Error Performance of MIMO-BICM with Zero-Forcing Receivers in Spatially-Correlated Rayleigh Channels

In this letter we derive tight analytical expressions for the coded bit error rate of MIMO bit-interleaved coded modulation (BICM) in spatially-correlated Rayleigh fading channels. We consider the case where low complexity zero-forcing receivers are employed. The analysis is simpler and more direct than the standard BICM error event expurgation technique, and yields efficient, accurate expressions for the error probability. Based on the analytical results, we obtain the diversity order and show that it is independent of the spatial correlation. Moreover, we show that the presence of spatial correlation induces an SNR loss with respect to i.i.d. channels. We quantify this loss, and show that it is a function of the antenna configuration and the eigenvalues of the spatial correlation matrices, and is independent of the coding and modulation parameters

[1]  D. A. Bell,et al.  Information Theory and Reliable Communication , 1969 .

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

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

[4]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[5]  I. Olkin,et al.  Inequalities: Theory of Majorization and Its Applications , 1980 .

[6]  Offer Lieberman.  A Laplace approximation to the moments of a ratio of quadratic forms , 1994 .

[7]  R. Durrett.  Probability: Theory and Examples , 1993 .

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

[9]  J.E. Mazo,et al.  Digital communications , 1985, Proceedings of the IEEE.

[10]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[11]  Ingram Olkin,et al.  Inequalities: Theory of Majorization and Its Application , 1979 .

[12]  V.W.S. Chan,et al.  Principles of Digital Communication and Coding , 1979 .

[13]  Giuseppe Caire,et al.  Error probability analysis of bit-interleaved coded modulation , 2006, IEEE Transactions on Information Theory.

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

[15]  Joachim Speidel,et al.  Asymptotically tight bound on SER of MIMO zero-forcing receivers with correlated fading , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[16]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[17]  R. Gallager.  Information Theory and Reliable Communication , 1968 .

[18]  Helmut Bölcskei,et al.  Impact of the propagation environment on the performance of space-frequency coded MIMO-OFDM , 2003, IEEE J. Sel. Areas Commun..

[19]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

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