Outage Probability of the Product of Two Beaulieu–Xie, $\eta$–$\mu$, $\kappa$–$\mu$, or $\alpha$–$\mu$ Random Variables

Silva, Hugerles S.; Almeida, Danilo Brito Teixeira de; Queiroz, Wamberto J. L.; Fonseca, Iguatemi E.; Oliveira, Arnaldo S. R.; Madeiro, Francisco

doi:10.1109/lawp.2020.3026967

Cited by 9 publications

(5 citation statements)

References 18 publications

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“…COMPLEXITY ANALYSIS A comparison between the complexity of the OP and EC of this work and the exact expressions is shown in Table I. In this table, Ψ(k) = M (k log k) log log k, k is the number of digits, M refers to the complexity of the multiplication algorithm and HT denotes the higher transcendental functions (e.g., Gamma, Beta, Meijer's G, and hypergeometric) [21].…”

Section: E Average Auc Of Energy Detectionmentioning

confidence: 99%

Unified Composite Distribution With Applications to Double Shadowed $\kappa$-$\mu$ Fading Channels

Al‐Hmood¹,

Al-Raweshidy

2021

IEEE Trans. Veh. Technol.

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In this paper, a mixture Gamma shadowed (MGS) model is proposed as a unified composite distribution via representing the shadowing impact by an inverse Nakagami-m. The exact expression and the asymptotic behaviour at high average signal-to-noise ratio (SNR) regime of the fundamental statistics of a MGS distribution are derived first. These statistics are then applied to analyze the performance of the wireless communication systems over double shadowed κ-µ fading channels. In particular, the outage probability (OP), average bit error probability (ABEP), average channel capacity (ACC), effective capacity (EC) and average area under the receiver operating characteristics curve (AUC) of energy detection (ED) are provided. The numerical and simulation results as well as a comparison with previous exact works are presented to verify the validation of our analysis.Index Terms-Mixture Gamma shadowed, double shadowed κ-µ fading, average bit error probability, capacity analysis. I. INTRODUCTIONT HE wireless communications channel may undergo the effect of the multipath and shadowing fading simultaneously [1]. Accordingly, many works have been dedicated to analyze the performance of the communication systems over generalized fading channels, such as, κ-µ and η-µ [2]. These generalized conditions can provide close results to the practical measurements and approximately comprise all the classical fading distributions. Hence, the probability density function (PDF), cumulative distribution function (CDF), and moment generating function (MGF) of the composite η-µ/Gamma fading models were derived in [3] with applications to the outage probability (OP), average bit error probability (ABEP) and average channel capacity (ACC). The PDF and CDF of composite κ-µ/Gamma fading were presented in [4]. The statistics of the κ-µ shadowed fading in which the dominant components are shadowed by a Nakagami-m were given in [5]. The authors in [6] assumed that both κ-µ and η-µ fading models are shadowed by an inverse Gamma distribution.Recently, several studies have been explained that the fading channels may subject to double shadowing impacts at the same time. For example, in [7], the statistical properties of the double shadowed Rician fading channel were derived. In [8],

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Section: E Average Auc Of Energy Detectionmentioning

confidence: 99%

Unified Composite Distribution With Applications to Double Shadowed $\kappa$-$\mu$ Fading Channels

Al‐Hmood¹,

Al-Raweshidy

2021

IEEE Trans. Veh. Technol.

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“…

\alpha -\mu, \kappa -\mu

, and

\eta -\mu

were formulated in Reference 29. On an extension, the outage probability analysis over the product of two Beaulieu‐Xie RVs along with previous distributions is carried out in Reference 30. In Reference 25, different statistics like PDF, CDF, and MGF over generalized

N

cascaded

\alpha -\mu

model are derived and it also emulates different cascaded distributions such as Rayleigh, Nakagami‐m, and Weibull distributions.…”

Section: Introductionmentioning

confidence: 99%

Reliability analysis of cascaded η − μ fading channels

Upaddhyay

Soni

Tiwari³

2022

Trans Emerging Tel Tech

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In this work, the mathematical characterization of the cascaded ηprefix−μ$$ \eta -\mu $$ fading channel based on multiplicative modeling is discussed. The proposed cascaded ηprefix−μ$$ \eta -\mu $$ probability density function is derived by taking the product of N$$ N $$ statistically independent, but not necessarily identically distributed ηprefix−μ$$ \eta -\mu $$ fading random variables, which encompasses various well‐known distributions as cascaded Nakagami‐m, Hoyt, and Rayleigh distributions. In particular, other statistical measures such as cumulative distribution function, moment generating function, and moment of the cascaded channels, are developed. This set of derived results is further utilized in studying the reliability performance of the wireless cascaded fading channels. The system reliability is comprehensively investigated through various statistical metrics like average symbol error probability, ergodic capacity, outage probability, and effective capacity. All the developed results are of intractable univariate Foxs H‐function form. The accuracy of the numerical results is extensively validated through Monte‐Carlo simulation.

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“…In [35], the closed expressions for the asymptotic upper and lower bounds of the OP and the error probability of the BX fading were deduced. The theoretical expression of the OP for two BX random variables was investigated in [36]. The authors of [37] explored precise and progressive expressions for the effective rate of MIMO networks over BX distribution.…”

Section: Introductionmentioning

confidence: 99%

Physical Layer Security for CRNs over Beaulieu-Xie Fading Channels

Zeng

Hua

Fang³

et al. 2022

Wireless Communications and Mobile Computing

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In recent years, the access of massive communication devices leads to the insufficient spectrum resources of wireless networks. One of the practical means to resolve the problem is to build cognitive radio networks (CRNs), which can realize the sharing of spectrum resources between primary and secondary users, thereby improving the utilization rate of wireless spectrum resources. To this end, the CRNs are utilized to establish the Wyner’s eavesdropping model over the Beaulieu-Xie fading channels. We mainly deduce the accurate expressions of secrecy outage probability and strictly positive secrecy capacity to explore the performance of physical layer security. Moreover, the better overlap between the statistical simulation and the theoretical results indicates the correctness of the theoretical analysis equation. The interesting results are that both increasing the P max and decreasing the C t h can improve the security performance. This work is a good reference and guidance for modeling CRNs (Internet of Things, fifth generation, cell phone networks, etc.) and security performance evaluation.

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Outage Probability of the Product of Two Beaulieu–Xie, $\eta$–$\mu$, $\kappa$–$\mu$, or $\alpha$–$\mu$ Random Variables

Cited by 9 publications

References 18 publications

Unified Composite Distribution With Applications to Double Shadowed $\kappa$-$\mu$ Fading Channels

Unified Composite Distribution With Applications to Double Shadowed $\kappa$-$\mu$ Fading Channels

Reliability analysis of cascaded η − μ fading channels

Physical Layer Security for CRNs over Beaulieu-Xie Fading Channels

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