Effective Rate Analysis of MISO Systems over $\alpha$-$\mu$ Fading Channels

TL;DR

This paper derives accurate closed-form expressions for the effective rate of MISO systems over $oldsymbol{ extalpha}$-$oldsymbol{ extmu}$ fading channels, analyzing the impact of system and channel parameters under delay constraints.

Contribution

It provides novel closed-form approximate formulas for the effective rate of MISO systems over $ extalpha$-$ extmu$ channels, including high and low SNR regimes, and explores parameter effects.

Findings

Effective rate increases with $ extalpha$, $ extmu$, and number of antennas.

Effective rate decreases with more stringent delay constraints.

Derived formulas connect with existing literature results.

Abstract

The effective rate is an important performance metric of real-time applications in next generation wireless networks. In this paper, we present an analysis of the effective rate of multiple-input single-output (MISO) systems over $\alpha$-$\mu$ fading channels under a maximum delay constraint. More specifically, novel and highly accurate closed-form approximate expressions of the effective rate are derived for such systems assuming the generalized $\alpha$-$\mu$ channel model. In order to examine the impact of system and channel parameters on the effective rate, we also derive closed-form expressions of the effective rate in asymptotically high and low signal-to-noise ratio (SNR) regimes. Furthermore, connections between our derived results and existing results from the literature are revealed for the sake of completeness. Our results demonstrate that the effective rate is a monotonically increasing function of channel fading parameters $\alpha$ and $\mu$, as well as the number of transmit antennas, while it decreases to zero when the delay constraint becomes stringent.