Abstract
The analytical upper bound and lower bound on the ergodic capacity of polarized distributed antenna system and their relation with antenna polarization on Rician channel are deduced by applying properties of complex non-central Wishart matrices and matrix-variate non-central quadratic forms. Compared to the related studies, our analysis is extended to account for the polarized distributed system with Rician fading where a line-of-sight component exists and both ends are affected by spatial correlation. The antenna polarization has some impacts on the capacity bounds according to the expressions of capacity bounds. Both the transmitter and the receiver are equipped with multiple polarization antennas, and the transmitters are of linear layout. A power allocation scheme based on the path loss fading is presented by maximizing the capacity upper bound. The power allocation scheme is feedback efficient compared with those power allocation schemes based on statistical parameters of the channel which need a large amount of feedback. In the simulations, the ergodic capacity of polarized distributed MIMO is analyzed. Comparisons are taken on the effects of angle spread, Rician factor and power on the ergodic capacity. The proposed power allocation scheme is superior to the equal power allocation scheme and has very close performance to the optimal power allocation scheme.
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Foschini G. J., Gans M. J. (1998) On limits of wireless communication in a fading environment when using multiple antennas. Wireless Personal Communications 6(3): 311–335
Telatar I. E. (1999) Capacity of multi-antenna Gaussian channels. European Transactions on Telecommunications 10(6): 585–595
Grant A. (2002) Rayleigh fading multi-antenna channels. IEEE Transactions on Communications 5(1): 316–329
Kang M., Alouimi M. S. (2006) Capacity of MIMO Rician channels. IEEE Transactions on Communications 5(1): 112–122
Lebrun G., Faulkner M., Shafi M., Smith P. J. (2006) MIMO Ricean channel capacity: An asymptotic analysis. IEEE Transactions on Communications 5(6): 1343–1350
Matthaiou M., Kopsinis Y., Laurenson D. I., Sayeed A. M. (2009) Ergodic capacity upper bound for dual MIMO Ricean systems: Simplified derivation and asymptotic tightness. IEEE Transactions on Communications 57(12): 3589–3596
Smith P. J., Garth L. M. (2004) Exact capacity distribution for dual MIMO systems in Ricean fading. IEEE Communications Letters 8(1): 18–20
McKay M. R., Collings I. B. (2006) Improved general lower bound for spatially-correlated Rician MIMO capacity. IEEE Communications Letters 10(3): 162–164
Salo J., Mikas F., Vainikainen P. (2006) An upper bound on the ergodic mutual information in Rician fading MIMO channels. IEEE Transactions on Communications 5(6): 1415–1421
McKay M. R., Collings I. B. (2005) General capacity bounds for spatially correlated Rician MIMO channels. IEEE Transactions on Information Theory 51(9): 3121–3145
Maaref A., Aïssa S. (2008) Capacity of MIMO Rician fading channels with transmitter and receiver channel state information. IEEE Transactions on Wireless Communications 7(5): 1687–1698
Wang, D., You, X., Wang, J., & Hou, X. (2008). Spectral efficiency of distributed MIMO cellular system in a composite fading channe. In Proceedings of IEEE International Conferernce of Communications 2008, Beijing, China (pp. 1259–1264).
Choi W., Andrews J. G. (2007) Downlink performance and capacity of distributed antenna systems in a multicell environment. IEEE Transactions on Communications 6(1): 69–73
Dai H., Zhang H., Zhou Q. (2007) Some analysis in distributed MIMO systems. Journal of Communications 3(9): 43–50
Wang X., Zhu P., Chen M. (2009) Antenna location design for generalized distributed antenna systems. IEEE Communications Letters 13(5): 315–317
Nam, E., Lee, N., Kwon, S., Kang, J., Gil, G., & Lee, S. (2009). Adaptive transmission scheme for improving capacity in distributed antenna systems. In Proceedings of IEEE 70th Vehicular Technology Conference Fall 2009, Anchorage, AK (pp. 1–4).
Park J., Song E., Sung W. (2009) Capacity analysis for distributed antenna systems using cooperative transmission schemes in fading channels. IEEE Transactions on wireless Communications 8(2): 586–592
Soma, P., Baum, D. S., Erceg, V., Krishnamoorthy, R., & Paulrgj A. J. (2002). Analysis and modeling of multiple-input multiple-output (MIMO) radio channel based on outdoor measurements conducted at 2.5 GHz for fixed BWA applications. In Proceedings of IEEE International Conferernce of Communications 2002, Anchorage Alaska, USA (pp. 272–276).
Jiang, L., Thiele, L., & Jungnickel, V. (2007). On the modelling of polarized MIMO channel. In Proceedings of European Wireless 2007, Paris, France (pp. 1–4).
Oestges C., Erceg V., Paulraj A. J. (2004) Propagation modeling of MIMO multipolarized fixed wireless channels. IEEE Transactions on Vehicular Technology 53(5): 644–654
Erceg V., Sampath H., Catreux-Erceg S. (2006) Dual-polarization versus single-polarization MIMO channel measurement results and modeling. IEEE Transactions on Communications 5(1): 28–33
Oestges C., Clerckx B., Guillaud M., Debbah M. (2008) Dual-polarized wireless communications: From propagation models to system performance evaluation. IEEE Transactions on wireless Communications 7(10): 4019–4031
Shafi M., Zhang M., Moustakas A. L., Smith P. J., Molisch A. F., Tufvesson F., Simon S. H. (2006) Polarized MIMO channels in 3-D: Models, measurements and mutual information. IEEE Journal on Selected Areas in Communications 24(3): 514–527
Gupta G., Hughes B., Lazzi G. (2008) On the degrees of freedom in linear array systems with tri-polarized antennas. IEEE Transactions on wireless communications 7(7): 2458–2462
Tse D., Viswanath P. (2005) Fundamentals of wireless communication. Cambridge University Press, Cambridge, UK
Gupta A. K., Nagar D. K. (2000) Matrix variate distributions. Chapman & Hall/CRC, Boca Raton, FL
Lim, D., Choi, K., & Liu, H. (2009). Optimal power allocation for distributed antenna systems with large-scale fading-only feedback. In Proceedings of 2009 Sixth International Conference on Information Technology: New Generation, Las Vegas, USA (pp. 1158–1164).
Li X., Jin S., Gao X., Wong K. (2010) Near-optimal power allocation for MIMO channels with mean or covariance feedback. IEEE Transactions on Communications 58(1): 289–300
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Lu, W., Liu, Y. & Wang, D. Capacity Performance of Polarized Distributed MIMO System on Rician Channel. Wireless Pers Commun 68, 1047–1066 (2013). https://doi.org/10.1007/s11277-011-0498-x
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DOI: https://doi.org/10.1007/s11277-011-0498-x