Precoded DOSTBC over Rayleigh Channels

Bhatnagar, Manav R.; Hjørungnes, Are; Song, Lingyang

doi:https://doi.org/10.1155/2007/16438

Journal of Electrical and Computer Engineering

On this page

Abstract References Copyright Related Articles

Research Letter | Open Access

Volume 2007 | Article ID 016438 | https://doi.org/10.1155/2007/16438

Precoded DOSTBC over Rayleigh Channels

Manav R. Bhatnagar,¹Are Hjørungnes,¹and Lingyang Song¹

Academic Editor: Theodoros A. Tsiftsis

Received17 Aug 2007

Accepted09 Oct 2007

Published22 Nov 2007

Abstract

Differential orthogonal space-time block codes (DOSTBC) sent over correlated Rayleigh fading channels are considered in this paper. Approximate expressions for the symbol error rate (SER) are derived for DOSTBC with M-PSK, M-PAM, and M-QAM constellations assuming arbitrary correlation between the transmit and receive antennas. A full memoryless precoder is designed to improve the performance of the DOSTBC over correlated Rayleigh MIMO channels. The proposed precoder design differs from the previous work: (1) our precoder design considers arbitrary correlation in the channels, whereas the previously proposed precoder design considers only transmit correlations in the Kronecker correlation model; (2) the proposed precoder is based on minimizing proposed SER, whereas the previously proposed precoder is based on minimizing the Chernoff bound of approximate SER; (3) we propose precoder design for DOSTBC with M-PSK, M-PAM, and M-QAM constellations, whereas the previously proposed precoder works for DOSTBC with M-PSK only. Additionally, the proposed precoded DOSTBC outperforms the conventional eigenbeamforming-based precoded DOSTBC for the Kronecker model with only transmit correlation.

References

B. L. Hughes, “Differential space-time modulation,” IEEE Transactions on Information Theory, vol. 46, no. 7, pp. 2567–2578, 2000.
View at: Publisher Site | Google Scholar
V. Tarokh, H. Jafarkhani, and A. R. Calderbank, “Space-time block codes from orthogonal designs,” IEEE Transactions on Information Theory, vol. 45, no. 5, pp. 1456–1467, 1999.
View at: Publisher Site | Google Scholar | MathSciNet
M. Tao and R. S. Cheng, “Differential space-time block codes,” in Proceedings of IEEE Global Telecommunicatins Conference GLOBECOM'01, vol. 2, pp. 1098–1102, San Antonio, Tex, USA, November 2001.
View at: Google Scholar
X. Cai and G. B. Giannakis, “Differential space-time modulation with eigen-beamforming for correlated MIMO fading channels,” IEEE Transactions on Signal Processing, vol. 54, no. 4, pp. 1279–1288, 2006.
View at: Publisher Site | Google Scholar
A. Paulraj, R. Nabar, and D. Gore, Introduction to Space-Time Wireless Communications, Cambridge University Press, Cambridge, UK, 2003.
View at: Google Scholar
H. Özcelik, M. Herdin, W. Weichselberger, J. Wallace, and E. Bonek, “Deficiencies of ‘Kronecker’ MIMO radio channel model,” Electronics Letters, vol. 39, no. 16, pp. 1209–1210, 2003.
View at: Publisher Site | Google Scholar
E. G. Larsson and P. Stocia, Space-Time Block Coding for Wireless Communications, Cambridge University Press, Cambridge, UK, 2003.
View at: Google Scholar
R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, UK, 1991.
View at: Google Scholar
M. R. Bhatnagar, A. Hjørungnes, and L. Song, “Differential coding for non-orthogonal space-time block codes with non-unitary constellations in arbitrarily correlated Rayleigh channels,” to appear in IEEE Transactions on Wireless Communications.
View at: Google Scholar
X. Li, T. Luo, G. Yue, and C. Yin, “A squaring method to simplify the decoding of orthogonal space-time block codes,” IEEE Transactions on Communications, vol. 49, no. 10, pp. 1700–1703, 2001.
View at: Publisher Site | Google Scholar
P. Garg, R. K. Mallik, and H. M. Gupta, “Performance analysis of space-time coding with imperfect channel estimation,” IEEE Transactions on Wireless Communications, vol. 4, no. 1, pp. 257–265, 2005.
View at: Publisher Site | Google Scholar
P. Garg, R. K. Mallik, and H. M. Gupta, “Exact error performance of square orthogonal space-time block coding with channel estimation,” IEEE Transactions on Communications, vol. 54, no. 3, pp. 430–437, 2006.
View at: Publisher Site | Google Scholar
M. K. Simon and M. S. Alouini, Digital Communication over Fading Channels: A Unified Approach to Performance Analysis, John Wiley & Sons, New York, NY, USA, 2000.
View at: Google Scholar
D. G. Luenberger, Introduction to Linear and Nonlinear Programming, Addison-Wesley, Reading, Mass, USA, 1973.
View at: Google Scholar
A. Hjørungnes and D. Gesbert, “Complex-valued matrix differentiation: techniques and key results,” IEEE Transactions on Signal Processing, vol. 55, no. 6, pp. 2740–2746, 2007.
View at: Publisher Site | Google Scholar
J. R. Magnus and H. Neudecker, Matrix Differential Calculus with Application in Statistics and Econometrics, John Wiley & Sons, New York, NY, USA, 1988.
View at: Google Scholar
A. Hjørungnes and D. Gesbert, “Precoding of orthogonal space-time block codes in arbitrarily correlated MIMO channels: iterative and closed-form solutions,” IEEE Transactions on Wireless Communications, vol. 6, no. 3, pp. 1072–1082, 2007.
View at: Publisher Site | Google Scholar

Copyright

Copyright © 2007 Manav R. Bhatnagar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

PDF Download Citation Order printed copies

Views

440

Downloads

824

Citations