Ratio of Two Envelopes Taken From $\alpha$ -$\mu$ , $\eta$ -$\mu$ , and $\kappa$ -$\mu$  Variates and Some Practical Applications

Silva, Carlos Rafael Nogueira da; Simmons, David E.; Leonardo, Elvio J.; Cotton, Simon L.; Yacoub, M.D.

doi:10.1109/access.2019.2907891

Cited by 18 publications

(24 citation statements)

References 30 publications

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“…Accordingly, this notable flexibility allows the model to adapt to circumstances to which neither of the traditional distributions yields good fit 2‐5 . Moreover, its suitability has been confirmed by several field measurements performed in diverse propagation scenarios, indicating that the α ‐ μ model better predicts the statistical variations of the radio signal 2‐8 …”

Section: Introductionmentioning

confidence: 83%

Approximations for the product, ratio, and sum ofα‐μrandom variables with application in the analysis of cognitive radio networks

Leonardo

Mafra

Montejo‐Sánchez

et al. 2021

Int J Communication

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Summary Novel methods to approximate the probability density function of the product, ratio, and sum of α‐μ random variables are presented in this article. The approximations are simple to compute and produce results that range from fairly accurate to perfectly accurate, depending on the parameters of the involved α‐μ distributions. In addition, as an application of the results, it is investigated the performance of a cooperative cognitive network in which the secondary source and the relays are energy‐constrained nodes and harvest their energy from the primary network.

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Section: Introductionmentioning

confidence: 83%

Approximations for the product, ratio, and sum ofα‐μrandom variables with application in the analysis of cognitive radio networks

Leonardo

Mafra

Montejo‐Sánchez

et al. 2021

Int J Communication

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“…• For future work other decoding schemes such as Successive Cancelation List decoding can be used [29] as well as generalized fading channel distributions [30].…”

Section: Discussionmentioning

confidence: 99%

Combined Polar Codes and 2-12 QAM over AWGN and Rayleigh Fading Channels

Oliveira

Alcoforado

Markarian

et al. 2021

Preprint

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This article investigates a communication system using polar codes combined with a 2-12 QAM modulation scheme over channels disturbed by additive white Gaussian noise (AWGN) as well as over channels disturbed by Rayleigh fading in addition to AWGN. The 2-12 QAM modulation is compatible with legacy 16 QAM still widely used, and when combined with appropriate error correcting codes produces results that approach the Shannon limit.

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“…Although the numerical evaluation for multivariate Foxs H-function is not available in popular mathematical packages such as MATLAB and Mathematica, its efficient implementations have been reported. For example, two Mathematica implementations of the single Foxs H-function are provided in [14] and [15], a Python implementation for the multivariable Foxs H-function is presented in [16], and an efficient GPUoriented MATLAB routine for the multivariate Foxs H-function is introduced in [17]. In the following, we will utilize these novel implementations to evaluate our results.…”

Section: B Multivariable Fox's H-functionmentioning

confidence: 99%

Sum of Fisher-Snedecor F Random Variables and Its Applications

Zhang

Cheng

et al. 2020

IEEE Open J. Commun. Soc.

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The statistical characterization of the sum of random variables (RVs) are useful for investigating the performance of wireless communication systems. We derive exact closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of a sum of independent but not identically distributed (i.n.i.d.)Fisher-Snedecor F RVs. Both PDF and CDF are given in terms of the multivariate Fox's H-function. Besides, a simple and accurate approximation to the sum of i.n.i.d. Fisher-Snedecor F variates is presented using the moment matching method. The obtained PDF and CDF are used to evaluate the performance of wireless communication applications including the outage probability, the effective capacity and the channel capacities under four different adaptive transmission strtegies. Moreover, the corresponding approximate expressions are obtained to provide useful insights for the design and deployment of wireless communication systems. In addition, we derive simple asymptotic expressions for the proposed mathematical analysis in the high signal-to-noise ratio regime. Finally, the numerical results demonstrate the accuracy of the derived expressions. Index TermsChannel capacity, effective capacity, Fisher-Snedecor F -distribution, sum of random variables, Recently, the Fisher-Snedecor F distribution was proposed [1] as a tractable fading model to describe the combined effects of shadowing and multipath fading. This distribution can be reduced to some common ). 2 fading models, such as Nakagami-m and Rayleigh fading channels. Furthermore, it is found in [1] that the F distribution can provide a better fit to the experimental data obtained for device-to-device (D2D) and wearable communication links, especially at 5.8 GHz, as compared with the well established generalized-K (GK) distribution. In addition, its probability density function (PDF) consists of only elementary functions and it leads to more tractable analysis than the GK model [1]. Due to its promising properties, the performance of digital communication systems over F distributed fading channels has been analyzed in [2]-[5] and the references therein. The sum of random variables (RVs) has a wide range of important applications in the performance analysis of wireless communication systems. For example, to enhance the quality of the received signal, maximal-ratio combining (MRC) can be deployed at the receiver to maximize the combiner output signalto-noise ratio (SNR) [6]. The system with MRC receiver operating over different fading channels has been extensively studied [7]-[12]. The PDF and CDF of the sum of Fisher-Snedecor F RVs has been derived in terms of Lauricella multivariate hypergeometric function [13]. However, there results are difficult to be used in the performance analysis of MRC systems over Fisher-Snedecor F fading channels due to the complex of the Lauricella multivariate hypergeometric function. Moreover, authors in [13] obtain outage probability (OP) and outage capacity expressions involving L-fold Mellin-Barnes...

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Ratio of Two Envelopes Taken From $\alpha$ -$\mu$ , $\eta$ -$\mu$ , and $\kappa$ -$\mu$ Variates and Some Practical Applications

Cited by 18 publications

References 30 publications

Approximations for the product, ratio, and sum ofα‐μrandom variables with application in the analysis of cognitive radio networks

Approximations for the product, ratio, and sum ofα‐μrandom variables with application in the analysis of cognitive radio networks

Combined Polar Codes and 2-12 QAM over AWGN and Rayleigh Fading Channels

Sum of Fisher-Snedecor F Random Variables and Its Applications

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