On eigenvalue and capacity distributions of cooperative multi-keyhole propagation channels

In this contribution, we study the cascaded multi-keyhole channels for cooperative wireless communications through presenting the corresponding channel model. The cascaded Wishart distribution is adopted to investigate the distribution of the eigenvalues of multi-keyhole MIMO channel matrix as well as the capacity of the wireless systems over such channels. An approximation method is presented when estimating the distribution of the largest eigenvalues of channel matrix. The fitness between analytical derivations and simulations validates the proposed models and analysis methods, which provide an important reference for cooperative diversity wireless communications.

[1]  George K. Karagiannidis,et al.  $N{\ast}$Nakagami: A Novel Stochastic Model for Cascaded Fading Channels , 2007, IEEE Transactions on Communications.

[2]  Pooi Yuen Kam,et al.  WLC11-1: A New Approach to the Capacity Distribution of MIMO Rayleigh Fading Channels , 2006, IEEE Globecom 2006.

[3]  Nelson Costa,et al.  Multiple-input-multiple-output measurements and modeling in Manhattan , 2003, IEEE J. Sel. Areas Commun..

[4]  Yoshio Karasawa,et al.  On Statistical Distribution of Eigenvalues of Channel Correlation Matrix in MIMO Multi-Keyhole Environment , 2007, IEICE Trans. Commun..

[5]  Fredrik Tufvesson,et al.  Keyhole Effects in MIMO Wireless Channels - Measurements and Theory , 2003 .

[6]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[7]  Reinaldo A. Valenzuela,et al.  Keyholes, correlations, and capacities of multielement transmit and receive antennas , 2002, IEEE Trans. Wirel. Commun..

[8]  Caijun Zhong,et al.  Performance Analysis of Optimal Joint Beamforming in Multi-Keyhole MIMO Channels , 2009, 2009 IEEE International Conference on Communications.

[9]  Nikos C. Sagias,et al.  On the cascaded Weibull fading channel model , 2007, J. Frankl. Inst..

[10]  Sergey Loyka,et al.  On the Outage Capacity Distribution of Correlated Keyhole MIMO Channels , 2008, IEEE Trans. Inf. Theory.

[11]  A. Edelman Eigenvalues and condition numbers of random matrices , 1988 .

[12]  Fredrik Tufvesson,et al.  Keyhole Effect in MIMO Wireless Channels: Measurements and Theory , 2006, IEEE Trans. Wirel. Commun..

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

[14]  Helmut Bölcskei,et al.  Outdoor MIMO wireless channels: models and performance prediction , 2002, IEEE Trans. Commun..

[15]  Nathan A. Goodman,et al.  MIMO Channel Rank via the Aperture-Bandwidth Product , 2007, IEEE Transactions on Wireless Communications.

[16]  Yoshio Karasawa,et al.  Multi-Keyhole Model for MIMO Radio-Relay Systems , 2007 .

[17]  D. Chizhik,et al.  Predicting multi-element receive & transmit array capacity outdoors with ray tracing , 2001, IEEE VTS 53rd Vehicular Technology Conference, Spring 2001. Proceedings (Cat. No.01CH37202).

[18]  I. Johnstone MULTIVARIATE ANALYSIS AND JACOBI ENSEMBLES: LARGEST EIGENVALUE, TRACY-WIDOM LIMITS AND RATES OF CONVERGENCE. , 2008, Annals of statistics.

[19]  Mohamed-Slim Alouini,et al.  Product of the Powers of Generalized Nakagami-m Variates and Performance of Cascaded Fading Channels , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[20]  Kostas Peppas,et al.  Cascaded generalised-K fading channel , 2010, IET Commun..

[21]  Yee Hui Lee,et al.  Measurement and characterization of a forested channel with SIMO system , 2007, 2007 6th International Conference on Information, Communications & Signal Processing.