协作通信中的中继技术研究
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摘要
空间分集或者说多天线分集技术因为能轻易地与其他分集技术(如时间分集和频率分集)结合起来,或者在其他分集技术无法应用时仍然能够为系统提供显著的增益,而得到了极大的关注。但在实现过程中,对体积、成本、功耗受限的移动终端要实现空间分集技术较为困难。相比起传统的多天线技术,在无线网络中,用户能够协同空闲的其他节点中继信息,以形成虚拟多天线系统来利用空间分集,在节点只能具备单天线的前提下能够提高系统性能和抗衰落能力。我们称之为协作通信。
本文在相关研究的基础上,针对协作中继通信系统的一些关键技术进行了深入的研究。特别是对基于发射分集的多点协作通信系统,固定多天线中继节点网络和增量中继协议等方面取得一些进展。本文的主要工作如下:
(4)提出了一种新的两跳多点中继协作通信系统模型,研究了在独立同分布Rayleigh衰落中采用选择解码转发协议的多点协作中继系统的误符号率和中断率性能。文中采用矩母函数分析方法,通过引入超几何函数,详尽推导出Rayleigh衰落信道下的多点合作通信系统的平均符号错误率和中断率的精确闭式表达式。通过蒙特卡洛仿真,验证了表达式的正确性。仿真结果显示两跳多点合作中继通信系统较之传统的合作系统拥有更好的性能。
(5)基于固定多天线中继节点方案,研究了在指数相关同分布Nakagami-m信道环境下,多天线中继协作通信网络的性能。本文通过基于矩母函数(moment generating function, MGF)的方法推导了系统的中断率(outage probability, OP)和误比特率(bit error rate, BER)的闭式表达式。同时研究了中继节点所处位置对于系统性能的影响。
(6)提出了一种基站调节的基于多用户分集的协作增量中继协议,在保持传统中继协议利用无线信道的广播特性通过两跳式的中继过程来产生多用户分集增益的特性外,还节省了信道资源有利于提高系统吞吐量。
Space, or multiple-antenna, diversity techniques are particularly attractive as they can be readily combined with other forms of diversity, e.g., time and frequency diversity, and still offer dramatic performance gains when other forms of diversity are unavailable. It is difficult for mobile users to achieve MIMO techniques, these mobile terminals inability to equip-multiple antennas due to the constraints with the size,power or the cost,which also leads to new direction for application of MIMO.In contrast to the more conventional forms of multiple-antenna techniques, in wireless network, users can cooperate by relaying information for one another when they are idle, to form a virtual multiple-antenna system, thus achieving space diversity and enhancing the system performance and robustness to fading under the premise of using single antenna terminal. We refer to this form of communication as cooperative communication.
On the basis of international current research works,this thesis investigates some key theories and technologies for cooperative communication systems in depth, and presents some new contributions in the following topics: Transmit diversity-based cooperative communication systems with Multi-point relays, Fixed multi-antenna relay network, incremental cooperative relaying protocol. The following contents are the main work in this thesis:
(1) A two-hop multi-point cooperative relaying communication systems model is proposed and this thesis study the performance of Multi-point relaying cooperative communication systems using selection decode-and-forward relays over independent non-identical Rayleigh fading channel. Exact and closed-form expressions of average symbol error rate (SER) and outage probability with Rayleigh fading channels was firstly derived by means of the moment generating function (MGF) with hyper-geometric function. Simulation results shown that the expressions were valid and the performance of two-hop multi-points cooperative relaying communication systems was better than that of traditional cooperative communication system.
(2) Performance of cooperative relaying employs infrastructure based fixed relays having multiple antennas has been investigated. Close form expressions for outage probability and bit error rate have been derived for Nakagami fading channels. The effect of fading correlation among relay antennas and relay positioning on the system performance have also been studied.
(3) The paper propose a base-station coordinated cooperative multi-user diversity incremental relaying protocol, which uses the broadcast feature of the wireless channel to induce multi-user diversity through a two-phase relaying process and improve throughout by saving the channel resource.
本文在相关研究的基础上,针对协作中继通信系统的一些关键技术进行了深入的研究。特别是对基于发射分集的多点协作通信系统,固定多天线中继节点网络和增量中继协议等方面取得一些进展。本文的主要工作如下:
(4)提出了一种新的两跳多点中继协作通信系统模型,研究了在独立同分布Rayleigh衰落中采用选择解码转发协议的多点协作中继系统的误符号率和中断率性能。文中采用矩母函数分析方法,通过引入超几何函数,详尽推导出Rayleigh衰落信道下的多点合作通信系统的平均符号错误率和中断率的精确闭式表达式。通过蒙特卡洛仿真,验证了表达式的正确性。仿真结果显示两跳多点合作中继通信系统较之传统的合作系统拥有更好的性能。
(5)基于固定多天线中继节点方案,研究了在指数相关同分布Nakagami-m信道环境下,多天线中继协作通信网络的性能。本文通过基于矩母函数(moment generating function, MGF)的方法推导了系统的中断率(outage probability, OP)和误比特率(bit error rate, BER)的闭式表达式。同时研究了中继节点所处位置对于系统性能的影响。
(6)提出了一种基站调节的基于多用户分集的协作增量中继协议,在保持传统中继协议利用无线信道的广播特性通过两跳式的中继过程来产生多用户分集增益的特性外,还节省了信道资源有利于提高系统吞吐量。
Space, or multiple-antenna, diversity techniques are particularly attractive as they can be readily combined with other forms of diversity, e.g., time and frequency diversity, and still offer dramatic performance gains when other forms of diversity are unavailable. It is difficult for mobile users to achieve MIMO techniques, these mobile terminals inability to equip-multiple antennas due to the constraints with the size,power or the cost,which also leads to new direction for application of MIMO.In contrast to the more conventional forms of multiple-antenna techniques, in wireless network, users can cooperate by relaying information for one another when they are idle, to form a virtual multiple-antenna system, thus achieving space diversity and enhancing the system performance and robustness to fading under the premise of using single antenna terminal. We refer to this form of communication as cooperative communication.
On the basis of international current research works,this thesis investigates some key theories and technologies for cooperative communication systems in depth, and presents some new contributions in the following topics: Transmit diversity-based cooperative communication systems with Multi-point relays, Fixed multi-antenna relay network, incremental cooperative relaying protocol. The following contents are the main work in this thesis:
(1) A two-hop multi-point cooperative relaying communication systems model is proposed and this thesis study the performance of Multi-point relaying cooperative communication systems using selection decode-and-forward relays over independent non-identical Rayleigh fading channel. Exact and closed-form expressions of average symbol error rate (SER) and outage probability with Rayleigh fading channels was firstly derived by means of the moment generating function (MGF) with hyper-geometric function. Simulation results shown that the expressions were valid and the performance of two-hop multi-points cooperative relaying communication systems was better than that of traditional cooperative communication system.
(2) Performance of cooperative relaying employs infrastructure based fixed relays having multiple antennas has been investigated. Close form expressions for outage probability and bit error rate have been derived for Nakagami fading channels. The effect of fading correlation among relay antennas and relay positioning on the system performance have also been studied.
(3) The paper propose a base-station coordinated cooperative multi-user diversity incremental relaying protocol, which uses the broadcast feature of the wireless channel to induce multi-user diversity through a two-phase relaying process and improve throughout by saving the channel resource.
引文
[1]彭木根,王文博.协同无线通信原理与应用.北京:机械工业出版社,2008,1-21
[2]沈嘉. IMT-Advanced无线空中接口关键技术.电信科学,2007,23(9),45-48
[3] G J Foschini. Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas. Bell Labs Technical Journal,1996,1(2),41-59
[4] G J Foschini, M J Gans. On limits of wireless communications in a fading environment when using multiple antennas. Wireless Personal Communications,1998,6(3),311-335
[5] Telatar, Emre. Capacity of multi-antenna Gaussian channels. European Transactions on Telecommunications,1999,10(6),585-595
[6] Huter T E. Coded Cooperation: A New Framework for User Cooperation in Wireless Networks[dissertation]. University Texas at Dallas,1998,156-157
[7] Laneman J N, Wornell G W, Tse D N C. An efficient protocol for realizing cooperative diversity in wireless networks. In:Proc of IEEE International Symposium on Information Theory(ISIT). Washington,D. C., 2001,294-294
[8] Sendonaris A, Erkip E, Aazhang B. User cooperation diversity-Part I:System description. IEEE Transactions on Communication,2003,51(11),1927-1938
[9] Zhang L, Tse D N C. Diversity and multiplexing: A fundamental trade-off in multiple antenna channels. IEEE Transaction on Information Theory,2003,49(5),1073-1096
[10] T Cover, A E Gamal. Capacity theorems for the relay channel. IEEE Transactions on Information Theory,1979,IT-25(9),572-584
[11] Laneman J N, Wornell G W, Tse D N C. Cooperative Diversity in Wireless Networks:Efficient Protocols and Outage Behavior. IEEE Transactions on Information Theory,2004,50(12),3062-3080
[12] M Janani, A Hedayat, T E Hunter, et al. Coded cooperation in wireless communications: space-time transmission and iterative decoding. IEEE Transactions on Signal Processing,2004,52(2),362-371
[13] R U Nabar, H Blocskei, F W Kneubuhler. Fading relay channels: performance limits and space-time signal design. IEEE Journal on Selected Areas in Communications,2004,22(6),1099-1109
[14] A Bletas, A Khisti, D P Reed, A Lippman. A simple cooperative diversity method based on network path selection. IEEE Journal on Selected Areas in Communications,2006,24(3),659-672
[15]郭金淮,赵雄伟,徐晓建等.基于DF的协作节点选择及功率分配策略研究.计算机科学,2007,34(6),64-67
[16] Wei Chen, Khaled B Letaief, Zhigang Cao. Cooperative Interference Cancellation in Multi-hop Wireless Networks: A Cross Layer Approach. IEEE Global Telecommunications Conference.Nov.2006,1-5.
[17] I I Krikidis, J J Thompson, N N Goertz. A Cross-Layer Approach for Cooperative Networks. IEEE Transaction onVehicular Techology,2008,57(5),3257-3263
[18] Y Yuan, Z He, M Chen. Virtual MIMO-based cross-layer design for wireless sensor networks. IEEE Transaction onVehicular Techology,2006,55(5),856-864
[19] Ghasemi A, Sousa E S. Spectrum sensing in cognitive radio networks, the cooperation processing tradeoff. Wireless Communications and Mobile Computing,2007,9(7),1039-1060
[20] Peng Q H, Zeng K, Wang J. A distributed spectrum sensing scheme based on credibility and evidence theory in cognitive radio context. In: IEEE 17th International Symposium on Personal, Indoor and Mobile Radio Communications,2006(9),1-5
[21] Koetter R, Medard M. An Algebraic approach to network coding.IEEE/ACM Transaction on Networking,2003,11(5),782-295
[22] Ho T, Medard M, Shi J. On randomized network coding. In: 41st Annual Alorton Conference on Communication Control and Computing,Oct.2003.
[23] Cai N, Yeung R. Secure network coding. In: IEEE International Symposium on Information Theory,Jun 2003.
[24] A Paulraj, R Nabar, D Gore. Introduction to Space-Time Wireless Communication. Cambridge:Cambridge University Press,2003,90-101
[25] N Chiurtu, B Rimoldi, E Telatar. On the capacity of multi-antenna Gaussian channels. In: 2001 IEEE International Symposium on Information Theory. Washington DC,2001,53-54
[26] A M Tulino, S Verdu. Random matrix theory and wireless communications. Foundations and Trends in Communications and Information Theory,2004,1(1),181-182
[27] V L Girko. A refinement of the central limit theorem for random determinants. Theory of Probability and its Applications,1998,42(1),121-129
[28] A L Moustakas, S H Simon, A M Sengupta. MIMO capacity through correlated channels in the presence of correlated interferes and noise: A large N analysis. IEEE Transactions on Information Theory,2003,49(10),2545-2561
[29] Jafar S A, Goldsmith A. Transmitter optimization and optimality of beamforming for multiple antenna systems. IEEE Transactions on Wireless Communications, 2004,3(4),1165-1175
[30] Giannakis G B. Signal processing advances in wireless and mobile communications. IEEE Signal Processing Magazine,2000,17(3),14-15
[31] Heath R W, Paulraj A J. Switching between diversity and multiplexing in MIMO systems. IEEE Transactions on Communications,53(6),962-968
[32]林霏,罗涛,路安琼等.协同通信系统中基于遍历容量的近似最优功率分配.通信学报,2009,30(6),26-32.
[33] LANEMAN J, TSE D, WORNELL G. Cooperative diversity in wireless network: Efficient protocols and outage behavior. IEEE Transactions on Information Theory, 2004, 50(12),3062-3080.
[34] KATIYAR H, BHATTACHARJEE R. Performance of Two-hop Decode-Forward Multi-antenna Cooperative relaying in Nakagami-n Fading channel//IndiaConference (INDICON), 2009 Annual IEEE,Gujarat ,India,2009, 12,1-4.
[35] E Beres, R Adve. Selection Cooperative in Multi-Source Cooperative Networks. IEEE Communication Lett,2007,11(7),589-591.
[36] LEE Y, TSAI M. Performance of decode-forward cooperative communications over Nakagami-fading channels. IEEE Transaction on Vehicular Technology, 2009, 58(3),1218-1228.
[37] Adinoyi A, Yanikomeroglu H. Cooperative relaying in multi-antenna fixed relay networks. IEEE Transactions on Wireless Communication,2007,6(2),533-534.
[38] IKKI S S, Ahmed H. Performance analysis of decode-and-forward incremental relaying cooperative-diversity networks over rayleigh fading channel//Vehicular Technology Conference, Barcelona,2009, 4,1-6.
[39]徐峰,岳殿武,严秋娜.基于机会中继和最大比合并下的协作通信系统.通信学报,2009,30(12),36-44
[40] HUSSAIN S I, HASNA M O, ALOUINI M S. Performance analysis of best relay selection scheme for fixed gain cooperative networks in non- identical Nakagami-m channels. In:2010 7th International Symposium on Wireless Communication Systems (ISWCS),York,2010,255-256
[41] NOSRATINIA A, HUNTER T E. Grouping and partner selection in cooperative wireless networks. IEEE Journal on Selected Areas in Communication, 2007, 25(2): 369-378.
[42] Goldsmith A. Wireless communication. Cambridge: Cambridge University Press, 2005,176-187.
[43] SHIN H, LEE J H. Exact symbol error probability of orthogonal space-time block codes//GLOBECOM 2002-IEEE Global Telecommunications Conference (GLOBECOM’02), Taipei, Taiwan, 2002, 11,1206-1210.
[44] Yi Zhao, Adve R, Teng Joon Lim. Outage probability at arbitrary SNR with cooperative diversity. IEEE Communications Letters,2005,9(8),700-702
[45] Adinoyi A, Yanikomeroglu H. On the Performance of Cooperative Wireless Fixed Relays in Asymmetric Channels. In: IEEE GLOBECOM '06,San Francisco,2006,1-3
[46] Adinoyi A, H Yanikomeroglu. Cooperative relaying in multiantenna fixed relay networks. IEEE Transactions on Wireless Communications,2007,6(2),533-544
[47] M. K. Simon, M. S. Alouini. Digital Communication over Fading Channels, New York: Wiley, 2005.
[48] Z. Jingmei, S. Chunju, W. Ying, Z. Ping.Optimal power allocation for multiple-input-multiple-output relaying system. In: IEEE VTC,2004,2,1405–1409
[49] Norman C, Beaulieu, Jeremiah Hu. A closed-form expression for the outage probability of decode-and-forward relaying in dissimilar Rayleigh fading channels. IEEE Communications Letters,2006,10(12),813-815
[50] Y. C. Ko, M. S. Alouini, M. K. Simon. Outage probability of diversity systems over generalized fading channels. IEEE Transactions on Communications,2000, 48(11),1783-1787
[51] M. S. Alouini, A. J. Goldsmith. A unified approach for calculating error rates oflinearly modulated signals over generalized fading channels. IEEE Transactions on Communications,1999,47(9),1324-1334
[52] Viswanath P, Tse D.N.C., Laroia R. Opportunistic beamforming using dumb antennas. IEEE Transactions on Information Theory,2002,48(6),1277-1294
[53] Salem M, Adinoyi A, Rahman M, Yanikomeroglu H, Falconer D, Young-Doo Kim. Fairness-aware radio resource management in downlink OFDMA cellular relay networks. IEEE Transactions on Fairness-awareWireless Communications,2010,9(5), 1628-1639
[54] Pabst R, Walke B H, Schultz D C. Relay-based deployment concepts for wireless and mobile broadband radio. IEEE Communications Magazine,2004,42(9),80-89
[55] Wei Ni, Zhuo Chen, Collings I B. Cooperative Hybrid ARQ in Wireless Decode-and-Forward Relay Networks. In: 2010 IEEE 71st Vehicular Technology Conference (VTC 2010-Spring),Taipei,2010,16-19
[56] Franceschetti M, Migliore M D. The capacity of wireless networks: Information-theoretic and physical limits. IEEE Transactions on Information Theory,2009,55(8),3413-3424
[2]沈嘉. IMT-Advanced无线空中接口关键技术.电信科学,2007,23(9),45-48
[3] G J Foschini. Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas. Bell Labs Technical Journal,1996,1(2),41-59
[4] G J Foschini, M J Gans. On limits of wireless communications in a fading environment when using multiple antennas. Wireless Personal Communications,1998,6(3),311-335
[5] Telatar, Emre. Capacity of multi-antenna Gaussian channels. European Transactions on Telecommunications,1999,10(6),585-595
[6] Huter T E. Coded Cooperation: A New Framework for User Cooperation in Wireless Networks[dissertation]. University Texas at Dallas,1998,156-157
[7] Laneman J N, Wornell G W, Tse D N C. An efficient protocol for realizing cooperative diversity in wireless networks. In:Proc of IEEE International Symposium on Information Theory(ISIT). Washington,D. C., 2001,294-294
[8] Sendonaris A, Erkip E, Aazhang B. User cooperation diversity-Part I:System description. IEEE Transactions on Communication,2003,51(11),1927-1938
[9] Zhang L, Tse D N C. Diversity and multiplexing: A fundamental trade-off in multiple antenna channels. IEEE Transaction on Information Theory,2003,49(5),1073-1096
[10] T Cover, A E Gamal. Capacity theorems for the relay channel. IEEE Transactions on Information Theory,1979,IT-25(9),572-584
[11] Laneman J N, Wornell G W, Tse D N C. Cooperative Diversity in Wireless Networks:Efficient Protocols and Outage Behavior. IEEE Transactions on Information Theory,2004,50(12),3062-3080
[12] M Janani, A Hedayat, T E Hunter, et al. Coded cooperation in wireless communications: space-time transmission and iterative decoding. IEEE Transactions on Signal Processing,2004,52(2),362-371
[13] R U Nabar, H Blocskei, F W Kneubuhler. Fading relay channels: performance limits and space-time signal design. IEEE Journal on Selected Areas in Communications,2004,22(6),1099-1109
[14] A Bletas, A Khisti, D P Reed, A Lippman. A simple cooperative diversity method based on network path selection. IEEE Journal on Selected Areas in Communications,2006,24(3),659-672
[15]郭金淮,赵雄伟,徐晓建等.基于DF的协作节点选择及功率分配策略研究.计算机科学,2007,34(6),64-67
[16] Wei Chen, Khaled B Letaief, Zhigang Cao. Cooperative Interference Cancellation in Multi-hop Wireless Networks: A Cross Layer Approach. IEEE Global Telecommunications Conference.Nov.2006,1-5.
[17] I I Krikidis, J J Thompson, N N Goertz. A Cross-Layer Approach for Cooperative Networks. IEEE Transaction onVehicular Techology,2008,57(5),3257-3263
[18] Y Yuan, Z He, M Chen. Virtual MIMO-based cross-layer design for wireless sensor networks. IEEE Transaction onVehicular Techology,2006,55(5),856-864
[19] Ghasemi A, Sousa E S. Spectrum sensing in cognitive radio networks, the cooperation processing tradeoff. Wireless Communications and Mobile Computing,2007,9(7),1039-1060
[20] Peng Q H, Zeng K, Wang J. A distributed spectrum sensing scheme based on credibility and evidence theory in cognitive radio context. In: IEEE 17th International Symposium on Personal, Indoor and Mobile Radio Communications,2006(9),1-5
[21] Koetter R, Medard M. An Algebraic approach to network coding.IEEE/ACM Transaction on Networking,2003,11(5),782-295
[22] Ho T, Medard M, Shi J. On randomized network coding. In: 41st Annual Alorton Conference on Communication Control and Computing,Oct.2003.
[23] Cai N, Yeung R. Secure network coding. In: IEEE International Symposium on Information Theory,Jun 2003.
[24] A Paulraj, R Nabar, D Gore. Introduction to Space-Time Wireless Communication. Cambridge:Cambridge University Press,2003,90-101
[25] N Chiurtu, B Rimoldi, E Telatar. On the capacity of multi-antenna Gaussian channels. In: 2001 IEEE International Symposium on Information Theory. Washington DC,2001,53-54
[26] A M Tulino, S Verdu. Random matrix theory and wireless communications. Foundations and Trends in Communications and Information Theory,2004,1(1),181-182
[27] V L Girko. A refinement of the central limit theorem for random determinants. Theory of Probability and its Applications,1998,42(1),121-129
[28] A L Moustakas, S H Simon, A M Sengupta. MIMO capacity through correlated channels in the presence of correlated interferes and noise: A large N analysis. IEEE Transactions on Information Theory,2003,49(10),2545-2561
[29] Jafar S A, Goldsmith A. Transmitter optimization and optimality of beamforming for multiple antenna systems. IEEE Transactions on Wireless Communications, 2004,3(4),1165-1175
[30] Giannakis G B. Signal processing advances in wireless and mobile communications. IEEE Signal Processing Magazine,2000,17(3),14-15
[31] Heath R W, Paulraj A J. Switching between diversity and multiplexing in MIMO systems. IEEE Transactions on Communications,53(6),962-968
[32]林霏,罗涛,路安琼等.协同通信系统中基于遍历容量的近似最优功率分配.通信学报,2009,30(6),26-32.
[33] LANEMAN J, TSE D, WORNELL G. Cooperative diversity in wireless network: Efficient protocols and outage behavior. IEEE Transactions on Information Theory, 2004, 50(12),3062-3080.
[34] KATIYAR H, BHATTACHARJEE R. Performance of Two-hop Decode-Forward Multi-antenna Cooperative relaying in Nakagami-n Fading channel//IndiaConference (INDICON), 2009 Annual IEEE,Gujarat ,India,2009, 12,1-4.
[35] E Beres, R Adve. Selection Cooperative in Multi-Source Cooperative Networks. IEEE Communication Lett,2007,11(7),589-591.
[36] LEE Y, TSAI M. Performance of decode-forward cooperative communications over Nakagami-fading channels. IEEE Transaction on Vehicular Technology, 2009, 58(3),1218-1228.
[37] Adinoyi A, Yanikomeroglu H. Cooperative relaying in multi-antenna fixed relay networks. IEEE Transactions on Wireless Communication,2007,6(2),533-534.
[38] IKKI S S, Ahmed H. Performance analysis of decode-and-forward incremental relaying cooperative-diversity networks over rayleigh fading channel//Vehicular Technology Conference, Barcelona,2009, 4,1-6.
[39]徐峰,岳殿武,严秋娜.基于机会中继和最大比合并下的协作通信系统.通信学报,2009,30(12),36-44
[40] HUSSAIN S I, HASNA M O, ALOUINI M S. Performance analysis of best relay selection scheme for fixed gain cooperative networks in non- identical Nakagami-m channels. In:2010 7th International Symposium on Wireless Communication Systems (ISWCS),York,2010,255-256
[41] NOSRATINIA A, HUNTER T E. Grouping and partner selection in cooperative wireless networks. IEEE Journal on Selected Areas in Communication, 2007, 25(2): 369-378.
[42] Goldsmith A. Wireless communication. Cambridge: Cambridge University Press, 2005,176-187.
[43] SHIN H, LEE J H. Exact symbol error probability of orthogonal space-time block codes//GLOBECOM 2002-IEEE Global Telecommunications Conference (GLOBECOM’02), Taipei, Taiwan, 2002, 11,1206-1210.
[44] Yi Zhao, Adve R, Teng Joon Lim. Outage probability at arbitrary SNR with cooperative diversity. IEEE Communications Letters,2005,9(8),700-702
[45] Adinoyi A, Yanikomeroglu H. On the Performance of Cooperative Wireless Fixed Relays in Asymmetric Channels. In: IEEE GLOBECOM '06,San Francisco,2006,1-3
[46] Adinoyi A, H Yanikomeroglu. Cooperative relaying in multiantenna fixed relay networks. IEEE Transactions on Wireless Communications,2007,6(2),533-544
[47] M. K. Simon, M. S. Alouini. Digital Communication over Fading Channels, New York: Wiley, 2005.
[48] Z. Jingmei, S. Chunju, W. Ying, Z. Ping.Optimal power allocation for multiple-input-multiple-output relaying system. In: IEEE VTC,2004,2,1405–1409
[49] Norman C, Beaulieu, Jeremiah Hu. A closed-form expression for the outage probability of decode-and-forward relaying in dissimilar Rayleigh fading channels. IEEE Communications Letters,2006,10(12),813-815
[50] Y. C. Ko, M. S. Alouini, M. K. Simon. Outage probability of diversity systems over generalized fading channels. IEEE Transactions on Communications,2000, 48(11),1783-1787
[51] M. S. Alouini, A. J. Goldsmith. A unified approach for calculating error rates oflinearly modulated signals over generalized fading channels. IEEE Transactions on Communications,1999,47(9),1324-1334
[52] Viswanath P, Tse D.N.C., Laroia R. Opportunistic beamforming using dumb antennas. IEEE Transactions on Information Theory,2002,48(6),1277-1294
[53] Salem M, Adinoyi A, Rahman M, Yanikomeroglu H, Falconer D, Young-Doo Kim. Fairness-aware radio resource management in downlink OFDMA cellular relay networks. IEEE Transactions on Fairness-awareWireless Communications,2010,9(5), 1628-1639
[54] Pabst R, Walke B H, Schultz D C. Relay-based deployment concepts for wireless and mobile broadband radio. IEEE Communications Magazine,2004,42(9),80-89
[55] Wei Ni, Zhuo Chen, Collings I B. Cooperative Hybrid ARQ in Wireless Decode-and-Forward Relay Networks. In: 2010 IEEE 71st Vehicular Technology Conference (VTC 2010-Spring),Taipei,2010,16-19
[56] Franceschetti M, Migliore M D. The capacity of wireless networks: Information-theoretic and physical limits. IEEE Transactions on Information Theory,2009,55(8),3413-3424