Performance Analysis Framework for Transmit Antenna Selection Strategies of Cooperative MIMO AF Relay Networks

The performance of three transmit antenna selection (TAS) strategies for dual-hop multiple-input-multiple-output (MIMO) ideal channel-assisted amplify-and-forward (AF) relay networks is analyzed. All channel fades are assumed to be Nakagami-m (integer m) fading. The source, relay, and destination are MIMO terminals. The optimal TAS and two suboptimal TAS strategies are considered. Since direct analysis of the end-to-end signal-to-noise ratio (e2e SNR) of the optimal TAS is intractable, a lower bound of the e2e SNR is derived. Its cumulative distribution function and the moment generating function (mgf) are derived and used to obtain the upper bounds of the outage probability and the average symbol error rate (SER). For the two suboptimal TAS strategies, we derive the exact mgfs of the e2e SNR and obtain accurate and efficient closed-form approximations for the outage probability and the average SER. The asymptotic outage probability and the average SER, which are exact in high SNR, are also derived, and they provide valuable insights into the system design parameters, such as diversity order and array gain. The exact outage probability, average SER, and their high SNR approximations are also derived for the optimal TAS when the direct path is ignored. The impact of outdated channel state information (CSI) on the performance of TAS is also studied. Specifically, the amount of performance degradation due to feedback delays is studied by deriving the asymptotic outage probability and the average SER and thereby quantifying the reduction of diversity order and array gain. Numerical and Monte Carlo simulation results are provided to analyze the system performance and verify the accuracy of our analysis.

[1]  J. Abate,et al.  Multi‐precision Laplace transform inversion , 2004 .

[2]  Yifei Yuan,et al.  IMT-advanced relay standards [WiMAX/LTE Update] , 2010, IEEE Communications Magazine.

[3]  Georgios B. Giannakis,et al.  Adaptive Modulation for multiantenna transmissions with channel mean feedback , 2004, IEEE Transactions on Wireless Communications.

[4]  Masoud Ardakani,et al.  Transmit Antenna Selection Strategies for Cooperative MIMO AF Relay Networks , 2010, 2010 IEEE Global Telecommunications Conference GLOBECOM 2010.

[5]  A. Erdélyi,et al.  Tables of integral transforms , 1955 .

[6]  L. Debnath.  Tables of Integral Transforms , 2012 .

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

[8]  Branka Vucetic,et al.  Performance analysis of beamforming in two hop amplify and forward relay networks with antenna correlation , 2009, IEEE Transactions on Wireless Communications.

[9]  Xing Zhang,et al.  Performance of Amplify-and-Forward MIMO Relay Channels with Transmit Antenna Selection and Maximal-Ratio Combining , 2009, 2009 IEEE Wireless Communications and Networking Conference.

[10]  Lei Cao,et al.  Diversity order analysis of a sub-optimal transmit antenna selection strategy for non-regenerative MIMO relay channel , 2009, 2009 IEEE 20th International Symposium on Personal, Indoor and Mobile Radio Communications.

[11]  Liesbet Van der Perre,et al.  Performance analysis of combined transmit-SC/receive-MRC , 2001, IEEE Trans. Commun..

[12]  Oguz Kucur,et al.  Error performance of joint transmit and receive antenna selection in two hop amplify-and-forward relay system over Nakagami-m fading channels , 2010, 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications.

[13]  M. Azizoglu,et al.  Impact of switching constraints on selection diversity performance , 1998, Conference Record of Thirty-Second Asilomar Conference on Signals, Systems and Computers (Cat. No.98CH36284).

[14]  George K. Karagiannidis,et al.  Amplify-and-Forward Relay Transmission with End-to-End Antenna Selection , 2010, 2010 IEEE Wireless Communication and Networking Conference.

[15]  Theodoros A. Tsiftsis,et al.  Performance analysis of amplify-and-forward MIMO relay networks with transmit antenna selection over Nakagami-m channels , 2010, 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications.

[16]  Dongwoo Kim,et al.  Outage probability of multi-hop MIMO relaying with transmit antenna selection and ideal relay gain over Rayleigh fading channels , 2009, IEEE Trans. Commun..

[17]  Vijay K. Bhargava,et al.  Efficient computation of MRC diversity performance in Nakagami fading channel with arbitrary parameters , 1998 .

[18]  Branka Vucetic,et al.  Error performance of maximal-ratio combining with transmit antenna selection in flat Nakagami-m fading channels , 2006, IEEE Transactions on Wireless Communications.

[19]  Herbert A. David,et al.  Order Statistics , 2011, International Encyclopedia of Statistical Science.

[20]  Yang Yang,et al.  Relay technologies for WiMax and LTE-advanced mobile systems , 2009, IEEE Communications Magazine.

[21]  Lei Cao,et al.  Asymptotic Performance of Two-Hop Amplify-and-Forward MIMO Relaying with Transmit Antenna Selection , 2010, 2010 IEEE Global Telecommunications Conference GLOBECOM 2010.

[22]  Lei Cao,et al.  Transmit Antenna Selection Strategy in Amplify-and-Forward MIMO Relaying , 2009, 2009 IEEE Wireless Communications and Networking Conference.

[23]  John S. Thompson,et al.  MIMO Configurations for Relay Channels: Theory and Practice , 2007, IEEE Transactions on Wireless Communications.

[24]  Joachim Speidel,et al.  Outage-Optimal Transmit Antenna Selection for Cooperative Decode-and-Forward Systems , 2009, VTC Spring 2009 - IEEE 69th Vehicular Technology Conference.

[25]  G. A. Mack,et al.  Order Statistics (2nd Ed.) , 1983 .

[26]  Chintha Tellambura,et al.  Error rates for Nakagami-m fading multichannel reception of binary and M-ary signals , 2001, IEEE Trans. Commun..

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

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

[29]  Dongwoo Kim,et al.  BER Analysis of Dual-Hop Amplify-and-Forward MIMO Relaying with Best Antenna Selection in Rayleigh Fading Channels , 2008, IEICE Trans. Commun..

[30]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

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

[32]  Jeffrey H. Reed,et al.  An Efficient Method for Evaluating Information Outage Probability and Ergodic Capacity of OSTBC System , 2008, IEEE Communications Letters.

[33]  Robert W. Heath,et al.  Nonregenerative MIMO Relaying With Optimal Transmit Antenna Selection , 2008, IEEE Signal Processing Letters.

[34]  Lei Cao,et al.  Performance analysis of two-hop amplify-and-forward MIMO relaying with transmit antenna selection , 2010, 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications.

[35]  Masoud Ardakani,et al.  Feedback Delay Effect on Dual-Hop MIMO AF Relaying with Antenna Selection , 2010, 2010 IEEE Global Telecommunications Conference GLOBECOM 2010.

[36]  Georgios B. Giannakis,et al.  A simple and general parameterization quantifying performance in fading channels , 2003, IEEE Trans. Commun..

[37]  H. A. David,et al.  Order Statistics (2nd ed). , 1981 .