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We consider the problem of evaluating the cumulative distribution function (CDF) of the sum of order statistics, which serves to compute outage probability (OP) values at the output of generalized selection combining receivers. Generally,…

Computation · Statistics 2017-11-15 Nadhir Ben Rached , Zdravko Botev , Abla Kammoun , Mohamed-Slim Alouini , Raul Tempone

NOMA is as a strong candidate for the Future Radio Access Network (FRA) due to its potential to support massive connectivity and high spectral efficiency. However, the most important drawback of NOMA is the error during Successive…

Information Theory · Computer Science 2018-07-13 Ferdi Kara , Hakan Kaya

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

Modeling and analysis of cooperative spectrum sensing is an important aspect in cognitive radio systems. In this paper, the problem of energy detection (ED) of an unknown signal over Nakagami-$m$ fading is revisited. Specifically, an…

Information Theory · Computer Science 2015-05-01 Debasish Bera , Sant S. Pathak , Indrajit Chakrabarty , George K. Karagiannidis

In this paper, we propose a mixture Gamma shadowed (MGS) distribution as a unified composite model via representing the shadowing by an inverse Nakagami-$m$. Accordingly, the exact expression and the asymptotic behaviour at high average…

Information Theory · Computer Science 2020-11-17 Hussien Al-Hmood , H. S. Al-Raweshidy

We derive a closed-form expression for the orthogonal polynomials associated with the general lognormal density. The result can be utilized to construct easily computable approximations for probability density function of a product of…

Information Theory · Computer Science 2016-11-17 Zhong Zheng , Lu Wei , Jyri Hämäläinen , Olav Tirkkonen

The outage probability performance of a dual-hop amplify-and-forward selective relaying system with global relay selection is analyzed for Nakagami-$m$ fading channels in the presence of multiple interferers at both the relays and the…

Networking and Internet Architecture · Computer Science 2014-10-07 Kezhi Wang , Yunfei Chen , Marco Di Renzo

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 a cooperative spectrum sharing (CSS) protocol, two wireless systems operate over the same frequency band albeit with different priorities. The secondary (or cognitive) system which has a lower priority, helps the higher priority primary…

Networking and Internet Architecture · Computer Science 2016-11-15 Shubha Sharma , Ankush Vashistha , Vivek Ashok Bohara

A recently developed approach, conditional probability density functional theory (CP-DFT), yields direct access to the exchange-correlation hole of a system, an important correlation function that is not available from any standard DFT…

Materials Science · Physics 2026-05-14 Peiwei You , Ryan Pederson , Kieron Burke , E. K. U. Gross

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

Backscatter communication is an energy-efficient technique that enables sustainable wireless connectivity with a minimal environmental impact. In this paper, the secrecy performance of practical non-linear energy-harvesting backscatter…

Information Theory · Computer Science 2025-03-18 Mohammad Nafees , Dharmendra Dixit , Arvind Kumar

This letter provides closed-form expressions for the outage probability, the average level crossing rate (LCR) and the average fade duration (AFD) of a dual diversity selection combining (SC) system exposed to the combined influence of the…

Information Theory · Computer Science 2009-08-26 Zoran Hadzi-Velkov

This paper investigates a natural generalization of the kappa-mu fading channel in which the line-of-sight (LOS) component is subject to shadowing. This fading distribution has a clear physical interpretation, good analytical properties and…

Information Theory · Computer Science 2024-10-30 J. F. Paris

In this paper, the sum of L independent but not necessarily identically distributed (i.n.i.d.) extended $\eta$-$\mu$ variates is considered. In particular, novel expressions for the probability density function and cumulative distribution…

Signal Processing · Electrical Eng. & Systems 2021-08-25 Osamah S. Badarneh , Fares S. Almehmadi

An opportunistic DF-AF selection relaying scheme with maximal received signal-to-noise ratio (SNR) at the destination is investigated in this paper. The outage probability of the opportunistic DF-AF selection relaying scheme over Nakagami-m…

Information Theory · Computer Science 2016-11-17 Tian Zhang , Wei Chen , Zhigang Cao

This paper proposes a comprehensive and unprecedented framework that streamlines the derivation of exact, compact -- yet tractable -- solutions for the probability density function (PDF) and cumulative distribution function (CDF) of the sum…

Signal Processing · Electrical Eng. & Systems 2025-06-04 Fernando Darío Almeida García , Michel Daoud Yacoub , José Cândido Silveira Santos Filho

In this work, an integrated performance evaluation of a decode-and-forward (DF) multi-hop wireless communication system is undertaken over the non-linear generalized $\alpha-\kappa-\mu$ and $\alpha-\kappa-\mu$-Extreme fading models.…

Information Theory · Computer Science 2019-03-25 Tau Raphael Rasethuntsa , Sandeep Kumar , Manpreet Kaur

The Lognormal distribution is a fundamental statistical model widely used in different fields of science, including biology, finance, economics, engineering, etc. In wireless communications, it is the primary statistic for large-scale…

An ad hoc network with a finite spatial extent and number of nodes or mobiles is analyzed. The mobile locations may be drawn from any spatial distribution, and interference-avoidance protocols or protection against physical collisions among…

Information Theory · Computer Science 2013-04-22 Don Torrieri , Matthew C. Valenti