Effective Throughput Analysis of α - η - κ - μ Fading Channels
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.
Abstract: The $\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.
Citations
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TL;DR: Analysis of the physical layer secrecy (PLS) performance of a hybrid free space optical and radio frequency (FSO/RF) communication system under a modified selection combining scheme reveals useful insights into the performance of the investigated mixed system.
34 citations
TL;DR: In this article, the authors characterized the probability density function (PDF) expressed in terms of the programmable multivariate Fox's $H$ -function, and approximated with the mixture of Gaussian (MoG) distribution.
Abstract: This paper begins with the characterization of the sum of $M$ versions of cascaded $\alpha $ - $\mu $ (equivalently, $N*(\alpha $ - $\mu$ )) distributed random variates (RVs), and later on, explores the feasibility and applicability of the obtained results in the recent proposed reconfigurable intelligent surface (RIS)-assisted communications. More specifically, the sum of cascaded $\alpha $ - $\mu $ distributed RVs is exactly characterized by the probability density function (PDF) expressed in terms of the programmable multivariate Fox’s $H$ -function, and approximated with the mixture of Gaussian (MoG) distribution. The approximation accuracy is further validated by the Kolmogorov-Smirnov (KS) goodness of fit test. Based on the obtained statistical results, a promising application, i.e., RIS-assisted communication, is considered and evaluated from the effective rate perspective. The exact, asymptotic, and approximated effective rate are derived with closed-form expressions. Finally, our analytical results are further validated using the Monte-Carlo simulation, their accuracy is confirmed with the analytical error indicator. One can conclude that (i) the exact effective rate expression is complex in the manner of mathematical representation; (ii) the MoG-based effective rate expression is simple and provides a highly tight approximation to the exact expression, besides it indeed acts as a highly tight upper bound for the exact effective rate expression; and (iii) the MoG-based solution outperforms the multivariate Fox’s $H$ -function based approach with reducing complexity.
18 citations
TL;DR: In this article , the secrecy performance of a two-hop mixed radio frequency (RF)/underwater wireless optical communication (UWOC) system using a decode-and-forward (DF) relay is analyzed.
Abstract: The secrecy performance is analyzed for a two-hop mixed radio frequency (RF)/underwater wireless optical communication (UWOC) system using a decode-and-forward (DF) relay. All RF and UWOC links are modeled by the $\alpha -\mu $ and exponential-generalized Gamma distributions, respectively. We first derive the expressions of a lower bound of secrecy outage probability in closed-form, and these expressions are used to derive asymptotic expressions in simple functions at high signal-to-noise ratio. Moreover, based on the asymptotic expressions, we can numerically determine a suboptimal transmit power for a wide variety of RF and UWOC channel conditions. All analyses are validated using Monte Carlo simulation.
6 citations
TL;DR: An integrated performance evaluation of a decode-and-forward (DF) multi-hop wireless communication system is undertaken over the non-linear generalized α − κ − μ and α −δ − μ -Extreme fading models, resulting in novel closed-form expressions for the amount of fading, channel capacity under various adaptive transmission techniques.
6 citations
TL;DR: It is found that the performance of system improves as dominant specular power and/or number of transmitter antennas increases or the delay constraint parameter decreases, and provides the important insights into the impact of delay constraint and fading parameters on the ER of considered wireless scenario.
Abstract: This paper presents the effective rate (ER) analysis of a multiple input single output (MISO) system over the Beaulieu-Xie (BX) fading. The closed-form expressions were derived for the exact and asymptotic cases (for high and low signal-to-noise ratio (SNR)). The BX fading channel is extremely useful for characterizing small cell networks, hyper-dense networks, and femtocells, etc. It can also be used for modeling the fading channels for high-speed trains. Numerical results were presented using the derived closed-form expressions and compared with the results obtained from Monte Carlo simulations. Our findings illustrated that the analytical results have a close match with simulation results. In addition, the numerical findings also provide the important insights into the impact of delay constraint and fading parameters on the ER of considered wireless scenario. It is found that the performance of system improves as dominant specular power and/or number of transmitter antennas increases or the delay constraint parameter decreases.
4 citations
References
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TL;DR: The aim of this paper is to show that the newly proposed complex fading model provides the best fit for the envelope of a signal propagated in a millimeter wave in a given scenario and to further improve the knowledge of this fading model through the derivation of some of its higher order statistics.
Abstract: The aim of this paper is twofold: 1) to show that the newly proposed ${\alpha } - {\eta } - {\kappa } - {\mu }$ complex fading model provides the best fit for the envelope of a signal propagated in a millimeter wave in a given scenario and 2) to further improve the knowledge of this fading model through the derivation of some of its higher order statistics. The fitting process is carried out based on some field measurements campaigns conducted by independent research groups at the 28 GHz band as well as at the 60 GHz band available elsewhere in the literature. The higher order statistics concern the time derivative of the whole ${\alpha } - {\eta } - {\kappa } - {\mu }$ process with a view at obtaining important metrics, such as level crossing rate, average fade duration, and phase crossing rate. An extensive number of exact formulations for the corresponding statistics are derived. Through a small sample of plots, the flexibility provided by the physically based model becomes evident, showing its potential to be used in a variety of propagation scenarios.
16 citations
09 Mar 2015
TL;DR: A novel closed-form approximate upper bound of D-MIMO system is proposed using the moment matching method and it is demonstrated that the proposed approximate and the asymptotic upper bounds match accurately with the exact analytical expression.
Abstract: In this paper, we provide a Gamma distribution to approximate composite Gamma-Gamma (Generalized-K or K G ) distribution by using the moment matching method. Based on the approximate distribution, we propose a novel closed-form approximate upper bound of D-MIMO system. The proposed upper bound, which enable us to go further manipulations, only involves some simple functions. Starting from the approximate upper bound, we perform a high-SNR analysis and investigate the asymptotic behavior of the capacity in the following two cases: i) the number of receive antennas grows into infinity for the fixed average and total transmit power, and ii) the number of antennas at both ends grow large at a fixed ratio. It is demonstrated that the proposed approximate and the asymptotic upper bounds match accurately with the exact analytical expression.
13 citations
01 Oct 2017
TL;DR: The aim of this paper is to propose a simple and efficient algorithm to generate white samples for the envelope of the α-η-κ-μ fading model via the acceptance-rejection approach, and to validate the accuracy of the generator.
Abstract: The aim of this paper is to propose a simple and efficient algorithm to generate white samples for the envelope of the α-η-κ-μ fading model To this end, capitalizing on results available in the literature, the random number generator is implemented via the acceptance-rejection approach The goodness-of-fit is objectively measured via the Kolmogorov-Smirnov test We also address the performance of a digital communications system over the α-η-κ-μ fading channel in terms of the average bit error rate showing the impact of the fading parameters as an application for the random sequence generator Theoretical and simulation results are contrasted, validating the accuracy of the generator
9 citations
"Effective Throughput Analysis of α ..." refers background in this paper
...It should be noted that despite the expression for the PDF of α-η-κ-μ RV in (1) consists of infinite number of terms, it converges fast only with limited terms [17]....
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