Journal ArticleDOI

# Effective Throughput Analysis of α - η - κ - μ Fading Channels

20 Mar 2020-IEEE Access (IEEE)-Vol. 8, pp 57363-57371

TL;DR: It is found that the effective throughput improves with the increase of channel nonlinearity and number of multipath clusters, and the high-SNR slope is only dependent on the channel non linearity and the number of multiclass clusters present in the physical channel.

AbstractThe $\alpha$ - $\eta$ - $\kappa$ - $\mu$ fading model is a very useful instrument to accurately describe various radio wave propagation scenarios. In this paper, we study the effective throughput performance of communication systems over the $\alpha$ - $\eta$ - $\kappa$ - $\mu$ fading channels. Novel and exact expressions for the effective throughput over $\alpha$ - $\eta$ - $\kappa$ - $\mu$ channels are derived, and the effective throughput of multiple-input single-output (MISO) and multiple-input multiple-output (MIMO) systems over some widely used small-scale fading models are presented based on the derived results. To obtain more understandings on the impact of physical channel characteristics and system configuration on the effective throughput, closed-form expressions for the asymptotic effective throughput at high signal-to-noise ratio (SNR) regimes are also obtained. The results reveal the underlying connections between different physical channel parameters (e.g., scattering level, phase correlation, channel nonlinearity, multipath clustering, and channel imbalance) and the effective throughput. It is found that the effective throughput improves with the increase of channel nonlinearity and number of multipath clusters, and the high-SNR slope is only dependent on the channel nonlinearity and the number of multipath clusters present in the physical channel.

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### "Effective Throughput Analysis of α ..." refers background in this paper

• ...effective capacity and effective rate) was proposed in [1]....

[...]

• ...In the context of effective throughput, the maximum constant arrival rate at the transmitter is measured when guaranteed statistical delay constraints are assumed to be present [1]–[3]....

[...]

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• ..., the SNR caused by Nakagami-m fading [28] or α-μ fading [29]), the obtained results on effective throughput for those fading distributions can be straightforwardly extended to the case with MISO or MIMO configurations....

[...]

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TL;DR: A fading model is introduced, which explores the nonlinearity of the propagation medium and derives the corresponding fading distribution-the alpha-mu distribution-which is in fact a rewritten form of the Stacy (generalized Gamma) distribution.
Abstract: This paper introduces a fading model, which explores the nonlinearity of the propagation medium. It derives the corresponding fading distribution-the alpha-mu distribution-which is in fact a rewritten form of the Stacy (generalized Gamma) distribution. This distribution includes several others such as Gamma (and its discrete versions Erlang and central Chi-squared), Nakagami-m (and its discrete version Chi), exponential, Weibull, one-sided Gaussian, and Rayleigh. Based on the fading model proposed here, higher order statistics are obtained in closed-form formulas. More specifically, level-crossing rate, average fade duration, and joint statistics (joint probability density function, general joint moments, and general correlation coefficient) of correlated alpha-mu variates are obtained, and they are directly related to the physical fading parameters

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### "Effective Throughput Analysis of α ..." refers background in this paper

• ..., exponential, Rayleigh, Gamma, Weibull, and Nakagami-m) are all special cases of the α-μ model [32], [33]....

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