Receive maximal-ratio combining with outdated arbitrary transmit antenna selection in Nakagami-m fading

The use of transmit antenna selection algorithms in multiple-antenna systems enables significant reduction in implementation cost and complexity while maintaining acceptable performance. An attractive and quite flexible selection algorithm is to allow the receiver to pick any of the transmit antennas that can satisfy a predetermined performance target. Such an algorithm is referred to as the arbitrarily ordered transmit antenna selection algorithm. However, the effectiveness of transmit antenna selection is decreased by several propagation impairments over the feedback channel from the receiver to the transmitter. Of these impairments, the feedback channel time delay may impose a significant impact on the achieved performance. This paper aims to investigate the impact of this time delay on the performance of receive maximal-ratio combining (MRC) diversity employing the arbitrarily ordered transmit antenna selection algorithm. In order to obtain quantitative measures for this impact, new expressions for various performance criteria are obtained by using the new derived formulas for the probability density function (pdf) and the moment generating function (MGF) of the combined signal-to-noise ratio (SNR). Numerical and simulation results are presented to illustrate the effect of delayed (i.e. outdated) feedback information on the system performance for various transmit antenna selection scenarios.

[1]  Sotirios K. Goudos,et al.  Antenna Selection in MIMO Systems using Evolutionary Algorithms , 2022 .

[2]  Christoff K. Pauw,et al.  Probability of error for selection diversity as a function of dwell time , 1989, IEEE Trans. Commun..

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

[4]  Moe Z. Win,et al.  Reduced-complexity transmit/receive-diversity systems , 2003, IEEE Trans. Signal Process..

[5]  R C Robertson,et al.  Digital Communications Over Fading Channels , 2004 .

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

[7]  Mohamed-Slim Alouini,et al.  Digital Communications Over Fading Channels (M.K. Simon and M.S. Alouini; 2005) [Book Review] , 2008, IEEE Transactions on Information Theory.

[8]  Rafael P. Torres,et al.  Space–Time Code Selection for Transmit Antenna Diversity Systems , 2008 .

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

[10]  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).

[11]  Rafael P. Torres Jiménez,et al.  Space–Time Code Selection for Transmit Antenna Diversity Systems , 2008, IEEE Transactions on Vehicular Technology.

[12]  Moe Z. Win,et al.  Capacity of MIMO systems with antenna selection , 2001, IEEE Transactions on Wireless Communications.

[13]  Moe Z. Win,et al.  Capacity of MIMO systems with antenna selection , 2005 .

[14]  W. C. Jakes,et al.  Microwave Mobile Communications , 1974 .

[15]  James A. Ritcey,et al.  Performance analysis of generalized selection combining with switching constraints , 2000, IEEE Communications Letters.

[16]  Andreas F. Molisch,et al.  MIMO systems with antenna selection - an overview , 2003, Radio and Wireless Conference, 2003. RAWCON '03. Proceedings.

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

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

[19]  D. F. Hays,et al.  Table of Integrals, Series, and Products , 1966 .

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

[21]  Guillem Femenias,et al.  MGF-based performance analysis of selection diversity with switching constraints in nakagami fading , 2006, IEEE Transactions on Wireless Communications.

[22]  David Gesbert,et al.  From theory to practice: an overview of MIMO space-time coded wireless systems , 2003, IEEE J. Sel. Areas Commun..

[23]  Jia Tang,et al.  Transmit selection diversity with maximal-ratio combining for multicarrier DS-CDMA wireless networks over Nakagami-m fading channels , 2006, IEEE Journal on Selected Areas in Communications.

[24]  Jack H. Winters,et al.  On the Capacity of Radio Communication Systems with Diversity in a Rayleigh Fading Environment , 1987, IEEE J. Sel. Areas Commun..

[25]  John G. Proakis,et al.  Digital Communications , 1983 .

[26]  J. Craig.  A new, simple and exact result for calculating the probability of error for two-dimensional signal constellations , 1991, MILCOM 91 - Conference record.

[27]  James K. Cavers,et al.  Switching Rate and Dwell Time in M-of-N Selection Diversity , 2007, IEEE Transactions on Wireless Communications.