Quadratic forms in complex Gaussian matrices and performance analysis of MIMO systems with co-channel interference

We derive new results dealing with the distribution of the largest eigenvalue of certain quadratic forms in complex Gaussian matrices. These results are useful for the performance analysis of optimized multi-input-multi-output (MIMO) systems subject to co-channel interference.

[1]  C. Khatri.  Distribution of the Largest or the Smallest Characteristic Root Under Null Hypothesis Concerning Complex Multivariate Normal Populations , 1964 .

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

[3]  C. Khatri.  Classical Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution , 1965 .

[4]  C. Khatri.  Non-central distributions ofith largest characteristic roots of three matrices concerning complex multivariate normal populations , 1969 .

[5]  M. A. Golberg,et al.  The Derivative of a Determinant , 1972 .

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

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

[8]  Gordon L. Stuber,et al.  Principles of Mobile Communication , 1996 .

[9]  Jack H. Winters,et al.  Smart antennas for wireless systems , 1998, IEEE Wirel. Commun..

[10]  Khaled Ben Letaief,et al.  Investigating the performance of smart antenna systems at the mobile and base stations in the down and uplinks , 1998, VTC '98. 48th IEEE Vehicular Technology Conference. Pathway to Global Wireless Revolution (Cat. No.98CH36151).

[11]  Alexander M. Haimovich,et al.  Performance analysis of optimum combining in wireless communications with Rayleigh fading and cochannel interference , 1998, IEEE Trans. Commun..

[12]  Boon Chong Ng,et al.  Space-time modems for wireless personal communications , 1998, IEEE Wirel. Commun..

[13]  I-Tai Lu,et al.  Space-time processing for broadband multi-channel communication systems using smart antennas at both transmitter and receiver , 1999, 1999 IEEE International Conference on Communications (Cat. No. 99CH36311).

[14]  V. Aalo,et al.  Outage probability of optimum combining and MRC in a Rice fading channel with cochannel interference , 2000, 2000 IEEE Wireless Communications and Networking Conference. Conference Record (Cat. No.00TH8540).

[15]  Khaled Ben Letaief,et al.  Adaptive antennas at the mobile and base stations in an OFDM/TDMA system , 2001, IEEE Trans. Commun..

[16]  Mohamed-Slim Alouini,et al.  Outage probability and spectrum efficiency of cellular mobile radio systems with smart antennas , 2002, IEEE Trans. Commun..

[17]  Mohamed-Slim Alouini,et al.  Performance analysis of MIMO systems with cochannel interference over Rayleigh fading channels , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).