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The probability density function (PDF) and cumulative distribution function of the sum of L independent but not necessarily identically distributed Gamma variates, applicable to the output statistics of maximal ratio combining (MRC)…

Information Theory · Computer Science 2012-07-19 Imran Shafique Ansari , Ferkan Yilmaz , Mohamed-Slim Alouini , Oğuz Kucur

There are several cases in wireless communications theory where the statistics of the sum of independent or correlated Nakagami-m random variables (RVs) is necessary to be known. However, a closed-form solution to the distribution of this…

Information Theory · Computer Science 2010-05-06 Nikola Zlatanov , Zoran Hadzi-Velkov , George Karagiannidis

The recently introduced independent fluctuating two-ray (IFTR) fading model, consisting of two specular components fluctuating independently plus a diffuse component, has proven to provide an excellent fit to different wireless…

Information Theory · Computer Science 2024-10-28 Maryam Olyaee , Hadi Hashemi , Juan M. Romero-Jerez

Meta-surfaces intend to improve significantly the performance of future wireless networks by controlling the wireless propagation and shaping the radio waves according to the generalized Snell's law. A recent application of meta-surfaces is…

In this paper, the statistical properties of the product of independent and non-identically distributed mixture Gamma (MG) random variables (RVs) are provided first. Specifically, simple exact closed-form expressions for the probability…

Information Theory · Computer Science 2023-03-07 Hussien Al-Hmood , Rafed Sabbar Abbas , H. S. Al-Raweshidy

In this paper we present a bivariate Rician shadowed fading model where the shadowing is assumed to follow a Nakagami-$m$ distribution. We derive exact expressions involving a single integral for both the joint probability density function…

Information Theory · Computer Science 2017-01-12 J. Lopez-Fernandez , J. F. Paris , E. Martos-Naya

We present two alternative formulations for the distribution of the fluctuating two-ray (FTR) fading model, which simplify its statistical characterization and subsequent use for performance evaluation. New expressions for the probability…

Information Theory · Computer Science 2024-10-28 Maryam Olyaee , Juan M. Romero-Jerez , F. Javier Lopez-Martinez , Andrea J. Goldsmith

The sum of correlated gamma random variables appears in the analysis of many wireless communications systems, e.g. in systems under Nakagami-m fading. In this Letter we obtain exact expressions for the probability density function (PDF) and…

Information Theory · Computer Science 2011-03-03 Jose F. Paris

The probability density function (PDF) and cumulative distribution function of the sum of L independent but not necessarily identically distributed squared \eta-\mu variates, applicable to the output statistics of maximal ratio combining…

Information Theory · Computer Science 2012-10-02 Imran Shafique Ansari , Ferkan Yilmaz , Mohamed-Slim Alouini

In this chapter, the authors present the performance of multi-antenna selective combining decode-and-forward (SC-DF) relay networks over independent and identically distributed (i.i.d) Nakagami-m fading channels. The outage probability,…

Information Theory · Computer Science 2014-07-30 E. Soleimani-Nasab , A. Kalantari , M. Ardebilipour

Intelligent Reflecting Surfaces (IRS) are a promising solution to enhance the coverage of future wireless networks by tuning low-cost passive reflecting elements (referred to as {metasurfaces}), thereby constructing a favorable wireless…

Social and Information Networks · Computer Science 2021-06-11 Hazem Ibrahim , Hina Tabassum , Uyen T. Nguyen

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…

Information Theory · Computer Science 2019-10-24 Hongyang Du , Jiayi Zhang , Julian Cheng , Bo Ai

In this work, the product of two independent and non-identically distributed (i.n.i.d) $\kappa - \mu $ shadowed random variables is studied. We derive the series expression for the probability density function (PDF), cumulative distribution…

Information Theory · Computer Science 2022-03-30 Shashank Shekhar , Sheetal Kalyani

In this paper, new exact and approximate moment generating functions (MGF) expression for generalized fading models are derived. Specifically, we consider the ${\eta}-{\lambda}-{\mu}$, ${\alpha}-{\mu}$, ${\alpha}-{\eta}-{\mu}$,…

Information Theory · Computer Science 2017-03-14 Ehab Salahat , Ali Hakam , Nazar Ali , Ahmed Kulaib

In this paper, we derive exact closed-form expressions for the bivariate Nakagami-$m$ cumulative distribution function (CDF) with positive integer fading severity index $m$ in terms of a class of hypergeometric functions. Particularly, we…

Information Theory · Computer Science 2024-10-30 F. J. Lopez-Martinez , D. Morales-Jimenez , E. Martos-Naya , J. F. Paris

We present a novel and accurate approximation for the distribution of the sum of equally correlated Nakagami-m variates. Ascertaining on this result we study the performance of Equal Gain Combining (EGC) receivers, operating over equally…

Information Theory · Computer Science 2009-08-26 Zoran Hadzi-Velkov , Nikola Zlatanov , George K. Karagiannidis

The Gamma-Gamma (GG) distribution has recently attracted the interest within the research community due to its involvement in various communication systems. In the context of RF wireless communications, GG distribution accurately models the…

Information Theory · Computer Science 2009-05-11 Nestor D. Chatzidiamantis , George K. Karagiannidis

In this work, we carry out a unified performance analysis of a dual-hop fixed gain relay system over asymmetric links composed of both radio-frequency (RF) and unified free-space optics (FSO) under the effect of pointing errors. The RF link…

Information Theory · Computer Science 2014-04-07 Emna Zedini , Imran Shafique Ansari , Mohamed-Slim Alouini

The fundamental performance metrics of an intelligent reflective surface (IRS)-aided wireless system are presented. By optimizing the IRS phase-shift matrix, the received signal-to-noise ratio (SNR) is maximized at the destination in the…

Signal Processing · Electrical Eng. & Systems 2020-10-26 Dulaj Gunasinghe , Dhanushka Kudathanthirige , Gayan Amarasuriya Aruma Baduge

In this paper, a very accurate approximation method for the statistics of the sum of M\'{a}laga-$\mathcal{M}$ random variates with pointing error (MRVs) is proposed. In particular, the probability density function of MRV is approximated by…

Information Theory · Computer Science 2020-08-10 Elmehdi Illi , Faissal El Bouanani , Fouad Ayoub
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