Saddlepoint approximation to the outage capacity of MIMO channels

We put forth a saddlepoint approximation for the outage capacity of multiple-input multiple-output (MIMO) systems using the exact moment generating function of the capacity. We consider both uncorrelated and spatially correlated Rayleigh-fading channels. Our results show that the saddlepoint method gives a remarkably accurate approximation to the outage capacity even at extremely low outage probabilities

[1]  Mansoor Shafi,et al.  Capacity of MIMO systems with semicorrelated flat fading , 2003, IEEE Trans. Inf. Theory.

[2]  Mansoor Shafi,et al.  An approximate capacity distribution for MIMO systems , 2004, IEEE Transactions on Communications.

[3]  Chen-Nee Chuah,et al.  Capacity scaling in MIMO Wireless systems under correlated fading , 2002, IEEE Trans. Inf. Theory.

[4]  Jack H. Winters,et al.  On the Capacity of Radio Communication Systems with Diversity in a Rayleigh Fading Environment , 1987, IEEE J. Sel. Areas Commun..

[5]  Hyundong Shin,et al.  On the capacity of doubly correlated MIMO channels , 2005, IEEE Transactions on Wireless Communications.

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

[7]  H. Daniels Saddlepoint Approximations in Statistics , 1954 .

[8]  S. Rice,et al.  Saddle point approximation for the distribution of the sum of independent random variables , 1980, Advances in Applied Probability.

[9]  John G. Christiano,et al.  On the n-th Derivative of a Determinant of the j-th Order , 1964 .

[10]  Georgios B. Giannakis,et al.  Outage mutual information of space-time MIMO channels , 2004, IEEE Transactions on Information Theory.

[11]  M. Kießling,et al.  Exact ergodic capacity of MIMO channels in correlated Rayleigh fading environments , 2004, International Zurich Seminar on Communications, 2004.

[12]  J. P. Kermoal Measurement, modelling and performance evaluation of the MIMO radio channel , 2002 .

[13]  H. E. Daniels,et al.  Tail Probability Approximations , 1987 .

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

[15]  P. Hughett Error Bounds for Numerical Inversion of a Probability Characteristic Function , 1998 .

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

[17]  Lee M. Garth,et al.  Exact capacity distributions for MIMO systems with small numbers of antennas , 2003, IEEE Communications Letters.

[18]  D. E. Barton,et al.  The conditions under which Gram-Charlier and Edgeworth curves are positive definite and unimodal , 1952 .