Free-space phase-fading MIMO: system model and capacity analysis
In this work the modeling and performance analysis are present for a proposed MIMO Free-Space system called "Phase-Fading" system, which is a single-user with multiple-antenna system, where the transmitters and receivers are randomly located in specific areas and the links are dominated by Line-of-Sight (LoS) components. Since Free-Space Phase-Fading MIMO system channel is stochastic, based on Telatar's research, its capacity is determined by singular eigenvalue distribution of the random correlation matrix corresponding to channel transmit matrix. Firstly, for proposed Free-Space MIMO system, the asymptotic analysis was performed for the ergodic capacity with respect to the infinite number of transmit and receive antennas while keeping the aspect ratio beta constant, for which the explicit expression of asymptotic capacity was uncovered. In addition, an unification property has been found for asymptotic capacity performances in Phase-fading and Rayleigh channel. Secondly, considering the finite order channel capacity, simulation plots were present and the Phase-Fading System has better capacity than the conventional Free-Space MIMO systems and Rayleigh channel. Moreover, the singular value distribution has been worked out for 2 by 2 Phase-fading channel as well the capacity formula. Besides, an essential part has been discovered in the joint probability density function of eigenvalues.
Ergodic capacity, MIMO, Free-space phase-fading, Eigenvalues
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