An Upper Bound on the Capacity of Distributed MIMO Systems With Rician/Lognormal Fading

Abstract

In many communication environments for distributed MIMO (D-MIMO) systems, insufficient angular spread and dominant nonfading paths exist simultaneously. In such situations, a spatially correlated Rician/Lognormal channel model is appropriate. In this letter, analytic upper bound of ergodic capacity is presented for D-MIMO systems operating on Rician/Lognormal fading channels. In the analysis, it is assumed that receive correlation and transmit correlation exist simultaneously, and the rank of channel mean matrix is arbitrary. To avoid the appearance of Hayakawa polynomials, which cannot be simplified, the determinant in the expression of ergodic capacity is expanded by use of the linear sum of determinants of noncentral wishart matrices. The results of computer simulation show that the bound remains tight across the entire signal-to-noise ratio (SNR) regime.