2019
DOI: 10.1109/access.2019.2907891
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Ratio of Two Envelopes Taken From $\alpha$ -$\mu$ , $\eta$ -$\mu$ , and $\kappa$ -$\mu$ Variates and Some Practical Applications

Abstract: In this paper, new, exact expressions for the probability density functions and the cumulative distribution functions of the ratio of random envelopes involving the α-µ, η-µ, and κ-µ fading distributions are derived. The expressions are obtained in terms of easily computable infinite series and also in terms of the multivariable Fox H-function. Some special cases of these ratios, namely, Hoyt/Hoyt, η-µ/Nakagami-m, κ-µ/Nakagami-m, κ-µ/η-µ with an integer µ for the η-µ variate, η-µ/η-µ with an integer µ for only… Show more

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Cited by 18 publications
(24 citation statements)
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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%
“…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%
“…• 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%
“…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%