On outage and error rate analysis of the ordered V-BLAST

Outage and error rate performance of the ordered BLAST with more than 2 transmit antennas is evaluated for i.i.d. Rayleigh fading channels. A number of lower and upper bounds on the 1st step outage probability at any SNR are derived, which are further used to obtain accurate approximations to average block and total error rates. For m Tx antennas, the effect of the optimal ordering at the first step is an m-fold SNR gain. As m increases to infinity, the BLER decreases to zero, which is a manifestation of the space-time autocoding effect in the V-BLAST. While the sub-optimal ordering (based on the before-projection SNR) suffers a few dB SNR penalty compared to the optimal one, it has a lower computational complexity and a 3 dB SNR gain compared to the unordered V-BLAST and can be an attractive solution for low-complexity/low-energy systems. Uncoded D-BLAST exhibits the same outage and error rate performance as that of the V-BLAST. An SNR penalty of the linear receiver interfaces compared to the BLAST is also analytically evaluated.

[1]  Victoria Kostina,et al.  On optimum power allocation for the V-BLAST , 2007, IEEE Transactions on Communications.

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

[3]  Thomas L. Marzetta,et al.  Space-Time autocoding , 2001, IEEE Trans. Inf. Theory.

[4]  Huaiyu Dai,et al.  On the Diversity-Multiplexing Tradeoff for Ordered SIC Receivers Over MIMO Channels , 2006, 2006 IEEE International Conference on Communications.

[5]  Y. Tong,et al.  Convex Functions, Partial Orderings, and Statistical Applications , 1992 .

[6]  Karsten P. Ulland,et al.  Vii. References , 2022 .

[7]  François Gagnon,et al.  V-BLAST without optimal ordering: analytical performance evaluation for Rayleigh fading channels , 2006, IEEE Transactions on Communications.

[8]  S. Loyka,et al.  On Optimization of the V-BLAST Algorithm , 2006, 2006 International Zurich Seminar on Communications.

[9]  D. Varberg.  Convex Functions , 1973 .

[10]  Lizhong Zheng,et al.  Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels , 2003, IEEE Trans. Inf. Theory.

[11]  J.E. Mazo,et al.  Digital communications , 1985, Proceedings of the IEEE.

[12]  David G. Messerschmitt,et al.  DIGITAL COMMUNICATIONS , 2013 .

[13]  F. Gagnon,et al.  On Accuracy and Efficiency of Monte-Carlo BER Simulations for Fading Channels , 2007, 2007 International Symposium on Signals, Systems and Electronics.

[14]  François Gagnon,et al.  Performance analysis of the V-BLAST algorithm: an analytical approach , 2004, IEEE Transactions on Wireless Communications.

[15]  Jinho Choi,et al.  Nulling and cancellation detector for MIMO and its application to multistage receiver for coded signals: performance and optimization , 2006, IEEE Transactions on Wireless Communications.

[16]  Sergey Loyka.  Statistical analysis of the 2/spl times/n V-BLAST algorithm over Rayleigh fading channel , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[17]  François Gagnon,et al.  On BER analysis of the BLAST without optimal ordering over Rayleigh fading channel , 2004, IEEE 60th Vehicular Technology Conference, 2004. VTC2004-Fall. 2004.

[18]  Reinaldo A. Valenzuela,et al.  Simplified processing for high spectral efficiency wireless communication employing multi-element arrays , 1999, IEEE J. Sel. Areas Commun..

[19]  Constantinos B. Papadias,et al.  Analysis and performance of some basic space-time architectures , 2003, IEEE J. Sel. Areas Commun..

[20]  Narayan Prasad,et al.  Analysis of decision feedback detection for MIMO Rayleigh-fading channels and the optimization of power and rate allocations , 2004, IEEE Transactions on Information Theory.

[21]  Yi Jiang,et al.  Asymptotic performance analysis of V-BLAST , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..