Approximation of Largest Eigenvalue Distribution in Rician MIMO Channels

This paper presents approximation formulae of statistical distributions of the largest eigenvalue of i.i.d. (independent and identically distributed) MIMO (multiple input multiple output) channel correlation matrices under Rician (Nakagami- Rice) fading environment. The proposed formulae are based on space diversity theory adopting MRC (maximal ratio combining) scheme under Nakagami m fading channel which is known as a good approximation of Nakagami-Rice fading, hence it well approximates the largest eigenvalue distribution in MIMO Rician channels. The derived marginal distributions have a simple monomial form which is suitable for calculations of various performance indices of MIMO systems. Computer simulations show that the proposed approximation formulae are effective and have a better precision than conventional one.