Multihop Weibull-fading communications: Performance analysis framework and applications

Soulimani, Abdelaziz; Benjillali, Mustapha; Chergui, Hatim; Costa, Daniel Benevides da

doi:10.1016/j.jfranklin.2021.08.004

Cited by 13 publications

(5 citation statements)

References 19 publications

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“…In this section, theoretical curves as a function of the average SNR, γ = E[Γ], are shown and corroborated by Monte-Carlo simulations under different channel parameters and pointing errors. In our simulations, the Fox H-function implementation available in [19] is considered. Curves for the average BEP under the binary phase shift keying (BPSK) scheme, OP, and average ergodic channel capacity are presented in Figs.…”

Section: Numerical Resultsmentioning

confidence: 99%

A Unified Analysis of Fox H-Fading With Beam Misalignment: Theory and Applications

Silva,

Queiroz,

Figueiredo

et al. 2023

IEEE Open J. Veh. Technol.

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This paper presents a unified analysis of the Fox H-fading channel with beam misalignment. A statistical framework is introduced that includes new expressions for the probability density function, cumulative distribution function, higher-order moments of the envelope/instantaneous signal-to-noise ratio (SNR), and moment generating function of the instantaneous SNR. The analysis also derives expressions for important metrics such as the bit error probability, outage probability, and ergodic channel capacity, as well as an asymptotic analysis of these metrics. Moreover, this work investigates several special cases and provides a detailed examination of the relationship between the Nakagami-m, α-F, and extended generalized-K fading models and the Fox H-fading distribution. As a result, this analysis facilitates an understanding of how existing work in the literature can be obtained as particular cases of this study. Furthermore, Monte Carlo simulations are conducted to corroborate several curves for different values that characterize the channel and beam misalignment parameters. This presentation helps to extend our understanding of the behavior of the Fox H-fading channel under beam misalignment, which has potential applications in wireless communications and other fields.INDEX TERMS Fox H-fading distribution, beam misalignment, unified analysis.

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Section: Numerical Resultsmentioning

confidence: 99%

A Unified Analysis of Fox H-Fading With Beam Misalignment: Theory and Applications

Silva,

Queiroz,

Figueiredo

et al. 2023

IEEE Open J. Veh. Technol.

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“…The PDF of Z with different parameters is expressed in BFHF, which is given by Equation (5). It's MATLAB implementation is given in ref [37]. It is noted that the mean of the sum of two GGD is the sum of individual mean, written as μ = hμ s + μ n .…”

Section: System Modelmentioning

confidence: 99%

Norm‐based spectrum sensing for cognitive radios under generalised Gaussian noise

et al. 2023

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Cognitive radio (CR) systems are configured to dynamically assess the spectrum utilisation and contribute towards an improved spectrum efficiency. Hence, accurate detection of the incumbent signal in a given channel, popularly known as spectrum sensing (SS), is essential for CR. Here, in the domain of SS, the authors introduce a new goodness‐of‐fit test (GoFT) founded on p‐norm of the observations at the receiver node. To capture the heavy‐tailed nature of noise distribution in practical communication channels, the authors utilise generalised Gaussian distribution (GGD) as a noise model. A novel p‐norm detector (PND) and a geometric power detector (GPD) is proposed and corresponding probability density function (PDF) under GGD is derived. Via Monte Carlo simulations, the authors show a match of the derived PDFs with the simulation results. Using Neyman‐Pearson framework the performances of PND and GPD are compared with an existing differential entropy detector (DED), the well‐known energy detector (ED) and joint correlation and energy detector (CED) under GGD noise model. Evaluation of proposed PND and GPD utilising Monte Carlo simulations indicate a superior performance. Further, the experiments employing real‐world data establish superiority of the proposed detectors as compared to existing techniques. The authors derive and implement an optimised threshold for PND, providing further improvement in performance.

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“…However, these distributions do not adequately emulate the fading behavior at millimeter-wave (mmWave) frequencies. As a consequence, other more general distributions, such as the Weibull distribution, have been considered for these scenarios [ 2 , 3 , 4 ]. In addition, it has been shown that the Weibull distribution is a versatile fading model due to its flexibility and excellent fit to experimental data [ 5 , 6 ].…”

Section: Introductionmentioning

confidence: 99%

On the Performance of Decode-and-Forward Equal-Gain-Combining Relay Systems over Weibull Fading Channels

Lucero

Mora

Garzón

et al. 2023

Sensors

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Relay-assisted wireless communications, where both the relay and the final destiny employ diversity-combining techniques, represent a compelling strategy for improving the signal-to-noise ratio (SNR) for mobile terminals, mainly at millimeter-wave (mmWave) frequency bands. In this sense, this work considers a wireless network that employs a dual-hop decode-and-forward (DF) relaying protocol, in which the receivers at the relay and at the base station (BS) use an antenna array. Moreover, it is considered that the received signals are combined at reception using equal-gain-combining (EGC). Recent works have enthusiastically employed the Weibull distribution so as to emulate the small-scale fading behavior in mmWave frequencies, which also motivates its use in the present work. For this scenario, exact and asymptotic expressions for the system’s outage probability (OP) and average bit error probability (ABEP) are derived in closed form. Useful insights are gained from these expressions. More precisely, they illustrate how the system and fading parameters affect the performance of the DF-EGC system. Monte Carlo simulations corroborate the accuracy and validity of the derived expressions. Furthermore, the mean achievable rate of the considered system is also evaluated via simulations. Useful insights regarding the system performance are obtained from these numerical results.

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Multihop Weibull-fading communications: Performance analysis framework and applications

Cited by 13 publications

References 19 publications

A Unified Analysis of Fox H-Fading With Beam Misalignment: Theory and Applications

A Unified Analysis of Fox H-Fading With Beam Misalignment: Theory and Applications

Norm‐based spectrum sensing for cognitive radios under generalised Gaussian noise

On the Performance of Decode-and-Forward Equal-Gain-Combining Relay Systems over Weibull Fading Channels

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