Analysis of transmit antenna selection/maximal-ratio combining in Rayleigh fading channels

In this paper, we investigate a multiple-input-multiple-output (MIMO) scheme combining transmit antenna selection and receiver maximal-ratio combining (the TAS/MRC scheme). In this scheme, a single transmit antenna, which maximizes the total received signal power at the receiver, is selected for uncoded transmission. The closed-form outage probability of the system with transmit antenna selection is presented. The bit error rate (BER) of the TAS/MRC scheme is derived for binary phase-shift keying (BPSK) in flat Rayleigh fading channels. The BER analysis demonstrates that the TAS/MRC scheme can achieve a full diversity order at high signal-to-noise ratios (SNRs), as if all the transmit antennas were used. The average SNR gain of the TAS/MRC is quantified and compared with those of uncoded receiver MRC and space-time block codes (STBCs). The analytical results are verified by simulation. It is shown that the TAS/MRC scheme outperforms some more complex space-time codes of the same spectral efficiency. The cost of the improved performance is a low-rate feedback channel. We also show that channel estimation errors based on pilot symbols have no impact on the diversity order over quasi-static fading channels.

[1]  P. Hahn.  Theoretical Diversity Improvement in Multiple Frequency Shift Keying , 1962 .

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

[3]  M. Kavehrad,et al.  Performance of low-complexity channel coding and diversity for spread spectrum in indoor, wireless communication , 1985, AT&T Technical Journal.

[4]  Laurence B. Milstein,et al.  Comparison of diversity combining techniques for Rayleigh-fading channels , 1996, IEEE Trans. Commun..

[5]  Gerard J. Foschini,et al.  Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas , 1996, Bell Labs Technical Journal.

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

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

[8]  Sergio Verdu,et al.  Multiuser Detection , 1998 .

[9]  Laurence B. Milstein,et al.  Average SNR of a generalized diversity selection combining scheme , 1999, IEEE Communications Letters.

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

[11]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[12]  Ranjan K. Mallik,et al.  Canonical expressions for the error probability performance of M-ary modulation with hybrid selection/maximal-ratio combining in Rayleigh fading , 1999, WCNC. 1999 IEEE Wireless Communications and Networking Conference (Cat. No.99TH8466).

[13]  Moe Z. Win,et al.  Analysis of hybrid selection/maximal-ratio combining in Rayleigh fading , 1999, 1999 IEEE International Conference on Communications (Cat. No. 99CH36311).

[14]  Arogyaswami Paulraj,et al.  Selecting an optimal set of transmit antennas for a low rank matrix channel , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[15]  Zoran Zvonar,et al.  Antenna diversity combining schemes for WCDMA systems in fading multipath channels , 2000, Vehicular Technology Conference Fall 2000. IEEE VTS Fall VTC2000. 52nd Vehicular Technology Conference (Cat. No.00CH37152).

[16]  Moe Z. Win,et al.  Virtual branch analysis of symbol error probability for hybrid selection/maximal-ratio combining in Rayleigh fading , 2001, IEEE Trans. Commun..

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

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

[19]  Rick S. Blum,et al.  Improved space-time convolutional codes for quasi-static slow fading channels , 2002, IEEE Trans. Wirel. Commun..

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

[21]  Branka Vucetic,et al.  Space-time trellis codes for 4-PSK with three and four transmit antennas in quasi-static flat fading channels , 2002, IEEE Communications Letters.

[22]  Ran Gozali,et al.  Space-Time Codes for High Data Rate Wireless Communications , 2002 .

[23]  Branka Vucetic,et al.  Space-time trellis codes with two, three and four transmit antennas in quasi-static flat fading channels , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[24]  Marvin K. Simon.  A moment generating function (MGF)-based approach for performance evaluation of space-time coded communication systems , 2002, Wirel. Commun. Mob. Comput..

[25]  Zhuo Chen,et al.  Space-time trellis codes for 8-PSK with two, three and four transmit antennas in quasi-static flat fading channels , 2002 .

[26]  Arogyaswami Paulraj,et al.  MIMO antenna subset selection with space-time coding , 2002, IEEE Trans. Signal Process..

[27]  Branka Vucetic,et al.  Space-Time Coding , 2003 .

[28]  Ali Ghrayeb,et al.  Performance analysis of MIMO systems with antenna selection over quasi-static fading channels , 2003, IEEE Trans. Veh. Technol..

[29]  Branka Vucetic,et al.  Space-time trellis codes with transmit antenna selection , 2003 .

[30]  D. G. Brennan,et al.  Linear diversity combining techniques , 2003 .

[31]  Zhuo Chen,et al.  Performance of Alamouti scheme with transmit antenna selection , 2003 .

[32]  Chintha Tellambura,et al.  A Moment-Generating Function (MGF) Derivative-Based Unified Analysis of Incoherent Diversity Reception of M-ary Orthogonal Signals over Independent and Correlated Fading Channels , 2003, Int. J. Wirel. Inf. Networks.

[33]  Arogyaswami Paulraj,et al.  Performance bounds for antenna selection in MIMO systems , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[34]  Branka Vucetic,et al.  Space-Time Coding , 2003 .

[35]  Hamid Aghvami,et al.  4-PSK space-time trellis codes with five and six transmit antennas for slow Rayleigh fading channels , 2003 .

[36]  Arogyaswami Paulraj,et al.  Receive antenna selection for MIMO flat-fading channels: theory and algorithms , 2003, IEEE Trans. Inf. Theory.

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

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