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Journal ArticleDOI

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.

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Citations
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Journal ArticleDOI
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

Journal ArticleDOI
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

Journal ArticleDOI
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

Journal ArticleDOI
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

Journal ArticleDOI
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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Journal ArticleDOI
TL;DR: In this paper, a closed form approximation for EC in quasi-static Rayleigh fading channels is presented and the upper bounds for EC and delay constraint when varying transmission power are derived.
Abstract: Effective capacity (EC) determines the maximum communication rate subject to a particular delay constraint. In this paper, we analyze the EC of ultra reliable machine type communication networks operating in the finite blocklength regime. First, we present a closed form approximation for EC in quasi-static Rayleigh fading channels. Our analysis determines the upper bounds for EC and delay constraint when varying transmission power. Finally, we characterize the power-delay tradeoff for fixed EC and propose an optimum power allocation scheme which exploits the asymptotic behavior of EC in the high SNR regime. The results illustrate that the proposed scheme provides significant power saving with a negligible loss in EC.

24 citations

Journal ArticleDOI
TL;DR: A closed-form expression for the Shannon capacity of MIMO systems is derived using STBC under independent and quasi-static flat Rayleigh fading channels, thereby avoiding the need for numerical integration or Monte Carlo simulation.
Abstract: Space-time block coding (STBC) is a powerful transmit diversity scheme for multiple antenna systems. A closed-form expression for the Shannon capacity of MIMO systems is derived using STBC under independent and quasi-static flat Rayleigh fading channels. The Shannon capacity of STBC over such channels is expressed as a finite sum of functions that are easy to evaluate, thereby avoiding the need for numerical integration or Monte Carlo simulation.

23 citations


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

  • ...Then, the average SNR per receiving antenna can be written as γ STBC = PT σ 2 [30]....

    [...]

  • ...Under the Rayleigh fading assumption, ‖H‖(2)F is the sum of 2 NtNr independent χ2 RVs and is thus χ2-distributed with 2 NtNr degrees of freedom [30]....

    [...]

Journal ArticleDOI
TL;DR: In this article, the secrecy performance of the classical Wyner's wiretap model was investigated, where the main channel and eavesdropper channel experience correlated π − π - π fading.
Abstract: This letter investigates the secrecy performance of the classical Wyner’s wiretap model, where the main channel and eavesdropper channel experience correlated $\alpha $ - $\mu $ fading. Novel and exact expressions for the average secrecy capacity and secrecy outage probability are derived for the considered realistic scenario. The effect of correlation has been studied on the secrecy performance. Useful insights into the system performance are obtained through the asymptotic analysis.

21 citations

Journal ArticleDOI
28 Mar 2017-Sensors
TL;DR: This paper investigates the end-to-end average bit error rate (BER) and the channel capacity of a multi-hop relay network in the presence of impulsive noise modeled by the well-known Middleton’s class-A model.
Abstract: ©2017 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC-BY) license (http://creativecommons.org/licenses/by/4.0/).

21 citations


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

  • ...Gamma RVs with shape parameters mt is another Gamma RV with parameter ∑Nt t=1 mt [31]....

    [...]

Journal ArticleDOI
TL;DR: A spectral-estimation-based algorithm to estimate the EC function, given channel measurements, and the effect of spectral estimation error on the accuracy of EC estimation is analyzed, indicating the excellent practicality of this algorithm.
Abstract: The next generation wireless networks call for quality of service (QoS) support The effective capacity (EC) proposed by Wu and Negi provides a powerful tool for the design of QoS provisioning mechanisms In their previous work, Wu and Negi derived a formula for effective capacity of a Rayleigh fading channel with arbitrary Doppler spectrum However, their paper did not provide simulation results to verify the accuracy of the EC formula derived in their paper This is due to difficulty in simulating a Rayleigh fading channel with a Doppler spectrum of continuous frequency, required by the EC formula To address this difficulty, we develop a verification methodology based on a new discrete-frequency EC formula; different from the EC formula developed by Wu and Negi, our new discrete-frequency EC formula can be used in practice Through simulation, we verify that the EC formula developed by Wu and Negi is accurate Furthermore, to facilitate the application of the EC theory to the design of practical QoS provisioning mechanisms in wireless networks, we propose a spectral-estimation-based algorithm to estimate the EC function, given channel measurements; we also analyze the effect of spectral estimation error on the accuracy of EC estimation Simulation results show that our proposed spectral-estimation-based EC estimation algorithm is accurate, indicating the excellent practicality of our algorithm Copyright © 2010 John Wiley & Sons, Ltd

19 citations


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

  • ...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]....

    [...]