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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01 Mar 1972
TL;DR: In this article, the authors evaluate an infinite integral whose integrand is a product of the H-function and a double Mellin-Barnes type contour integral, which is one of the most general integrals known so far and includes a large number of new and recently obtained interesting integrals as its particular cases.
Abstract: The aim of the present paper is to evaluate an infinite integral whose integrand is a product of the H-function and a double Mellin-Barnes type contour integral. The integral evaluated here is one of the most general integrals known so far and includes a large number of new and recently obtained interesting integrals as its particular cases. The Laplace-transform of the double Mellin-Barnes type contour integral has also been obtained as a special case of our main result and is likely to prove quite useful in solving certain boundary value problems.
246 citations
TL;DR: A unified analytical expression for the average bit error probability of dual-hop amplify- and-forward relaying systems operating in the presence of both fast fading and shadowing is proposed in terms of the bivariate H-Fox function.
Abstract: In this letter we propose a unified analytical expression for the average bit error probability of dual-hop amplify- and-forward relaying systems operating in the presence of both fast fading and shadowing. In order to provide a realistic end-to- end performance of the considered system we assume that both hops are subject to independent but not necessarily identically distributed Extended Generalized-K fading. Our newly derived formula is obtained in terms of the bivariate H-Fox function. A computationally efficient algorithm to evaluate the average bit error probability is also proposed. The accuracy of the proposed method is substantiated by various numerically evaluated and computer simulation results.
148 citations
"Effective Throughput Analysis of α ..." refers methods in this paper
...:) are respectively the Meijer G-function [20] and Fox H-function [21], Hm,n:r,s:v,up,q:t,u:w,x (·) is the extended generalized bivariate Fox H-function (EGBFHF) that can be evaluated with numerical softwares such as Matlab and Mathematica [22], B(·, ·) denotes the Beta function [23, Eq....
[...]
...797], E[·] represents the expectation operation, Gm,n p,q (·| :) and H m,n p,q (·| :) are respectively the Meijer G-function [20] and Fox H-function [21], H p,q:t,u:w,x (·) is the extended generalized bivariate Fox H-function (EGBFHF) that can be evaluated with numerical softwares such as Matlab and Mathematica [22], B(·, ·) denotes the Beta function [23, Eq....
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TL;DR: The obtained results reveal the importance of taking the eavesdropper location uncertainty into consideration while designing V2V communication systems.
Abstract: In this letter, we study the physical layer secrecy performance of the classic Wyner’s wiretap model over double Rayleigh fading channels for vehicular communications links. We derive novel and closed-form expressions for the average secrecy capacity (ASC) taking into account the effects of fading, path loss, and eavesdropper location uncertainty. The asymptotic analysis for ASC is also conducted. The derived expressions can be used for secrecy capacity analysis of a number of scenarios including vehicular-to-vehicular (V2V) communications. The obtained results reveal the importance of taking the eavesdropper location uncertainty into consideration while designing V2V communication systems.
100 citations
[...]
TL;DR: In this paper, the authors studied the existence of the H -function as defined by the Mellin-Barnes integral and derived conditions for its existence near zero and infinity, respectively.
Abstract: This paper is devoted to the study of the H -function as defined by the
Mellin-Barnes integral
H p , q m , n ( z ) = 1 2 π i ∫ ℒ ℋ p , q m , n ( s ) z − s d s ,
where the function ℋ p , q m , n ( s ) is a certain ratio of products of the Gamma-functions with the argument s and the contour ℒ specially chosen. The
conditions for the existence of H p , q m , n ( z ) are discussed and explicit power
and power-logarithmic series expansions of H p , q m , n ( z ) near zero and infinity
are given. The obtained results define more precisely the known results.
87 citations
TL;DR: This paper provides a comprehensive survey on existing works, that use the Effective capacity (EC) model in various wireless networks, and summarizes the work related to EC for different networks, such as cognitive radio networks (CRNs), cellular networks, relay networks, adhoc Networks, and mesh networks.
Abstract: Low latency applications, such as multimedia communications, autonomous vehicles, and Tactile Internet are the emerging applications for next-generation wireless networks, such as 5th generation (5G) mobile networks. Existing physical-layer channel models, however, do not explicitly consider quality-of-service (QoS) aware related parameters under specific delay constraints. To investigate the performance of low-latency applications in future networks, a new mathematical framework is needed. Effective capacity (EC), which is a link-layer channel model with QoS-awareness, can be used to investigate the performance of wireless networks under certain statistical delay constraints. In this paper, we provide a comprehensive survey on existing works, that use the EC model in various wireless networks. We summarize the work related to EC for different networks, such as cognitive radio networks (CRNs), cellular networks, relay networks, adhoc networks, and mesh networks. We explore five case studies encompassing EC operation with different design and architectural requirements. We survey various delay-sensitive applications, such as voice and video with their EC analysis under certain delay constraints. We finally present the future research directions with open issues covering EC maximization.
72 citations