Capacity and amount of fading analysis for SIMO communications over η-μ and λ-μ fading channels

Abstract This study evaluates the performance of single-input multiple-output (SIMO) wireless networks or dual-branch (DB) SIMO scenarios over the η–μ and the λ–μ fading links. First, the probability density functions (PDFs) of the instantaneous signal to noise ratio for a DB SIMO system in the η–μ and the λ–μ fading conditions. Then, the closed-form expressions of the effective rate (ER or effective capacity) for a SIMO network are derived. In addition to this, asymptotic ER expressions for the considered SIMO network are proposed. The analytical capacity expressions with different transmission policies such as optimal rate adaptation with constant transmit power, optimal simultaneous power and rate adaptation, channel inversion with fixed-rate (CIFR), and truncated channel inversion with fixed-rate are obtained for the SIMO network. Furthermore, the capacity expressions with CIFR policy for DB SIMO communications over the η–μ and the λ–μ fading channels are derived by using the proposed PDFs. Finally, the amount of fading expressions for SIMO networks over the η–μ and the λ–μ fading links are proposed by employing the elementary functions. The proposed analytical expressions provide to establish different radio propagation scenarios by adjusting η, λ or μ parameter. To confirm the accuracy of our analysis, the proposed analytical expressions are verified via exact simulations.