The Double Mellin-Barnes Type Integrals and Their Applications to Convolution Theory

Hải, Nguyễn Thanh; Yakubovich, Semyon

doi:10.1142/1425

Cited by 55 publications

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“…In [12], the average Shannon capacity (AC) for MRC over several types of fading particulary Weibull fading channels was obtained in terms of Meijer G-function. Average capacity and other statistical parameters such as fading figure (FF) for several diversity techniques over Nakagami-m fading channel was derived in [13] as infinite series in terms of incomplete gamma function and Meijer G-function [14].…”

Section: Introductionmentioning

confidence: 99%

A new performances analysis for MRC receiver over correlated Weibull multipath fading channels

Bessate

Bouanani

2014

2014 5th Workshop on Codes, Cryptography and Communication Systems (WCCCS)

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In this study, we present a low computation com plexity expressions of many performance indicators of L-branch Maximal Ratio Combining (MRC). We adapt the previous results given for MRC receiver [1] to the case of correlated Weibull fading channels. Additionally, we derive a new formulas for probability density function (PDF) and moment generating function (MGF) of the output SNR in terms of simple polynomial and laguerre generalized function. All the findings are illustrated using MATHEMATICA Software and validated by comparison with earlier results [2].

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Section: Introductionmentioning

confidence: 99%

A new performances analysis for MRC receiver over correlated Weibull multipath fading channels

Bessate

Bouanani

2014

2014 5th Workshop on Codes, Cryptography and Communication Systems (WCCCS)

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“…Property 3 (Conjugacy): For γ ∈ , À m,n p,q s γ f (t) ; P (s) = À m,n p,q t −γ f (t) ; 1, 1, γ | P (s) (10) where α, β, γ | P denotes the elementary operation on the parameter sequence P, defined as…”

Section: B Propertiesmentioning

confidence: 99%

“…(5.1.1)] and Property 1. 10 Remark 3: If P 1 or P 2 boils down to the null sequence P ∅ in Proposition 4, then (28) reduces to À 0,0…”

Section: Proposition 4 (Mellin Operation)mentioning

confidence: 99%

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<inline-formula> <tex-math notation="LaTeX">$H$ </tex-math></inline-formula>-Transforms for Wireless Communication

Jeong

Shin

Win

2015

IEEE Trans. Inform. Theory

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The H-transforms are integral transforms that involve Fox's H-functions as kernels. A large variety of integral transforms can be put into particular forms of the H-transform since H-functions subsume most of the known special functions including Meijer's G-functions. In this paper, we embody the H-transform theory into a unifying framework for modeling and analysis in wireless communication. First, we systematize the use of elementary identities and properties of the H-transform by introducing operations on parameter sequences of H-functions. We then put forth H-fading and degree-2 irregular H-fading to model radio propagation under composite, specular, and/or inhomogeneous conditions. The H-fading describes composite effects of multipath fading and shadowing as a single H-variate, including most of typical models such as Rayleigh, Nakagami-m, Weibull, α-μ, N * Nakagami-m, (generalized) K -fading, and Weibull/gamma fading as its special cases. As a new class of H-variates (called the degree-ζ irregular H-variate), the degree-2 irregular H-fading characterizes specular and/or inhomogeneous radio propagation in which the multipath component consists of a strong specularly reflected or line-of-sight (LOS) wave as well as unequal-power or correlated in-phase and quadrature scattered waves. This fading includes a variety of typical models such as Rician, Nakagami-q, κ-μ, η-μ, Rician/LOS gamma, and κ-μ/LOS gamma fading as its special cases. Finally, we develop a unifying H-transform analysis for the amount of fading, error probability, channel capacity, and error exponent in wireless communication using the new systematic language of transcendental H-functions. By virtue of two essential operations-called Mellin and convolution operations-involved in the Mellin transform and Mellin convolution of two H-functions, the H-transformsfor these performance measures culminate in H-functions. Using the algebraic asymptotic expansions of the H-transform, we further analyze the error probability and capacity at high and low signal-to-noise ratios in a unified fashion.

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“…ABER) derived in [7][8][9][10][11] are accurate, the solution is still an approximation. In [12], average symbol error rate (ASER) and MGF of the output SNR are derived in terms of product and infinite series of Meijer G-functions [21]. Sagias et al [13] derive joint PDF, CDF, and MGF of identically multivariate Weibull distributions.…”

Section: Introductionmentioning

confidence: 99%

Unified analysis of EGC diversity over Weibull fading channels

Bouanani

Ben-Azza

2015

Int J Communication

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SUMMARYIn this paper, the performance analysis based on PDF approach of an L-branch equal gain combiner (EGC) over independent and not necessarily identical Weibull fading channels is presented. Several closed-form approximate expressions are derived in terms of only one Fox H-function as PDF, cumulative distribution function, and moments of the EGC output Signal-to-noise ratio (SNR), outage probability, amount of fading, channel capacity, and the average symbol error rate for various digital modulation schemes. All results are illustrated and verified by simulations using computer algebra systems.

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The Double Mellin-Barnes Type Integrals and Their Applications to Convolution Theory

Cited by 55 publications

References 0 publications

A new performances analysis for MRC receiver over correlated Weibull multipath fading channels

A new performances analysis for MRC receiver over correlated Weibull multipath fading channels

<inline-formula> <tex-math notation="LaTeX">$H$ </tex-math></inline-formula>-Transforms for Wireless Communication

Unified analysis of EGC diversity over Weibull fading channels

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