Performance Analysis of MIMO Systems with Antenna Selection over Generalized κ − μ Fading Channels

Abstract In this paper, we derive closed form expression for outage probability and infinite series expressions for exact and approximate symbol error rate (SER) and capacity of multiple input multiple output systems with transmit antenna selection (TAS) over generalized independent and identically distributed κ − μ fading channels. The results are applicable to systems employing maximal ratio combining or selection combining at the receiver. Furthermore, by taking special cases, we present closed form expressions for outage probability of TAS systems over Nakagami-m and Rayleigh fading channels. The closed form expressions of outage probability for Nakagami-m and Rayleigh fading are computationally efficient than the expressions reported in the existing literature. The expressions of SER and channel capacity are in the form of sum of fast converging infinite series for all values of fading parameters. The analytical results are validated by comparing them with Monte Carlo simulation results for different values of fading parameters. The results of channel capacity shows that increased strength of line of sight component and decreased severity of fading degrades the channel capacity.

[1]  Reinaldo A. Valenzuela,et al.  V-BLAST: an architecture for realizing very high data rates over the rich-scattering wireless channel , 1998, 1998 URSI International Symposium on Signals, Systems, and Electronics. Conference Proceedings (Cat. No.98EX167).

[2]  Won Mee Jang Diversity Order and Coding Gain of General-Order Rectangular QAM in MIMO Relay With TAS/MRC in Nakagami- $m$ Fading , 2014, IEEE Transactions on Vehicular Technology.

[3]  A. Goldsmith,et al.  Capacity of Rayleigh fading channels under different adaptive transmission and diversity-combining techniques , 1999, IEEE Transactions on Vehicular Technology.

[4]  Michel Daoud Yacoub,et al.  The α-μ distribution: a general fading distribution , 2002, PIMRC.

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

[6]  Aria Nosratinia,et al.  Capacity of MIMO Channels With Antenna Selection , 2007, IEEE Transactions on Information Theory.

[7]  M. Hadzialic,et al.  Outage and symbol error probability performance of L-branch Maximal-Ratio combiner for generalized κ − μ fading , 2008, 2008 50th International Symposium ELMAR.

[8]  A.F. Molisch,et al.  MIMO systems with antenna selection , 2004, IEEE Microwave Magazine.

[9]  Daniel Benevides da Costa,et al.  MIMO multi-relay networks with TAS/MRC and TAS/SC in Weibull fading channels , 2012, 2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications - (PIMRC).

[10]  Ali Ghrayeb,et al.  Space shift keying modulation for MIMO channels , 2009, IEEE Transactions on Wireless Communications.

[11]  Rick S. Blum,et al.  On optimum MIMO with antenna selection , 2002, IEEE Communications Letters.

[12]  Oguz Kucur,et al.  Performance Analysis of Joint Single Transmit and Receive Antenna Selection in Nakagami-m Fading Channels , 2011, IEEE Communications Letters.

[13]  A. Robert Calderbank,et al.  MIMO Wireless Communications , 2007 .

[14]  Luc Vandendorpe,et al.  Outage Probability and Energy Efficiency of Cooperative MIMO with Antenna Selection , 2013, IEEE Transactions on Wireless Communications.

[15]  Aria Nosratinia,et al.  Antenna selection in MIMO systems , 2004, IEEE Communications Magazine.

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

[17]  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.

[18]  Oguz Kucur,et al.  Performance analysis of joint single transmit and receive antenna selection in non-identical nakagami-m fading channels , 2011, IET Commun..

[19]  Predrag Ivanis,et al.  Ergodic Capacity for TAS/MRC Spectrum Sharing Cognitive Radio , 2012, IEEE Communications Letters.

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

[21]  B. Sundar Rajan,et al.  Large MIMO Systems , 2014 .

[22]  Daniel Benevides da Costa,et al.  Unified Analysis of Transmit Antenna Selection in MIMO Multirelay Networks , 2013, IEEE Transactions on Vehicular Technology.

[23]  Juan Manuel Romero-Jerez,et al.  Performance of Selection Combining Diversity in $\eta{-}\mu$ Fading Channels With Integer Values of $\mu$ , 2015, IEEE Transactions on Vehicular Technology.

[24]  Juan Manuel Romero-Jerez,et al.  Performance of TAS/MRC Wireless Systems Under Hoyt Fading Channels , 2013, IEEE Transactions on Wireless Communications.

[25]  Lajos Hanzo,et al.  The Effective Throughput of MISO Systems Over 1 κ – μ Fading Channels , 2013 .

[26]  S. R. Meraji Performance Analysis of Transmit Antenna Selection in Nakagami-m Fading Channels , 2007, Wirel. Pers. Commun..

[27]  M.D. Yacoub,et al.  The κ-μ distribution and the η-μ distribution , 2007, IEEE Antennas and Propagation Magazine.

[28]  Abbas Jamalipour,et al.  Wireless communications , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[29]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

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

[31]  Marco Chiani,et al.  New exponential bounds and approximations for the computation of error probability in fading channels , 2003, IEEE Trans. Wirel. Commun..

[32]  Branka Vucetic,et al.  Analysis of transmit antenna selection/maximal-ratio combining in Rayleigh fading channels , 2005, IEEE Transactions on Vehicular Technology.

[33]  M. J. Gans,et al.  On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

[34]  P. R. Sahu,et al.  Performance of L-Branch MRC Receiver in η-μ and κ-μ Fading Channels for QAM Signals , 2012, IEEE Wireless Communications Letters.

[35]  P. R. Sahu,et al.  Performance of an L-SC Receiver over kappa-mu and eta-mu Fading Channels , 2010, 2010 IEEE International Conference on Communications.

[36]  Lajos Hanzo,et al.  The Effective Throughput of MISO Systems Over Kappa - μ Fading Channels , 2014, IEEE Trans. Veh. Technol..

[37]  H. N. Nagaraja,et al.  Order Statistics, Third Edition , 2005, Wiley Series in Probability and Statistics.

[38]  Chintha Tellambura,et al.  Distribution functions of selection combiner output in equally correlated Rayleigh, Rician, and Nakagami-m fading channels , 2004, IEEE Transactions on Communications.