Capacity Higher-Order Statistics Analysis for $\kappa-\mu$ Fading Channels with Correlated Shadowing

TL;DR

This paper analyzes the capacity higher-order statistics of MIMO wireless channels under $-$ fading with correlated shadowing, deriving closed-form expressions and examining the impact on signal-to-noise ratio and capacity reliability.

Contribution

It provides new closed-form and asymptotic expressions for capacity statistics in $-$ fading channels with correlated shadowing, extending analysis to generalized fading models.

Findings

Minimum capacity reliability occurs at higher SNR in generalized models.

Correlated shadowing affects the minimum capacity and SNR thresholds.

Results include special cases like Rayleigh, Rician, and Nakagami-m fading.

Abstract

The proposed research performs an analysis of the capacity higher-order statistics for a single-input multiple-output multiantenna wireless communication system equipped with a maximum-ratio combining scheme. It was assumed that the propagation multipath channel is described with the $\kappa-\mu$ fading model with the correlated dominant components. Closed-form and asymptotic expressions were derived and applied to the problem of minimum capacity reliability (due to channel fluctuations, thus possible rate deterioration) and corresponding signal-to-noise ratio analysis. The performed computer simulation, verifying the correctness of the obtained expressions, along with the generalized $\kappa-\mu$ fading channel with correlated shadowing, assumed several specific limiting simplified cases: Rayleigh, Rician and Nakagami-$m$. It was shown that the signal-to-noise ratio (at which minimum capacity reliability is attained) is achieved at greater values than that of simplified models, and the absolute value of this minimum can be smaller/higher than for the degenerate cases depending on the dominant components one-step correlation coefficient.