Outage information rate of spatially correlated multi-cluster scattering MIMO channels

A one-sided spatially-correlated multi-cluster scattering Rayleigh MIMO channel is considered in this work and its outage probability is derived in an analytic form based on Meijer function determinants. First, the spatially-uncorrelated case is addressed and the Moment Generating Function (MGF) of the information rate is expressed in an analytic closed-form. The MGF is then used to obtain the outage probability. A few special cases are addressed to provide a confirmation of the analytic results. Next, the MGF in the one-sided spatially correlated case is derived with the constraint of distinct positive spatial correlation eigenvalues. Numerical results are included to provide confirming evidence of the analytic results. These results are then used to assess the outage probability degradation due to spatial correlation in a selected example.

[1]  Dries Stivigny,et al.  Singular values of products of random matrices and polynomial ensembles , 2014, 1404.5802.

[2]  Jukka Corander,et al.  On the Fluctuation of Mutual Information in Double Scattering MIMO Channels , 2014 .

[3]  Mario Kieburg,et al.  Weak commutation relations and eigenvalue statistics for products of rectangular random matrices. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  H. Chernoff.  A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations , 1952 .

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

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

[7]  Lu Wei,et al.  Singular value correlation functions for products of Wishart random matrices , 2013, ArXiv.

[8]  Lu Wei.  Ergodic capacity of spatially correlated multi-cluster scattering MIMO channels , 2015, 2015 IEEE International Symposium on Information Theory (ISIT).

[9]  Giorgio Taricco,et al.  Exact pairwise error probability of space-time codes , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[10]  Gernot Akemann,et al.  Products of rectangular random matrices: singular values and progressive scattering. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Zhong Zheng,et al.  On the Ergodic Mutual Information of Multiple Cluster Scattering MIMO Channels , 2013, IEEE Communications Letters.

[12]  Jukka Corander,et al.  On the Outage Capacity of Orthogonal Space-Time Block Codes Over Multi-Cluster Scattering MIMO Channels , 2015, IEEE Transactions on Communications.

[13]  Dipankar Raychaudhuri,et al.  Frontiers of Wireless and Mobile Communications , 2012, Proceedings of the IEEE.