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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

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

We show that the popular and general {\kappa}-{\mu} shad- owed fading model with integer fading parameters {\mu} and m can be represented as a mixture of squared Nakagami (or Gamma) distributions. Thus, its PDF and CDF can be expressed in…

Information Theory · Computer Science 2024-10-30 F. Javier Lopez-Martinez , Jose F. Paris , Juan M. Romero-Jerez

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

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

This paper presents exact formulas for the probability distribution function (PDF) and moment generating function (MGF) of the sum-product of statistically independent but not necessarily identically distributed (i.n.i.d.) Nakagami-$m$…

Information Theory · Computer Science 2024-05-28 Hamid Amiriara , Mahtab Mirmohseni , Farid Ashtiani , Masoumeh Nasiri-Kenari

We derive a fully analytical, one-line closed-form expression for the cumulative distribution function (CDF) of the product of two correlated zero-mean normal random variables, avoiding any series representation. This result complements the…

Probability · Mathematics 2025-09-15 Erdinc Akyildirim , Alper Hekimoglu

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

In this paper, we consider the downlink in a K-tier heterogeneous network in the presence of Nakagami-m fading and noise. For such a system, we derive closed-form approximations of coverage probability and average rate achievable. A…

Information Theory · Computer Science 2016-04-26 G. V. S. S. Praneeth Varma , G. V. V. Sharma , A. Kumar

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

The research presents a procedure of the closed-form average bit error rate evaluation for wireless communication systems in the presence of multipath fading. A generalization of the classical moment generating function is applied, and a…

Information Theory · Computer Science 2022-08-01 Aleksey S. Gvozdarev

Utilizing relaying techniques to improve performance of wireless systems is a promising avenue. However, it is crucial to understand what type of relaying schemes should be used for achieving different performance objectives under realistic…

Information Theory · Computer Science 2011-04-04 George C. Alexandropoulos , Agisilaos Papadogiannis , Paschalis C. Sofotasios

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

In this paper, we develop an accurate closed-form analytic expression of the outage probability for each source-destination (S-D) pair in the two S-D pairs two relays wireless network, where cooperative network coding is applied over…

Information Theory · Computer Science 2024-06-14 Elias Benamira , Fatiha Merazka , Güneş Karabulut Kurt

This paper addresses the problem of rate selection for the cooperative hybrid automatic repeat request with chase combination (HARQ-CC) system, where time correlated Nakagami-m fading channels are considered. To deal with this problem, the…

Information Theory · Computer Science 2015-03-12 Zheng Shi , Shaodan Ma , Kam-Weng Tam

This paper presents a new connection between the generalized Marcum-Q function and the confluent hypergeometric function of two variables, phi3. This result is then applied to the closed-form characterization of the bivariate Nakagami-m…

Information Theory · Computer Science 2020-04-02 D. Morales-Jimenez , F. J. Lopez-Martinez , E. Martos-Naya , J. F. Paris , A. Lozano

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

We present novel exact expressions and accurate closed-form approximations for the level crossing rate (LCR) and the average fade duration (AFD) of the double Nakagami-m random process. These results are then used to study the second order…

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

Rate outage probability is an important performance metric to measure the level of quality of service (QoS) in the 4th Generation (4G) broadband access networks. Thus, in this paper, we calculate a closed form expression of the rate outage…

Networking and Internet Architecture · Computer Science 2013-04-03 Mohammad Hayajneh , Najah AbuAli

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
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