Using delayed feedback for antenna selection in MIMO systems

Antenna selection in multiple-input-multipleoutput (MIMO) systems preserves diversity gain while significantly reducing hardware complexity. However, imperfect channel state information (CSI) affects performance. In this paper, we first analyze the performance of a MIMO system employing antenna selection at the transmitter and maximal ratio combining (MRC) at the receiver in the presence of feedback delay and channel estimation errors. Then, we determine whether channel prediction can compensate for the effect of feedback delay. Outage probability is analyzed as a function of ¿, the correlation coefficient between the CSI used at the receiver for decoding (CSIR) and the CSI used at the transmitter for selection (CSIT). Analytical results show that the effect of feedback delay is more significant than the effect of estimation error. In order to overcome the effect of delay, ¿ should increase with SNR. For a given SNR, the length of the linear minimum mean square error (LMMSE) prediction filter required is calculated and shown to increase with SNR. Finally, we determine the asymptotic diversity order as a function of the feedback quality. Results show that if 1 - ¿ ¿ SNR-1, the diversity order with imperfect CSI is same as that with perfect CSI.

[1]  Srikrishna Bhashyam,et al.  Outage probability of multiple-input single-output (MISO) systems with delayed feedback , 2009, IEEE Transactions on Communications.

[2]  Arogyaswami Paulraj,et al.  MIMO antenna subset selection with space-time coding , 2002, IEEE Trans. Signal Process..

[3]  Moe Z. Win,et al.  Capacity of MIMO systems with antenna selection , 2001, IEEE Transactions on Wireless Communications.

[4]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[5]  Cihan Tepedelenlioglu,et al.  Antenna Selection for MIMO-OFDM Systems With Channel Estimation Error , 2009, IEEE Transactions on Vehicular Technology.

[6]  Andreas F. Molisch,et al.  Optimal Signaling and Selection Verification for Single Transmit-Antenna Selection , 2007, IEEE Transactions on Communications.

[7]  Cihan Tepedelenlioglu,et al.  Antenna Selection for MIMO OFDM Systems with Channel Estimation Error , 2007, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[8]  Hans D. Hallen,et al.  Long-range prediction of fading signals , 2000, IEEE Signal Process. Mag..

[9]  Georgios B. Giannakis,et al.  A simple and general parameterization quantifying performance in fading channels , 2003, IEEE Trans. Commun..

[10]  Adam Sikora,et al.  Prediction of Bandlimited Fading Envelopes with Arbitrary Spectral Shape , 2007, IEEE Transactions on Wireless Communications.

[11]  Pravin Varaiya,et al.  Capacity of fading channels with channel side information , 1997, IEEE Trans. Inf. Theory.

[12]  Zhuo Chen,et al.  Asymptotic performance of transmit antenna selection with maximal-ratio combining for generalized selection criterion , 2004, IEEE Commun. Lett..

[13]  Andreas F. Molisch,et al.  MIMO systems with antenna selection - an overview , 2003, Radio and Wireless Conference, 2003. RAWCON '03. Proceedings.

[14]  E. Biglieri,et al.  Limiting performance of block-fading channels with multiple antennas , 1999, Proceedings of the 1999 IEEE Information Theory and Communications Workshop (Cat. No. 99EX253).

[15]  Zan Li,et al.  Doppler spread estimation for mobile OFDM systems in Rayleigh fading channels , 2003, IEEE Trans. Consumer Electron..

[16]  A. Papoulis.  A note on the predictability of band-limited processes , 1985, Proceedings of the IEEE.

[17]  Moe Z. Win,et al.  Antenna subset diversity with non-ideal channel estimation , 2008, IEEE Transactions on Wireless Communications.

[18]  Alexandra Duel-Hallen,et al.  Fading Channel Prediction for Mobile Radio Adaptive Transmission Systems , 2007, Proceedings of the IEEE.

[19]  Lizhong Zheng,et al.  Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels , 2003, IEEE Trans. Inf. Theory.

[20]  Xiaohu You,et al.  Performance Analysis of TAS-based MISO System in Temporally-Correlated Channel , 2007, 2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications.

[21]  Jia Tang,et al.  Alamouti scheme with joint antenna selection and power allocation over Rayleigh fading channels in wireless networks , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[22]  Sandeep Chennakeshu,et al.  Doppler spread estimation in mobile radio systems , 2001, IEEE Communications Letters.

[23]  Giuseppe Caire,et al.  Limiting performance of block-fading channels with multiple antennas , 2001, IEEE Trans. Inf. Theory.

[24]  Srikrishna Bhashyam,et al.  Feedback gain in multiple antenna systems , 2002, IEEE Trans. Commun..

[25]  Babak Hassibi,et al.  How much training is needed in multiple-antenna wireless links? , 2003, IEEE Trans. Inf. Theory.

[26]  Branka Vucetic,et al.  Analysis of transmit antenna selection/maximal-ratio combining in Rayleigh fading channels , 2005, IEEE Transactions on Vehicular Technology.

[27]  Luc Deneire,et al.  Impact of Feedback Delay on Rate Adaptation for Multiple Antenna Systems , 2006, 2006 IEEE 17th International Symposium on Personal, Indoor and Mobile Radio Communications.

[28]  Srikrishna Bhashyam,et al.  Eigen-beamforming with delayed feedback and channel prediction , 2009, 2009 IEEE International Symposium on Information Theory.

[29]  Huaping Liu,et al.  A Maximum Likelihood Doppler Frequency Estimator for OFDM Systems , 2006, 2006 IEEE International Conference on Communications.

[30]  S. Haykin,et al.  Adaptive Filter Theory , 1986 .

[31]  Chenyang Yang,et al.  Performance Analysis of MRT and Transmit Antenna Selection with Feedback Delay and Channel Estimation Error , 2007, 2007 IEEE Wireless Communications and Networking Conference.

[32]  S. Gazor,et al.  Analysis of Partial Phase Combining, Hybrid and Transmit Antenna Selection Schemes under Channel Estimation Errors and Feedback Delay , 2007, 2007 10th Canadian Workshop on Information Theory (CWIT).

[33]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[34]  Laurence B. Milstein,et al.  Performance analysis of linear diversity-combining schemes on Rayleigh fading channels with binary signaling and Gaussian weighting errors , 2005, IEEE Transactions on Wireless Communications.

[35]  Erdal Panayirci,et al.  Performance of Transmit and Receive Antenna Selection in the Presence of Channel Estimation Errors , 2008, IEEE Communications Letters.