IEEE Trans. Veh. Technol., vol. 60, no. 7, pp. 3228–3240, Spet. 2011. [41] C.H. Chen, C.L. Wang, and C.T. Chen, “A resource allocation scheme for cooperative multiuser OFDMbased cognitive radio systems,” IEEE Trans. Commun., vol. 59, no. 11, pp. 3204–3215, Nov. 2011. [42] R. Madan, N. B. Mehta, A. F. Molisch, and Jin Zhang, “Energyefficient cooperative relaying over fading channels with simple relay selection,” IEEE Trans. Wireless Commun., vol. 7, no. 8, pp. 3013–3025, Aug. 2008. [43] Y. Jing and H. Jafarkhani, “Single and multiple relay selection schemes and their achievable diversity orders,” IEEE Trans. Wireless Commun., vol. 8, no. 3, pp. 1414–1423, Mar. 2009. [44] A. Bletsas, A. Khisti, D. Reed, and A. Lippman, “A simple cooperative diversity method based on network path selection,” IEEE J. Sel. Areas Commun., vol. 24, no. 3, pp. 659–672, Mar. 2006. [45] M. O. Hasna and M.S. Alouini, “Performance analysis of twohop relayed transmissions over Rayleigh fading channels,” in Proc. 2002 IEEE Veh. Technol. Conf.–Fall (VTC 2002Fall), Vancouver, Canada, Sept. 2002, pp. 1992–1996. [46] A. K. Sadek, W. Su, and K. J. R. Liu, “Multinode cooperative communications in wireless networks,” IEEE Trans. Signal Process., vol. 55, no. 1, pp. 341–355, Jan. 2007. [47] M. Safari and M. Uysal, “Cooperative diversity over lognormal fading channels: Performance analysis and optimization,” IEEE Trans. Wireless Commun., vol. 7, no. 5, pp. 1963–1972, May 2008. [48] B. Maham and A. Hjørungnes, “Asymptotic performance analysis of amplifyandforward cooperative networks in a Nakagamim fading environment,” IEEE Commun. Lett., vol. 13, no. 5, pp. 300–302, May 2009. [49] M.K. Chang and S.Y. Lee, “Performance analysis of cooperative communication system with hierarchical modulation over Rayleigh fading channel,” IEEE Trans. Wireless Commun., vol. 8, no. 6, pp. 2848–2852, June 2009. [50] M. Ju and I.M. Kim, “ML performance analysis of the decodeandforward protocol in cooperative diversity networks,” IEEE Trans. Wireless Commun., vol. 8, no. 7, pp. 3855–3867, July 2009. [51] P. Liu and I.M. Kim, “Average BER analysis for binary signallings in decodeandforward dissimilar cooperative diversity networks,” IEEE Trans. Wireless Commun., vol. 8, no. 8, pp. 3961–3968, Aug. 2009. [52] M. D. Renzo, F. Graziosi, and F. Santucci, “A unified framework for performance analysis of CSIassisted cooperative communications over fading channels,” IEEE Trans. Commun., vol. 57, no. 9, pp. 2551–2557, Sept. 2009. [53] A. Adinoyi, Y. Fan, H. Yanikomeroglu, H. V. Poor, and F. AlShaalan, “Performance of selection relaying and cooperative diversity,” IEEE Trans. Wireless Commun., vol. 8, no. 12, pp. 5790–5795, Dec. 2009. [54] H. A. Suraweera, H. K. Garg, and A. Nallanathan, “Performance analysis of two hop amplifyand forward systems with interference at the relay,” IEEE Commun. Lett., vol. 14, no. 8, pp. 692–694, Aug. 2010. [55] H. Chen, J. Liu, L. Zheng, C. Zhai, and Y. Zhou, “Approximate SEP analysis for DF cooperative networks with opportunistic relaying,” IEEE Signal Process. Lett., vol. 17, no. 9, pp. 779–782, Spet. 2010. [56] H. Ding, J. Ge, D. B. da Costa, and Z. Jiang, “Asymptotic analysis of cooperative diversity systems with relay selection in a spectrumsharing scenario,” IEEE Trans. Veh. Technol., vol. 60, no. 2, pp. 457–472, Feb. 2011. [57] A. B. Sediq and H. Yanikomeroglu, “Performance analysis of selection combining of signals with different modulation levels in cooperative communications,” IEEE Trans. Veh. Technol., vol. 60, no. 4, pp. 1880–1887, May 2011. [58] X. Ge, K. Huang, C.X. Wang, X. Hong, and X. Yang, “Capacity analysis of a multicell multiantenna cooperative cellular network with cochannel interference,” IEEE Trans. Wireless Commun., vol. 10, no. 10, pp. 3298–3309, Oct. 2011. [59] M. Xia, C. Xing, Y.C. Wu, and S. Aïssa, “Exact performance analysis of dualhop semiblind AF relaying over arbitrary Nakagamim fading channels,” IEEE Trans. Wireless Commun., vol. 10, no. 10, pp. 3449–3459, Oct. 2011. [60] X. Zhang, M. Hasna, and A. Ghrayeb, “Performance analysis of relay assignment schemes for cooperative networks with multiple sourcedestination pairs,” IEEE Trans. Wireless Commun., vol. 11, no. 1, pp. 166–177, Jan. 2012. [61] T. Liu, L. Song, Y. Li, Q. Huo, and B. Jiao, “Performance analysis of hybrid relay selection in cooperative wireless systems,” IEEE Trans. Commun., vol. 60, no. 3, pp. 779–788, Mar. 2012. [62] F. Gao, T. Cui, and A. Nallanathan, “On channel estimation and optimal training design for amplify and forward relay networks,” IEEE Trans. Wireless Commun., vol. 7, no. 5, pp. 1907–1916, May 2008. [63] C. S. Patel and G. L. Stüber, “Channel estimation for amplify and forward relay based cooperation diversity systems,” IEEE Trans. Wireless Commun., vol. 6, no. 6, pp. 2348–2356, June 2007. [64] S. Sun and Y. Jing, “Channel training design in amplifyandforward MIMO relay networks,” IEEE Trans. Wireless Commun., vol. 10, no. 10, pp. 3380–3391, Oct. 2011. [65] F. S. Tabataba, P. Sadeghi, and M. R. Pakravan, “Outage probability and power allocation of amplify and forward relaying with channel estimation errors,” IEEE Trans. Wireless Commun., vol. 10, no. 1, pp. 124–134, Jan. 2011. [66] M. Seyﬁ, S. Muhaidat, and J. Liang, “Amplifyandforward selection cooperation over Rayleigh fading channels with imperfect CSI,” IEEE Trans. Wireless Commun., vol. 11, no. 1, pp. 199–209, Jan. 2012. [67] O. Amin, S. Ikki, and M. Uysal, “On the performance analysis of multirelay cooperative diversity systems with channel estimation errors,” IEEE Trans. Veh. Technol., vol. 60, no. 5, pp. 2050–2059, June 2011. [68] Y. Jia and A. Vosoughi, “Transmission resource allocation for training based amplifyandforward relay systems,” IEEE Trans. Wireless Commun., vol. 10, no. 2, pp. 450–455, Feb. 2011. [69] T. A. Lamahewa, P. Sadeghi, and X. Zhou, “On lower bounding the information capacity of amplify and forward wireless relay channels with channel estimation errors,” IEEE Trans. Wireless Commun., vol. 10, no. 7, pp. 2075–2079, July 2011. [70] J. Zhang and M. C. Gursoy, “Achievable rates and resource allocation strategies for imperfectly known fading relay channels,” EURASIP J. Wireless Commun. Netw., Jan. 2009. [71] B. Wang, J. Zhang, and L. Zheng, “Achievable rates and scaling laws of powerconstrained wireless sensory relay networks,” IEEE Trans. Inf. Theory, vol. 52, no. 9, pp. 4084–4104, Sept. 2006. [72] C.L. Wang, J.Y. Chen, and H.C. Wang, “Capacity analysis and power allocation under imperfect channel estimation for AFbased cooperative relay systems,” in Proc. 2012 IEEE Global Commun. Conf. (Globecom 2012), Anaheim, CA, USA, Dec. 2012. [73] L. Sanguinetti, A. A. D’Amico, and Y. Rong, “A tutorial on the optimization of amplifyandforward MIMO relay networks,” IEEE J. Sel. Areas Commun., vol. 30, no. 8, pp. 1331–1346, Sept. 2012. [74] B. Rankov and A. Wittneben, “Spectral efﬁcient protocols for halfduplex fading relay channels,” IEEE J. Sel. Areas Commun., vol. 25, no. 2, pp. 379–389, Feb. 2007. [75] K. Lee and L. Hanzo, “Resourceefﬁcient wireless relaying protocols,” IEEE Wireless Commun., vol. 17, no. 2, pp. 66–72, Apr. 2010. [76] S. Katti, S. Gollakota, and D. Katabi, “Embracing wireless interference: Analog network coding,” in Proc. SIGCOMM, Kyoto, Japan, Aug. 2007, pp. 397–408. [77] R. Zhang, Y.C. Liang, C. C. Chai, and S. Cui, “Optimal beamforming for twoway multiantenna relay channel with analogue network coding,” IEEE J. Sel. Areas Commun., vol. 27, no. 5, pp. 699–712, June 2009. [78] J. Joung and A. H. Sayed, “Multiuser twoway amplifyandforward relay processing and power control methods for beamforming systems,” IEEE Trans. Signal Process., vol. 53, no. 3, pp. 1833–1846, Mar. 2010. [79] Y. Li, R. H. Y. Louie, and B. Vucetric, “Relay selection with network coding in twoway relay channels,” IEEE Trans. Veh. Technol., vol. 59, no. 9, pp. 4489–4499, Nov. 2010 [80] Q. F. Zhou, Y. Li, F. C. M. Lau, and B. Vucetic, “Decodeandforward twoway relaying with network coding and opportunistic relay selection” IEEE Trans. Commun., vol. 58, no. 11, pp. 3070–3076, Nov. 2010. [81] S. Talwar, Y. Jing, and S. Shahbazpanahi, “Joint relay selection and power allocation for twoway relay networks,” IEEE Signal Process. Lett., vol. 18, no. 2 pp. 91–94, Feb. 2011. [82] H. Guo, J. Ge, and H. Ding, “Symbol error probability of twoway amplifyandforward relaying,” IEEE Commun. Lett., vol. 15, no. 1, pp. 22–24, Jan. 2011. [83] K.S. Hwang, Y.C. Ko, and M.S. Alouini, “Performance analysis of twoway amplify and forward relaying with adaptive modulation over multiple relay network,” IEEE Trans. Commun., vol. 59, no. 2, pp. 402–406, Feb. 2011. [84] C.L. Wang, T.N. Cho, and K.J. Yang, “On power allocation and relay selection for a twoway amplifyandforward relaying system,” IEEE Trans. Commun., vol. 61, no. 8, pp. 3146–3155, Aug. 2013. [85] G. J. Foschini and M. J. Gans, “On limits of wireless communications in a fading environment when using multiple antennas,” Wireless Pers. Commun., vol. 6, no. 3, pp. 311–335, Mar. 1998. [86] E. Telatar, “Capacity of multiantenna Gaussian channels,” Eur. Trans. Telecommun., vol. 10, no. 6, pp. 585–598, Nov. 1999. [87] D. P. Palomar, J. M. Ciofﬁ, and M. A. Lagunas, “Joint TxRx beamforming design for multicarrier MIMO channels: A uniﬁed framework for convex optimization,” IEEE Trans. Signal Process., vol. 51, no. 9, pp. 2381–2401, Sept. 2003. [88] O. MunozMedina, J. Vidal, and A. Agustin, “Linear transceiver design in nonregenerative relays with channel state information,” IEEE Trans. Signal Process., vol. 55, no. 6, pp. 2593–2604, June 2007. [89] W. Guan and H. Luo, “Joint MMSE transceiver design in nonregenerative MIMO relay systems,” IEEE Commun. Lett., vol. 12, no. 7, pp. 517–519, July 2008. [90] Y. Rong, X. Tang, and Y. Hua, “A uniﬁed framework for optimizing linear nonregenerative multicarrier MIMO relay communication systems,” IEEE Trans. Signal Process., vol. 57, no. 12, pp. 4837–4851, Dec. 2009. [91] S. Xu and Y. Hua, “Optimal design of spatial sourceandrelay matrices for a nonregenerative twoway MIMO relay system,” IEEE Trans. Wireless Commun., vol. 10, no. 5, pp. 1645–1655, May 2011. [92] R. Wang and M. Tao, “Joint source and relay precoding designs for MIMO twoway relaying based on MSE criterion,” IEEE Trans. Signal Process., vol. 60, no. 3, pp. 1352–1365, Mar. 2012. [93] H. Park, H. J. Yang, J. Chun, and R. Adve, “A closedform power allocation and signal alignment for a diagonalized MIMO twoway relay channel with linear receivers,” IEEE Trans. Signal Process., vol. 60, no. 11, pp. 5948–5962, Nov. 2012. [94] Y. Rong, “Joint source and relay optimization for twoway linear nonregenerative MIMO relay communications,” IEEE Trans. Signal Process., vol. 60, no. 12, pp. 6533–6546, Dec. 2012. [95] C.L. Wang, J.Y. Chen, and J.J. Jheng, “A precoder design for twoway amplifyandforward MIMO relay systems with linear receivers,” in Proc. IEEE VTC 2014–Fall, Vancouver, Canada, Sept. 2014. [96] S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004. [97] D. N. C. Tse and P. Viswanath, Fundamentals of Wireless Communication. Cambridge, U.K.: Cambridge Univ. Press, 2005. [98] H. Artes, D. Seethaler, and E. Hlawatsch, “Efficient detection algorithms for MIMO channels: A geometrical approach to approximate ML detection,” IEEE Trans. Signal Process., vol. 51, no. 11, pp. 2808–2820, Nov. 2003. [99] G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. Baltimore, MD, USA: Johns Hopkins Univ. Press, 1996. [100] T. Yoo and A. Goldsmith, “Capacity and power allocation for fading MIMO channels with channel estimation error,” IEEE Trans. Inf. Theory, vol. 52, no. 5, pp. 2203–2214, May 2006. [101] A. Goldsmith, Wireless Communications. Cambridge, U.K.: Cambridge Univ. Press, 2005.
