High-SNR power offset in multiantenna communication

In this paper, the high-SNR multiantenna capacity with coherent receivers on the multiplexing gain, i.e., the multiplicative increase as function of the number of antennas is analyzed. For most channels of interest, such multiplexing gain equals the minimum of the number of transmit and receive antennas. This traditional characterization, however, is unable to quantify the impact of many relevant channel features. As a function of SNR, the capacity is very well approximated, from moderate SNR on, as an affine function. The impact of the various channel features is captured in the power offset (in dB) or zero-order term in the affine expansion.

[1]  Amos Lapidoth,et al.  Monotonicity results for coherent MIMO Rician channels , 2005, IEEE Transactions on Information Theory.

[2]  Antonia Maria Tulino,et al.  Capacity of antenna arrays with space, polarization and pattern diversity , 2003, Proceedings 2003 IEEE Information Theory Workshop (Cat. No.03EX674).

[3]  C. Khatri.  On Certain Distribution Problems Based on Positive Definite Quadratic Functions in Normal Vectors , 1966 .

[4]  Shlomo Shamai,et al.  Fading channels: How perfect need "Perfect side information" be? , 2002, IEEE Trans. Inf. Theory.

[5]  Holger Boche,et al.  Channel capacity and capacity-range of beamforming in MIMO wireless systems under correlated fading with covariance feedback , 2004, IEEE Transactions on Wireless Communications.

[6]  R. Muirhead.  Aspects of Multivariate Statistical Theory , 1982, Wiley Series in Probability and Statistics.

[7]  Helmut Bölcskei,et al.  A geometrical investigation of the rank-1 Ricean MIMO channel at high SNR , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[8]  Amos Lapidoth,et al.  Capacity bounds via duality with applications to multiple-antenna systems on flat-fading channels , 2003, IEEE Trans. Inf. Theory.

[9]  Peter J. Smith,et al.  A determinant representation for the distribution of quadratic forms in complex normal vectors , 2000 .

[10]  Y. Yin.  Limiting spectral distribution for a class of random matrices , 1986 .

[11]  A. Sayeed,et al.  On the capacity of correlated mimo channels , 2003, IEEE International Symposium on Information Theory, 2003. Proceedings..

[12]  A. Rukhin.  Matrix Variate Distributions , 1999, The Multivariate Normal Distribution.

[13]  Holger Boche,et al.  Optimal Transmission with Imperfect Channel State Information at the Transmit Antenna Array , 2003, Wirel. Pers. Commun..

[14]  Helmut Bölcskei,et al.  Characterizing the statistical properties of mutual information in MIMO channels: insights into diversity-multiplexing tradeoff , 2002, Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002..

[15]  Holger Boche,et al.  Optimal transmission strategies and impact of correlation in multiantenna systems with different types of channel state information , 2004, IEEE Transactions on Signal Processing.

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

[17]  Gregory W. Wornell,et al.  Efficient use of side information in multiple-antenna data transmission over fading channels , 1998, IEEE J. Sel. Areas Commun..

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

[19]  Reinaldo A. Valenzuela,et al.  Multiple transmit multiple receive (MTMR) capacity survey in Manhattan , 2001 .

[20]  Andrea J. Goldsmith,et al.  Channel capacity and beamforming for multiple transmit and receive antennas with covariance feedback , 2001, ICC 2001. IEEE International Conference on Communications. Conference Record (Cat. No.01CH37240).

[21]  Hyundong Shin,et al.  Capacity of multiple-antenna fading channels: spatial fading correlation, double scattering, and keyhole , 2003, IEEE Trans. Inf. Theory.

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

[23]  Shlomo Shamai,et al.  Spectral Efficiency of CDMA with Random Spreading , 1999, IEEE Trans. Inf. Theory.

[24]  Aris L. Moustakas,et al.  Optimizing MIMO antenna systems with channel covariance feedback , 2003, IEEE J. Sel. Areas Commun..

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

[26]  Upamanyu Madhow,et al.  Space-Time transmit precoding with imperfect feedback , 2001, IEEE Trans. Inf. Theory.

[27]  A. Lapidoth,et al.  On the log determinant of noncentral Wishart matrices , 2003, IEEE International Symposium on Information Theory, 2003. Proceedings..

[28]  Larry J. Greenstein,et al.  A semi-empirical representation of antenna diversity gain at cellular and PCS base stations , 1997, IEEE Trans. Commun..

[29]  Alex J. Grant,et al.  Rayleigh Fading Multi-Antenna Channels , 2002, EURASIP J. Adv. Signal Process..

[30]  Antonia Maria Tulino,et al.  Random Matrix Theory and Wireless Communications , 2004, Found. Trends Commun. Inf. Theory.

[31]  Antonia Maria Tulino,et al.  Capacity of multiple-transmit multiple-receive antenna architectures , 2002, IEEE Trans. Inf. Theory.

[32]  Antonia Maria Tulino,et al.  Capacity-achieving input covariance for single-user multi-antenna channels , 2006, IEEE Transactions on Wireless Communications.

[33]  W. C. Y. Lee,et al.  Estimate of channel capacity in Rayleigh fading environment , 1990 .

[34]  Chen-Nee Chuah,et al.  Capacity scaling in dual-antenna-array wireless systems , 2000, Conference Record of the Thirty-Fourth Asilomar Conference on Signals, Systems and Computers (Cat. No.00CH37154).

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

[36]  A. James.  Distributions of Matrix Variates and Latent Roots Derived from Normal Samples , 1964 .

[37]  Angel Lozano,et al.  Space-Time Wireless Systems: Multiantenna capacity: myths and realities , 2006 .

[38]  Antonia Maria Tulino,et al.  Multiple-antenna capacity in the low-power regime , 2003, IEEE Trans. Inf. Theory.

[39]  K. I. Gross,et al.  Total positivity, spherical series, and hypergeometric functions of matrix argu ment , 1989 .

[40]  Shlomo Shamai,et al.  The impact of frequency-flat fading on the spectral efficiency of CDMA , 2001, IEEE Trans. Inf. Theory.

[41]  M. J. Gans,et al.  On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

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

[43]  Giuseppe Caire,et al.  Lattice coding and decoding achieve the optimal diversity-multiplexing tradeoff of MIMO channels , 2004, IEEE Transactions on Information Theory.

[44]  Anirvan M. Sengupta,et al.  Capacity of multivariate channels with multiplicative noise: I.Random matrix techniques and large-N expansions for full transfer matrices , 2000, physics/0010081.

[45]  Andrea J. Goldsmith,et al.  Transmitter optimization and optimality of beamforming for multiple antenna systems , 2004, IEEE Transactions on Wireless Communications.

[46]  Aris L. Moustakas,et al.  MIMO capacity through correlated channels in the presence of correlated interferers and noise: a (not so) large N analysis , 2003, IEEE Trans. Inf. Theory.

[47]  Antonia Maria Tulino,et al.  Impact of antenna correlation on the capacity of multiantenna channels , 2005, IEEE Transactions on Information Theory.

[48]  Nihar Jindal,et al.  High SNR analysis of MIMO broadcast channels , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[49]  A. Orlov.  New Solvable Matrix Integrals , 2002, nlin/0209063.