Performance Analysis of OSTBC Transmission in Amplify-and-Forward Cooperative Relay Networks

A performance analysis is presented for amplify-and-forward (AF) cooperative relay networks employing transmit antenna diversity with orthogonal space-time block codes (OSTBCs), where multiple antennas are equipped at the transmitter. We develop a symbol-error-rate (SER) and outage performance analysis for OSTBC transmissions with and without cooperative diversity over flat Rayleigh fading channels. We first derive exact probability density functions (pdf's) and cumulative distribution functions (cdf's) for the system SNR without direct transmission with an arbitrary number of transmit antennas and then present the exact closed-form SER and outage probability expressions. Next, we derive the moment-generating function (MGF) for the overall system SNR with direct transmission and present the exact SER and outage probability with joint transmit antenna diversity and cooperative diversity. The theoretical analysis is validated by simulations, which indicate an exact match between them. The results also show how the transmit antenna diversity and the cooperative diversity affect the overall system performance.

[1]  Elza Erkip,et al.  User cooperation diversity. Part I. System description , 2003, IEEE Trans. Commun..

[2]  Geert Leus,et al.  Distributed Space-Time Coding in Cooperative Networks , 2002 .

[3]  Lutz H.-J. Lampe,et al.  Distributed space-time block coding , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[4]  Hongbin Li,et al.  Performance of Cooperative Relay With Binary Modulation in Nakagami- $m$ Fading Channels , 2008, IEEE Transactions on Vehicular Technology.

[5]  Helmut Bölcskei,et al.  Crystallization in Large Wireless Networks , 2007, IEEE Transactions on Information Theory.

[6]  Raviraj S. Adve,et al.  Non-Coherent Code Acquisition in the Multiple Transmit/Multiple Receive Antenna Aided Single- and Multi-Carrier DS-CDMA Downlink , 2007 .

[7]  S. Chen,et al.  Ergodic and Outage Capacity Analysis of Cooperative Diversity Systems under Rayleigh Fading Channels , 2009, 2009 IEEE International Conference on Communications Workshops.

[8]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[9]  Changchuan Yin,et al.  A squaring method to simplify the decoding of orthogonal space-time block codes , 2001, IEEE Trans. Commun..

[10]  Abbas El Gamal,et al.  Capacity of a class of relay channels with orthogonal components , 2005, IEEE Transactions on Information Theory.

[11]  Mazen O. Hasna,et al.  End-to-end performance of transmission systems with relays over Rayleigh-fading channels , 2003, IEEE Trans. Wirel. Commun..

[12]  Bo Wang,et al.  On the capacity of MIMO relay channels , 2005, IEEE Transactions on Information Theory.

[13]  Anja Klein,et al.  On the Performance of Distributed Space-Time Block Codes in Cooperative Relay Networks , 2007, IEEE Communications Letters.

[14]  Chin Keong Ho,et al.  Moments of Harmonic Mean and Rate Analysis for Two-Way Amplify-and-Forward Relaying , 2008, ICC Workshops - 2008 IEEE International Conference on Communications Workshops.

[15]  Yindi Jing,et al.  Distributed Space-Time Coding in Wireless Relay Networks , 2006, IEEE Transactions on Wireless Communications.

[16]  Mohamed-Slim Alouini,et al.  Outage probability of diversity systems over generalized fading channels , 2000, IEEE Trans. Commun..

[17]  Jos H. Weber,et al.  Symbol Error Rate of Space-Time Coded Multi-Antenna Wireless Cooperative Networks , 2008, VTC Spring 2008 - IEEE Vehicular Technology Conference.

[18]  Yan Xin,et al.  Outage Probability of Rician Fading Relay Channels , 2008, IEEE Transactions on Vehicular Technology.

[19]  Mazen O. Hasna,et al.  Optimal power allocation for relayed transmissions over Rayleigh-fading channels , 2004, IEEE Transactions on Wireless Communications.

[20]  Norman C. Beaulieu,et al.  Ergodic Capacity Analysis of Wireless Relaying Systems In Rayleigh Fading , 2008, 2008 IEEE International Conference on Communications.

[21]  Gregory W. Wornell,et al.  Distributed space-time-coded protocols for exploiting cooperative diversity in wireless networks , 2003, IEEE Trans. Inf. Theory.

[22]  Elza Erkip,et al.  Multiple-Antenna Cooperative Wireless Systems: A Diversity–Multiplexing Tradeoff Perspective , 2007, IEEE Transactions on Information Theory.

[23]  E. Meulen,et al.  Three-terminal communication channels , 1971, Advances in Applied Probability.

[24]  Michael Gastpar,et al.  On the capacity of large Gaussian relay networks , 2005, IEEE Transactions on Information Theory.

[25]  Luc Vandendorpe,et al.  Outage probability analysis of a MIMO relay channel with orthogonal space-time block codes , 2008, IEEE Communications Letters.

[26]  Geert Leus,et al.  Multi-user space-time coding in cooperative networks , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[27]  Lutz H.-J. Lampe,et al.  Uncoordinated Distributed Space-Time Trellis Coding , 2006, 2006 IEEE International Conference on Communications.

[28]  S. Nader-Esfahani,et al.  Performance analysis of distributed space-time codes in amplify-and-forward mode , 2007, 2007 IEEE 8th Workshop on Signal Processing Advances in Wireless Communications.

[29]  Dongwoo Kim,et al.  End-to-end BER analysis for dual-hop OSTBC transmissions over Rayleigh fading channels , 2008, IEEE Transactions on Communications.

[30]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[31]  Mohamed-Slim Alouini,et al.  Digital Communication over Fading Channels: Simon/Digital Communications 2e , 2004 .

[32]  Yan Mei,et al.  Parallel wireless mobile relays with space-time modulations , 2004, IEEE Workshop on Statistical Signal Processing, 2003.

[33]  Alejandro Ribeiro,et al.  Symbol error probabilities for general Cooperative links , 2005, IEEE Trans. Wirel. Commun..

[34]  Helmut Bölcskei,et al.  Fading relay channels: performance limits and space-time signal design , 2004, IEEE Journal on Selected Areas in Communications.

[35]  A. Robert Calderbank,et al.  Space-Time block codes from orthogonal designs , 1999, IEEE Trans. Inf. Theory.

[36]  Abbas El Gamal,et al.  Capacity theorems for the relay channel , 1979, IEEE Trans. Inf. Theory.

[37]  Michael Gastpar,et al.  Cooperative strategies and capacity theorems for relay networks , 2005, IEEE Transactions on Information Theory.

[38]  Joseph Lipka,et al.  A Table of Integrals , 2010 .

[39]  Olivier Lévêque,et al.  Asymptotic Capacity of Multi-Level Amplify-and-Forward Relay Networks , 2007, 2007 IEEE International Symposium on Information Theory.

[40]  Ward Whitt,et al.  Numerical Inversion of Laplace Transforms of Probability Distributions , 1995, INFORMS J. Comput..

[41]  Siavash M. Alamouti,et al.  A simple transmit diversity technique for wireless communications , 1998, IEEE J. Sel. Areas Commun..

[42]  Xing Zhang,et al.  Multiuser Diversity in Multiuser Two-Hop Cooperative Relay Wireless Networks: System Model and Performance Analysis , 2009, IEEE Trans. Veh. Technol..

[43]  Aria Nosratinia,et al.  Coded cooperation in wireless communications: space-time transmission and iterative decoding , 2004, IEEE Transactions on Signal Processing.

[44]  Gregory W. Wornell,et al.  Cooperative diversity in wireless networks: Efficient protocols and outage behavior , 2004, IEEE Transactions on Information Theory.

[45]  Hesham El Gamal,et al.  Distributed space-time filtering for cooperative wireless networks , 2003, GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489).

[46]  Yindi Jing,et al.  Using Orthogonal and Quasi-Orthogonal Designs in Wireless Relay Networks , 2007, IEEE Transactions on Information Theory.

[47]  A. Hjorungnes,et al.  Amplify-and-Forward Space-Time Coded Cooperation via Incremental Relaying , 2007, 2007 4th International Symposium on Wireless Communication Systems.

[48]  Raviraj S. Adve,et al.  Improving amplify-and-forward relay networks: optimal power allocation versus selection , 2006, IEEE Transactions on Wireless Communications.

[49]  Panganamala Ramana Kumar,et al.  A network information theory for wireless communication: scaling laws and optimal operation , 2004, IEEE Transactions on Information Theory.

[50]  Gregory W. Wornell,et al.  Energy-efficient antenna sharing and relaying for wireless networks , 2000, 2000 IEEE Wireless Communications and Networking Conference. Conference Record (Cat. No.00TH8540).