Asymptotic BER Analysis for MIMO-BICM with Zero-Forcing Detectors Assuming Imperfect CSI

In this paper, we derive the asymptotic bit error rate (BER) for multiple-input multiple-output bit-interleaved coded modulation (MIMO-BICM) with linear zero-forcing (ZF) receivers for a temporally correlated flat Rayleigh fading channel. Pilot symbol assisted modulation (PSAM) in combination with linear minimum mean-squared error (LMMSE) channel estimation is considered. We also demonstrate that the deterioration due to imperfect channel state information (CSI) can be represented by a signal-to-noise ratio (SNR) degradation.

[1]  M. Dohler,et al.  MIMO systems with adaptive modulation , 2004, IEEE Transactions on Vehicular Technology.

[2]  Stefan H. Müller-Weinfurtner.  Coding approaches for multiple antenna transmission in fast fading and OFDM , 2002, IEEE Trans. Signal Process..

[3]  Giuseppe Caire,et al.  Bit-Interleaved Coded Modulation , 2008, Found. Trends Commun. Inf. Theory.

[4]  Heinrich Meyr,et al.  An information theoretic foundation of synchronized detection , 2001, IEEE Trans. Commun..

[5]  Norman C. Beaulieu,et al.  Closed-form BER results for MRC diversity with channel estimation errors in Ricean fading channels , 2005, IEEE Transactions on Wireless Communications.

[6]  Sonia Aïssa,et al.  Closed-form expressions for the outage and ergodic Shannon capacity of MIMO MRC systems , 2005, IEEE Transactions on Communications.

[7]  Andrea J. Goldsmith,et al.  Adaptive Modulation for MIMO Multiplexing under Average BER Constraints and Imperfect CSI , 2006, 2006 IEEE International Conference on Communications.

[8]  Andrea J. Goldsmith,et al.  Analysis of MIMO Beamforming with Channel Response Variations Over the Frame Interval , 2007, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[9]  E. Biglieri,et al.  Simple method for evaluating error probabilities , 1996 .

[10]  Sonia Aïssa,et al.  Generalized Performance Analysis of Adaptive PSAM-Based Transmit-Beamforming for Wireless MIMO systems , 2006, 2006 IEEE 63rd Vehicular Technology Conference.

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

[12]  Georgios B. Giannakis,et al.  How accurate channel prediction needs to be for transmit-beamforming with adaptive modulation over Rayleigh MIMO channels? , 2004, IEEE Transactions on Wireless Communications.

[13]  Bruce E. Hajek,et al.  Comments on "Bit-interleaved coded modulation" , 2006, IEEE Trans. Inf. Theory.

[14]  Branka Vucetic,et al.  Design of adaptive modulation using imperfect CSI in MIMO systems , 2004 .

[15]  H. Meyr,et al.  Analytical Bit Error Rate Calculation for BICM(-ID) Assuming Imperfect CSI , 2007, 2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers.

[16]  Dongweon Yoon,et al.  On the general BER expression of one- and two-dimensional amplitude modulations , 2002, IEEE Trans. Commun..

[17]  Pooi Yuen Kam,et al.  Performance of pilot-symbol-assisted-modulation with transmit-receive diversity in nonselective Rayleigh fading channels , 2004, IEEE 60th Vehicular Technology Conference, 2004. VTC2004-Fall. 2004.

[18]  Ephraim Zehavi,et al.  8-PSK trellis codes for a Rayleigh channel , 1992, IEEE Trans. Commun..

[19]  Mansoor Shafi,et al.  Exact symbol error probabilities for SVD transmission of BPSK data over fading channels , 2005, IEEE International Conference on Communications, 2005. ICC 2005. 2005.

[20]  Abbas Jamalipour,et al.  Wireless communications , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

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

[22]  A. Goldsmith,et al.  Effect of channel estimation error on M-QAM BER performance in Rayleigh fading , 1999, 1999 IEEE 49th Vehicular Technology Conference (Cat. No.99CH36363).

[23]  S. H. Muller-Weinfurtner,et al.  Coding approaches for multiple antenna transmission in fast fading and OFDM , 2002 .

[24]  Iain B. Collings,et al.  A zero-forcing approximate log-likelihood receiver for MIMO bit-interleaved coded modulation , 2004, IEEE Communications Letters.

[25]  Matthew R. McKay,et al.  Capacity and performance of MIMO-BICM with zero-forcing receivers , 2005, IEEE Transactions on Communications.

[26]  Heinrich Meyr,et al.  Digital communication receivers - synchronization, channel estimation, and signal processing , 1997, Wiley series in telecommunications and signal processing.

[27]  Cyril Leung,et al.  Distribution of ordered eigenvalues of Wishart matrices , 2007 .