On channel estimation for spatial modulated systems over time-varying channels

Spatial Modulation (SM) has been proposed recently for multiple-input multiple-output (MIMO) systems to cope with the interchannel interference and to reduce the detection complexity as compared to the conventional MIMO systems. In SM system, the data symbols are transmitted by a randomly selected active antenna of a MIMO transmitter to the receiver through a wireless channel. The information is carried both by the data symbol from any signal constellation such as M-ary phase shift keying (M-PSK) or M-ary quadrature amplitude modulation (M-QAM), by the index of the selected antenna. The channel estimation is a critical process at the receiver during the coherent detection of the transmitted symbol and the antenna index, randomly selected. Recently, the channel estimation of channel for SM systems has been investigated by the recursive least square (RLS) algorithm for only quasi-static fading channels. In this paper, a novel channel estimation is proposed for SM systems in the presence of rapidly time-varying channels. The Bayesian mean square error (MSE) bound has been derived as a benchmark and the performance of the proposed approaches is studied in terms of MSE and bit-error rate (BER). Computer simulation results have confirmed that the proposed iterative channel estimation technique has significant BER/MSE performance advantages compared with existing channel estimation algorithm proposed earlier in the literature.

[1]  Stuart C. Schwartz,et al.  An enhanced channel estimation algorithm for OFDM: combined EM algorithm and polynomial fitting , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[2]  George V. Tsoulos,et al.  Estimating MIMO system performance using the correlation matrix approach , 2002, IEEE Communications Letters.

[3]  Azzedine Zerguine,et al.  Recursive least-squares adaptive channel estimation for spatial modulation systems , 2009, 2009 IEEE 9th Malaysia International Conference on Communications (MICC).

[4]  Steven Kay,et al.  Fundamentals Of Statistical Signal Processing , 2001 .

[5]  P. Grant,et al.  Spatial modulation for multiple-antenna wireless systems: a survey , 2011, IEEE Communications Magazine.

[6]  Lajos Hanzo,et al.  Effects of Channel Estimation on Spatial Modulation , 2012, IEEE Signal Processing Letters.

[7]  Brian M. Sadler,et al.  Optimal insertion of pilot symbols for transmissions over time-varying flat fading channels , 2004, IEEE Transactions on Signal Processing.

[8]  Chang Wook Ahn,et al.  Spatial Modulation - A New Low Complexity Spectral Efficiency Enhancing Technique , 2006, 2006 First International Conference on Communications and Networking in China.

[9]  Brian L. Hughes,et al.  Joint channel estimation and data detection in space-time communications , 2003, IEEE Trans. Commun..

[10]  Deva K. Borah,et al.  Frequency-selective fading channel estimation with a polynomial time-varying channel model , 1999, IEEE Trans. Commun..

[11]  Joseph M. Kahn,et al.  Fading correlation and its effect on the capacity of multielement antenna systems , 2000, IEEE Trans. Commun..

[12]  Joachim Speidel,et al.  Improved Decision-Directed Recursive Least Squares MIMO Channel Tracking , 2009, 2009 IEEE International Conference on Communications.

[13]  Yonina C. Eldar,et al.  A Lower Bound on the Bayesian MSE Based on the Optimal Bias Function , 2008, IEEE Transactions on Information Theory.

[14]  A.F. Molisch,et al.  MIMO systems with antenna selection , 2004, IEEE Microwave Magazine.

[15]  Qinghua Li,et al.  An iterative receiver for turbo-coded pilot-assisted modulation in fading channels , 2001, IEEE Communications Letters.

[16]  H. Vincent Poor,et al.  Performance of Spatial Modulation in the Presence of Channel Estimation Errors , 2012, IEEE Communications Letters.

[17]  Jiangzhou Wang,et al.  Effect of channel-estimation error on QAM systems with antenna diversity , 2005, IEEE Trans. Commun..

[18]  P.F. Driessen,et al.  Simulation results for an interference-limited multiple input multiple output cellular system , 2000, Globecom '00 - IEEE. Global Telecommunications Conference. Conference Record (Cat. No.00CH37137).

[19]  Ali Ghrayeb,et al.  Spatial modulation: optimal detection and performance analysis , 2008, IEEE Communications Letters.

[20]  J. Cavers.  An analysis of pilot symbol assisted modulation for Rayleigh fading channels (mobile radio) , 1991 .

[21]  Laurent Ros,et al.  Bayesian Cramer-Rao Bound for OFDM Rapidly Time-Varying Channel Complex Gains Estimation , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[22]  Hakan A. Çirpan,et al.  Iterative Channel Estimation and Decoding of Turbo Coded SFBC-OFDM Systems , 2007, IEEE Transactions on Wireless Communications.

[23]  Moe Z. Win,et al.  On the capacity of spatially correlated MIMO Rayleigh-fading channels , 2003, IEEE Trans. Inf. Theory.

[24]  Giuseppe Fedele,et al.  On the inversion of the Vandermonde matrix , 2006, Appl. Math. Comput..

[25]  Asst . Prof,et al.  Space-Time Block Coded Spatial Modulation , 2012 .

[26]  Xiaowen Wang,et al.  Channel estimation for multicarrier modulation systems using a time-frequency polynomial model , 2002, IEEE Trans. Commun..

[27]  S. Kay.  Fundamentals of statistical signal processing: estimation theory , 1993 .

[28]  Ghassan Kawas Kaleh,et al.  Joint parameter estimation and symbol detection for linear or nonlinear unknown channels , 1994, IEEE Trans. Commun..

[29]  H. Vincent Poor,et al.  New Trellis Code Design for Spatial Modulation , 2011, IEEE Transactions on Wireless Communications.

[30]  Michael Tüchler,et al.  Iterative channel estimation for turbo equalization of time-varying frequency-selective channels , 2004, IEEE Transactions on Wireless Communications.

[31]  Hakan Dogan.  EM/SAGE Based ML Channel Estimation for Uplink DS-CDMA Systems over Time-Varying Fading Channels , 2008, IEEE Communications Letters.

[32]  H. Vincent Poor,et al.  Orthogonal Frequency Division Multiplexing With Index Modulation , 2012, IEEE Transactions on Signal Processing.

[33]  W. C. Jakes,et al.  Microwave Mobile Communications , 1974 .