Performance of diversity receivers in generalised gamma fading channels

Aalo, Valentine A.; Efthymoglou, George P.; Piboongungon, T.; Iskander, C.-D.

doi:10.1049/iet-com:20050235

Cited by 32 publications

(14 citation statements)

References 20 publications

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“…] Àb =(1 À r). Note that for b ¼ 2 and r ¼ 0, (11) agrees with a previously derived result [21,Equation (20)].…”

Section: Weibull Channel Modelsupporting

confidence: 91%

“…There are various useful works studying the performance of diversity receivers over independent [8,11,12] and correlated [9,13,14] GG fading channels. In [11], the performance of M-ary modulation schemes has been analysed for selection combining (SC), maximal ratio combining (MRC) and equal gain combining (EGC), whereas in [8], switch-and-stay combining over not necessarily identically distributed (id) GG fading channels has been studied. In [12], closed-form union bounds have been derived for the distribution of the sum of independent GG random variables (RVs) and have been applied to the performance analysis of EGC diversity receivers.…”

Section: Introductionmentioning

confidence: 99%

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Performance analysis of dual-diversity receivers over correlated generalised Gamma fading channels

2008

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The performance of dual-branch equal-gain combining (EGC) and maximal-ratio combining receivers operating over a composite correlated fading environment, modelled by the generalised Gamma (GG) distribution, is analysed. The moments of the output signal-to-noise ratio are derived in closed form for both types of receivers, and by employing the Padé approximants method, the average bit error probability is studied for a great variety of modulation schemes. Furthermore, based on the statistic of the product of two correlated GG random variables, a tight union upper bound for the outage probability of the EGC is obtained, whereas for the special case of Weibull fading a simpler bound is derived in closed form. The proposed mathematical analysis is complemented by various, numericaly evaluated performance results, whereas simulations verify the correctness of the proposed analysis. Channel modelLet us consider a dual-branch diversity receiver operating in a correlated fading environment modelled by the bivariate #

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“…] Àb =(1 À r). Note that for b ¼ 2 and r ¼ 0, (11) agrees with a previously derived result [21,Equation (20)].…”

Section: Weibull Channel Modelsupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Performance analysis of dual-diversity receivers over correlated generalised Gamma fading channels

2008

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“…12 In fact, (85) coincides with the condition that the integral ∞ Theorem 1 enables to generate H -variates using simple known random variables (e.g., gamma and exponential distributions) as generating random variables. A new class of H -variates is now introduced to account for specular or inhomogeneous radio propagation conditions [63]- [67].…”

Section: Definition 3 (Factorizable Random Variables)mentioning

confidence: 88%

<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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“…Therefore, we replace the 10(z) = t;r(k+l)k! "2 ' (10) where ro is the gamma function. Hence, the PDF of amplitude distribution becomes…”

Section: Analysis Of New Simple Formmentioning

confidence: 99%

New simple form for PDF and MGF of Rician fading distribution

Wongtrairat

Supnithi

2011

2011 International Symposium on Intelligent Signal Processing and Communications Systems (ISPACS)

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This paper provides the novel simple expressions for the probability density function (PDF) and the moment generating function (MGF) of Rician fading. The new representation for PDF has a finite series form. The new form of the Rician PDF is applied to give the new expression for the MGF and average bit error probability (BEP) in terms of Meijer's Gfunction. The results from the novel analytical and integral form, performed to verify the accuracy of the proposed formulation, are in perfect agreement. The novel closed form expression advantage is in low complexity and simplicity in computation. This new solution can also be applied to use with other distributions such as double Rician distribution and Tc-f.l distribution.

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Performance of diversity receivers in generalised gamma fading channels

Cited by 32 publications

References 20 publications

Performance analysis of dual-diversity receivers over correlated generalised Gamma fading channels

Performance analysis of dual-diversity receivers over correlated generalised Gamma fading channels

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

New simple form for PDF and MGF of Rician fading distribution

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