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Achievable Rate Regions for Orthogonally Multiplexed MIMO Broadcast Channels with Multi-Dimensional Modulation

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DOI: 10.4236/ijcns.2010.31001    4,528 Downloads   8,677 Views  

ABSTRACT

In this work, we consider a multi-antenna channel with orthogonally multiplexed non-cooperative users, and present its achievable information rate regions with and without channel knowledge at the transmitter. With an informed transmitter, we maximize the rate for each user. With an uninformed transmitter, we consider the optimal power allocation that causes the fastest convergence to zero of the fraction of channels whose mutual information is less than any given rate as the transmitter channel knowledge converges to zero. We assume a deterministic space and time dispersive multipath channel with multiple transmit and receive antennas, generating an orthogonally multiplexed Multiple-Input Multiple-Output (MIMO) broadcast system. Under limited transmit power; we consider different user specific space-time modulation formats that represent assignments of signal dimensions to transmit antennas. For the two-user orthogonally multiplexed MIMO broadcast channels, the achievable rate regions, with and without transmitter channel knowledge, evolve from a triangular region at low SNR to a rectangular region at high SNR. We also investigate the maximum sum rate for these regions and derive the associated power allocations at low and high SNR. Furthermore, we present numerical results for a two-user system that illustrate the effects of channel knowledge at the transmitter, the multi-dimensional space-time modulation format and features of the multipath channel.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

M. KASSOUF and H. LEIB, "Achievable Rate Regions for Orthogonally Multiplexed MIMO Broadcast Channels with Multi-Dimensional Modulation," International Journal of Communications, Network and System Sciences, Vol. 3 No. 1, 2010, pp. 1-18. doi: 10.4236/ijcns.2010.31001.

References

[1] E. Telatar, “Capacity of multi-antenna Gaussian channels,” European Transactions on Telecommunications, Vol. 10, No. 6, pp. 585–595, November-December 1999.
[2] G. G. Raleigh and J. M. Cioffi, “Spatio-temporal coding for wireless communication,” IEEE Transactions on Com- munications, Vol. 46, No. 3, pp. 357–366, March 1998.
[3] G. G. Raleigh and V. K. Jones, “Multivariate modulation and coding for wireless communication,” IEEE Journal on Selected Areas in Communications, Vol. 17, No. 5, pp. 851–866, May 1999.
[4] H. B?lcskei, D. Gesbert, and A. J. Paulraj, “On the capacity of OFDM-based spatial multiplexing systems,” IEEE Transactions on Communications, Vol. 50, No. 2, pp. 225–234, February 2002.
[5] W. Bliss, K. W. Forsythe, A. O. Hero III, and A. F. Yegulalp, “Environmental issues for MIMO capacity,” IEEE Transactions on Signal Processing, Vol. 50, No. 9, pp. 2128–2142, September 2002.
[6] C-N. Chuah, D. N. C. Tse, J. M. Kahn, and R. A. Valenzuela, “Capacity scaling in MIMO wireless systems under correlated fading,” IEEE Transactions on Information Theory, Vol. 48, No. 3, pp. 637–650, March 2002.
[7] T. M. Cover, “Broadcast channels,” IEEE Transactions on Information Theory, Vol. 18, No. 1, pp. 2–14, January 1972.
[8] T. M. Cover, “Comments on broadcast channels,” IEEE Transactions on Information Theory, Vol. 44, No. 6, pp. 2524–2530, October 1998.
[9] L. Li and A. J. Goldsmith, “Capacity and optimal resource allocation for fading broadcast channels - Part I: Ergodic capacity,” IEEE Transactions on Information Theory, Vol. 47, No. 3, pp. 1083–1102, March 2001.
[10] L. Li and A. J. Goldsmith, “Capacity and optimal resource allocation for fading broadcast channels - Part II: Outage capacity,” IEEE Transactions on Information Theory, Vol. 47, No. 3, pp. 1103–1127, March 2001.
[11] G. Caire and S. Shamai, “On the multiple antenna broadcast channel,” in Thirty-Fifth Asilomar Conference on Signals, Systems and Computers, Vol. 2, pp. 1188–1193, November 2001.
[12] M. H. M. Costa, “Writing on dirty paper,” IEEE Transactions on Information Theory, Vol. IT-29, No. 3, pp. 439–441, May 1983.
[13] G. Caire and S. Shamai (Shitz), “On the achievable throughput of a multiantenna Gaussian broadcast channel,” IEEE Transactions on Information Theory, Vol. 49, No. 7, pp. 1691–1706, July 2003.
[14] W. Yu and J. M. Cioffi, “Sum capacity of Gaussian vector broadcast channels,” IEEE Transactions on Information Theory, Vol. 50, No. 9, pp. 1875–1892, September 2004.
[15] P. Viswanath and D. N. C. Tse, “Sum capacity of the vector Gaussian broadcast channel and uplink-downlink duality,” IEEE Transactions on Information Theory, Vol. 49, No. 8, pp. 1912–1921, August 2003.
[16] S. Vishwanath, N. Jindal, and A. Goldsmith, “Duality, achievable rates and sum-rate capacity of Gaussian MIMO broadcast channels,” IEEE Transactions on Information Theory, Vol. 49, No. 10, pp. 2658–2668, October 2003.
[17] S.Vishwanath, N. Jindal, and A. Goldsmith, “On the capacity of multiple input multiple output broadcast channels,” in IEEE International Conference on Communications (ICC), Vol. 3, pp. 1444–1450, 2002.
[18] A. Goldsmith, S. A. Jafar, N. Jindal, and S. Vishwanath, “Capacity limits of MIMO channels,” IEEE Journal on Selected Areas in Communications, Vol. 21, No. 5, pp. 684–702, June 2003.
[19] N. Jindal, S. Vishwanath, and A. Goldsmith, “On the duality of Gaussian multiple-access and broadcast chan- nels,” IEEE Transactions on Information Theory, Vol. 50, No. 5, pp. 768–783, May 2004.
[20] H. Weingarten, Y. Steinberg, and S. Shamai (Shitz), “The capacity region of the Gaussian multiple-input multiple- output broadcast channel,” IEEE Transactions on Information Theory, Vol. 52, No. 9, pp. 3936–3964, September 2006.
[21] M. Sharif and B. Hassibi, “A comparison of time-sharing, DPC, and beamforming for MIMO broadcast channels with many users,” IEEE Transactions on Communications, Vol. 55, No. 1, pp. 11–15, January 2007.
[22] P. Tejera, W. Utschick, J. A. Nossek, and G. Bauch, “Rate balancing in multiuser MIMO OFDM systems,” IEEE Transactions on Communications, Vol. 57, No. 5, pp. 1370–1380, May 2009.
[23] M. Kassouf and H. Leib, “Shannon capacity regions for orthogonally multiplexed MIMO broadcast channels with informed transmitters,” in IEEE Wireless Communications and Networking Conference (WCNC), Vol. 1, pp. 357–362, 2004.
[24] M. Kassouf and H. Leib, “The capacity region of orthogonally multiplexed MIMO broadcast channels for open and closed loop systems,” in Proceedings of Conference on Information Sciences and Systems (CISS), March 2004.
[25] 3GPP TR 25.996 V 7.0.0, “Spatial channel model for multiple input multiple output (MIMO) simulations (Re- lease 7),” Technical specification group radio access network, 3rd Generation Partnership Project, June 2007.
[26] S. D. Blostein and H. Leib, “Multiple antenna systems: Their role and impact in future wireless access,” IEEE Communications Magazine, Vol. 41, No. 7, pp. 94–101, July 2003.
[27] V. Tarokh, N. Seshadri, and A. R. Calderbank, “Space- time codes for high data rate wireless communication: Performance criterion and code construction,” IEEE Transactions on Information Theory, Vol. 44, No. 2, pp. 744–765, March 1998.
[28] S. M. Alamouti, “A simple transmit diversity technique for wireless communications,” IEEE Journal on Selected Areas in Communications, Vol. 16, No. 8, pp. 1451–1458, October 1998.
[29] R. T. Derryberry, S. D. Gray, D. M. Ionescu, G. Mandyam, and B. Raghothaman, “Transmit diversity in 3G CDMA systems,” IEEE Communications Magazine, Vol. 40, No. 4, pp. 68–75, April 2002.
[30] R. A. Soni and R. M. Buehrer, “On the performance of open-loop transmit diversity techniques for IS-2000 systems: A comparative study,” IEEE Transactions on Wireless Communications, Vol. 3, No. 5, pp. 1602–1615, September 2004.
[31] T. M. Cover and J. A. Thomas, “Elements of information theory,” John Wiley & Sons, Inc., 1991.
[32] M. Kassouf and H. Leib, “Information rates for multi- dimensional modulation over multiple antenna wireless channels,” European Transactions on Telecommunications, Vol. 20, No. 5, pp. 463–481, August 2009.
[33] D. A. Harville, “Matrix algebra from a statistician’s perspective,” Springer-Verlag New York, Inc., 1997.
[34] R. Webster, Convexity, Oxford University Press INC., New York, 1994.
[35] G. J. Foschini and M. J. Gans, “On limits of wireless communications in a fading environment when using multiple antennas,” IEEE Wireless Personal Communications, Vol. 6, No. 3, pp. 311–335, March 1998.
[36] N. Jindal, W. Rhee, S. Vishwanath, S. A. Jafar, and A. Goldsmith, “Sum power iterative water-filling for multiantenna Gaussian broadcast channels,” IEEE Transactions on Information Theory, Vol. 51, No. 4, pp. 1570–1580, April 2005.
[37] I. S. Gradshteyn and I. M. Ryzhik, “Table of integrals, series, and products,” Academic Press, corrected and enlarged edition, 1980.

  
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