Exact capacity and symbol error probability analysis of STBC in spatially correlated MIMO Nakagami fading channels

In this paper, we exploit the single-input single-output equivalency of orthogonal space-time block coding (STBC) in order to analyze its performance over nonselective Nakagami-m fading channels, in the presence of spatial correlation. More specifically, we derive the exact average symbol error probability (SEP) of coherent M-PSK and M-QAM, when such modulation schemes are used along with STBC over correlated Nakagami-m fading channels. Besides, for integer values of the Nakagami parameter m, closed-form expressions for the derived SEP formulae are provided. Moreover, in the latter case, we also derive exact closed-form expressions for the ergodic Shannon capacity of STBC, when used in the presence of spatially correlated Nakagami-m fading channels. Numerical results are provided to assess the robustness of STBC to spatial correlation, by analyzing the effects of specific correlation parameters on the achievable symbol error probability

[1]  T.A. Gulliver,et al.  On the probability of error for orthogonal space-time block codes over correlated Rayleigh and Nakagami-m fading channels , 2004, Proceedings of the IEEE 6th Circuits and Systems Symposium on Emerging Technologies: Frontiers of Mobile and Wireless Communication (IEEE Cat. No.04EX710).

[2]  Mohamed-Slim Alouini,et al.  An MGF-based performance analysis of generalized selection combining over Rayleigh fading channels , 2000, IEEE Trans. Commun..

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

[4]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[5]  G. Turin.  The characteristic function of Hermitian quadratic forms in complex normal variables , 1960 .

[6]  Hyundong Shin,et al.  Performance analysis of space-time block codes over keyhole Nakagami-m fading channels , 2004, IEEE Transactions on Vehicular Technology.

[7]  Brian D. Woerner,et al.  On the robustness of space-time block codes to spatial correlation , 2002, Vehicular Technology Conference. IEEE 55th Vehicular Technology Conference. VTC Spring 2002 (Cat. No.02CH37367).

[8]  P. Krishnaiah,et al.  Remarks on a Multivariate Gamma Distribution , 1961 .

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

[10]  Pierfrancesco Lombardo,et al.  MRC performance for binary signals in Nakagami fading with general branch correlation , 1999, IEEE Trans. Commun..

[11]  Guillem Femenias,et al.  BER performance of linear STBC from orthogonal designs over MIMO correlated Nakagami-m fading channels , 2004, IEEE Transactions on Vehicular Technology.

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

[13]  James R. Zeidler,et al.  Performance analysis of compact antenna arrays with MRC in correlated Nakagami fading channels , 2001, IEEE Trans. Veh. Technol..

[14]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[15]  Ali Abdi,et al.  A space-time correlation model for multielement antenna systems in mobile fading channels , 2002, IEEE J. Sel. Areas Commun..

[16]  Dariush Divsalar,et al.  Some new twists to problems involving the Gaussian probability integral , 1998, IEEE Trans. Commun..

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

[18]  Sonia Aissa,et al.  Shannon capacity of STBC in Rayleigh fading channels , 2004 .

[19]  Ranjan K. Mallik,et al.  The pseudo-Wishart distribution and its application to MIMO systems , 2003, IEEE Trans. Inf. Theory.

[20]  Robert C. Griffiths,et al.  Characterization of infinitely divisible multivariate gamma distributions , 1984 .

[21]  Leila Musavian,et al.  Closed-form capacity expressions of orthogonalized correlated MIMO channels , 2004, IEEE Communications Letters.