On the capacity of generalized-K fading MIMO channels

Authors:
Michail Matthaiou;Nestor D. Chatzidiamantis;George K. Karagiannidis;Josef A. Nossek
Affiliations:
Department of Signals and Systems, Chalmers University of Technology, Gothenburg, Sweden and Institute for Circuit Theory and Signal Processing, TU München, Germany;Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece;Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece;Institute for Circuit Theory and Signal Processing, Technische Universität München, Munich, Germany
Venue:
IEEE Transactions on Signal Processing
Year:
2010

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Abstract

This correspondence explores the ergodic capacity of multiple-input multiple-output (MIMO) systems operating in generalized-K fading conditions. Using some recent results on majorization theory, we derive an analytical capacity bound which is applicable for arbitrary values of the signal-to-noise ratio (SNR) and number of antenna elements. In addition, we deduce simple bound approximations in the high-SNR regime and demonstrate that the effects of small and large-scale fading are decoupled. A similar statistical analysis is carried out for MIMO channels under K-fading, which represents a special case of generalized-K fading that can be tackled via the Wishart matrix theory. The implications of the model parameters on the bound performance are also investigated via Monte Carlo simulations.