### EFFECT OF IMPERFECT CHANNEL ESTIMATION ON HIGH- RATE SPATIAL MODULATION DETECTORS

#### Abstract

Recently, anew Spatial Modulation (SM) system, called high rate spatial modulation (HRSM), was proposed to achieve spectral efficiency linearly increased with the number of transmit antennas. In this system, the HRSM receiver is assumed to exactly know the channel state information (CSI). However, in practice, this assumption is not realistic due to channel estimation error. Furthermore, the spatial correlation between antennas at the transceiver affects on the CSI. As a result, the HRSM performance deteriorates due to the imperfect CSI (I-CSI) and the correlation effect. In this paper, a general channel model including the correlation effect at the transceiver and the I-CSI is proposed. Performance of the existing HRSM detectors is investigated under this model. Besides, in order to obtain comprehensive understanding about the HRSM system, the system capacity under two cases: P-CSI and I-CSI is studied.

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R. Mesleh, H. Haas, A. C. Wook, and Y. Sangboh, "Spatial Modulation - A New Low Complexity Spectral Efficiency Enhancing Technique,"in First International Conference on Communications and Networking, China, (2006), pp. 1-5.

A. Younis, N. Serafimovski, R. Mesleh, and H. Haas, " Generalised spatial modulation,"in Forty Fourth ASILOMAR Conference on Signals, Systems and Computers (ASILOMAR), (2010), pp. 1498-1502.

M. T. Le, V. D. Ngo, H. A. Mai, X. N. Tran, and M. Di Renzo, " Spatially Modulated Orthogonal Space-Time Block Codes with Non-Vanishing Determinants,"IEEE Transactions on Communications,Vol. 62, (2014), pp. 85-99.

T. P. Nguyen, M. T. Le, V. D. Ngo, X. N. Tran, and H. W. Choi, " Spatial Modulation for High-Rate Transmission Systems,"in Vehicular Technology Conference, (2014), pp. 1-5.

M. Di Renzo and H. Haas, "Bit Error Probability of SM-MIMO Over Generalized Fading Channels,"IEEE Transactions on Vehicular Technology,vol. 61, (2012), pp. 1124-1144.

E. Basar, U. Aygolu, E. Panayirci, and H. V. Poor, “Performance of Spatial Modulation in the Presence of Channel Estimation Errors,”IEEE Communication Letters, Vol. 16, (2012), pp. 176-179.

R. Mesleh and S. S. Ikki, “On the Effect of Gaussian Imperfect Channel Estimations on the Performance of Space Modulation Techniques,”in Vehicular Technology Conference, (2012), pp. 1-5.

M. Koca and H. Sari, "Performance Analysis of Spatial Modulation over Correlated Fading Channels," in Vehicular Technology Conference, (2012), pp. 1-5.

E. Soujeri and G. Kaddoum, "Performance Comparison of Spatial Modulation Detectors under Channel Impairments," in IEEE International Conference on Ubiquitous Wireless Broadband (ICUWB), (2015), pp. 1-5.

S. L. Loyka, "Channel capacity of MIMO architecture using the exponential correlation matrix," IEEE Communication Letters, vol. 5, 2001, pp. 369-371.

T. D. Nguyen, X. N. Tran, T. M. Do, V. D. Ngo, and M. T. Le, "Low-complexity detectors for High-rate Spatial Modulation," in International Conference on Advanced Technologies for Communications (ATC),(2014), pp. 652-656.

D. Wubben, R. Bohnke, V.Kuhn, D. Kammeyer, "MMSE extension of VBLAST based on sorted QR decomposition," in Proceeding Vehicular Technology Conference, (2003), pp. 508-512.

A. M. Tulino, A. Lozano, and S. Verdu, "Impact of antenna correlation on the capacity of multiantenna channels," IEEE Transaction on Information Theory, Vol. 51, (2005), pp. 2491-2509.

F. Prisecaru, Mutual information and capacity of spatial modulation systems, Jacobs University, Bremen, (2007).

E. Basar, U. Aygolu, E. Panayirci, and H. V. Poor, "Space-time block coding for spatial modulation," in 21st International Symposium on Personal Indoor and Mobile Radio Communications (PIMRC), (2010), pp. 803-808.

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