Performance analysis of dual-hop AF relaying over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.svg"><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si6.svg"><mml:mrow><mml:mi>μ</mml:mi></mml:mrow></mml:math> fading channels

Alvi, Sajid Hussain; Wyne, Shurjeel; Costa, Daniel Benevides da

doi:10.1016/j.aeue.2019.06.013

Cited by 11 publications

(7 citation statements)

References 12 publications

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“…and s 2 = 0, −µ t , and φ−αtµt αt . Simplifying the derived residues, we present the asymptotic expression in (15). It should be emphasized that the consideration of all the poles may result into our asymptotic analysis close to the exact for a wide range of SNR.…”

Section: −αRµr+αtµt+αtu2 2αrmentioning

confidence: 91%

“…. Similar to the asymptotic expression of the outage probability, we derive the average BER at the high SNR BER ∞ in terms of simpler Gamma function, as given in (15), and the corresponding diversity order as min αrµr 2 , αtµt 2 , φ 2 .…”

Section: Average Bermentioning

confidence: 99%

“…The authors in [14] analyzed the THz-THz dual-hop system with fixed-gain relaying considering zero-boresight pointing errors. It should be mentioned that the AF relaying has been extensively studied for various wireless technologies such as RF-RF [13], [15], RF-free space optics (FSO) [16], [17], RFpower line communications (PLC) [18], mmWave-FSO [19], [20], PLC-visible light communications (VLC) [21], and RFunderwater wireless communications (UWOC) [22].…”

Section: Introductionmentioning

confidence: 99%

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Fixed-Gain AF Relaying for RF-THz Wireless System over $α$-$κ$-$μ$ Shadowed and $α$-$μ$ Channels

Bhardwaj¹,

Zafaruddin²

2021

Preprint

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Recent research investigates the decode-and-forward (DF) relaying for mixed radio frequency (RF) and terahertz (THz) wireless links with zero-boresight pointing errors. In this letter, we analyze the performance of a fixed-gain amplify-andforward (AF) relaying for the RF-THz link to interface the access network on the RF technology with wireless THz transmissions. We develop probability density function (PDF) and cumulative distribution function (CDF) of the end-to-end SNR for the relayassisted system in terms of bivariate Fox's H function considering α-µ fading for the THz system with non-zero boresight pointing errors and α-κ-µ shadowed (α-KMS) fading model for the RF link. Using the derived PDF and CDF, we present exact analytical expressions of the outage probability, average bit-error-rate (BER), and ergodic capacity of the considered system. We also analyze the outage probability and average BER asymptotically for a better insight into the system behavior at high SNR. We use simulations to compare the performance of the AF relaying having a semi-blind gain factor with the recently proposed DF relaying for THz-RF transmissions.

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Section: −αRµr+αtµt+αtu2 2αrmentioning

confidence: 91%

Section: Average Bermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fixed-Gain AF Relaying for RF-THz Wireless System over $α$-$κ$-$μ$ Shadowed and $α$-$μ$ Channels

Bhardwaj¹,

Zafaruddin²

2021

Preprint

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“…Even though other distributions have been recently discussed as models for fast and slow fading processes [9], the α-µ distribution is still of great importance due to its simplicity easy of use. The α-µ fading model [10] has been proposed in order to provide a more realistic analysis of the propagated signal [11]. In several propagation environments, the α-µ model better accommodates the statistical variations of the propagated signal [12].…”

Section: The α-µ Distributionmentioning

confidence: 99%

“…The restrictions on ν and ρ are easily surpassed when any of these numbers is an irrational number or when the number of decimal digits of the numbers involved is high enough such that the remaining terms of the summation are negligible. The series in (11) can also be obtained for the H-function representation in (6) by using the residue theorem to evaluate the contour integral [18] (with simple poles). Thus, a series representation for the PDF of the composite α-µ/α-µ distribution can be given in (12).…”

Section: Series Representationsmentioning

confidence: 99%

Revisiting the Lognormal Modelling of Shadowing Effects during Wireless Communications by Means of the α-μ/α-μ Composite Distribution

2021

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Properly modeling the shadowing effects during wireless transmissions is crucial to perform the network quality assessment. From a mathematical point of view, using composite distributions allows one to combine both fast fading and slow fading stochastic phenomena. Numerous statistical distributions have been used to account for the fast fading effects. On the other hand, even though several studies indicate the adequacy of the Lognormal distributon (LNd) as a shadowing model, they also reveal this distribution renders some analytic tractability issues. Past works include the combination of Rayleigh and Weibull distributions with LNd. Due to the difficulty inherent to obtaining closed form expressions for the probability density functions involved, other authors approximated LNd as a Gamma distribution, creating Nakagami-m/Gamma and Rayleigh/Gamma composite distributions. In order to better mimic the LNd, approximations using the inverse Gamma and the inverse Nakagami-m distributions have also been considered. Although all these alternatives were discussed, it is still an open question how to effectively use the LNd in the compound models and still get closed-form results. We present a novel understanding on how the α-μ distribution can be reduced to a LNd by a limiting procedure, overcoming the analytic intractability inherent to Lognormal fading processes. Interestingly, new closed-form and series representations for the PDF and CDF of the composite distributions are derived. We build computational codes to evaluate all the expression hereby derived as well as model real field trial results by the equations developed. The accuracy of the codes and of the model are remarkable.

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Moments and outage analysis of NOMA-based AF relaying system over Nakagami-m fading channels

Alvi¹

2023

AEU - International Journal of Electronics and Communications

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Performance analysis of dual-hop AF relaying over α-μ fading channels

Cited by 11 publications

References 12 publications

Fixed-Gain AF Relaying for RF-THz Wireless System over $α$-$κ$-$μ$ Shadowed and $α$-$μ$ Channels

Fixed-Gain AF Relaying for RF-THz Wireless System over $α$-$κ$-$μ$ Shadowed and $α$-$μ$ Channels

Revisiting the Lognormal Modelling of Shadowing Effects during Wireless Communications by Means of the α-μ/α-μ Composite Distribution

Moments and outage analysis of NOMA-based AF relaying system over Nakagami-m fading channels

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