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For forthcoming 5G networks, Non-Orthogonal Multiple Access (NOMA) is a very promising techniques. and in today's world, Line of Sight communication is becoming increasingly harder to achieve. Hence, technologies like Reconfigurable…

Information Theory · Computer Science 2023-11-14 Aaditya Prakash Kattekola , Sanjana Dontha , Anuradha Sundru

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

This paper proposes to unify fading distributions by modeling the magnitude-squared of the instantaneous channel gain as an infinitely divisible random variable. A random variable is said to be infinitely divisible, if it can be written as…

Information Theory · Computer Science 2015-08-21 Adithya Rajan , Cihan Tepedelenlioglu , Ruochen Zeng

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 extensively investigate the way in which $\kappa$-$\mu$ fading channels can be impacted by shadowing. A family of shadowed $\kappa$-$\mu$ fading models are introduced and classified according to whether the underlying…

In this paper, we investigate the performance of cooperative spectrum sensing (CSS) with multiple antenna nodes over composite and generalized fading channels. We model the probability density function (PDF) of the signal-to-noise ratio…

Information Theory · Computer Science 2016-11-17 Ahmed Al Hammadi , Omar Alhussein , Sami Muhaidat , Mahmoud Al-Qutayri , Saleh Al-Araji , George K. Karagiannidis

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

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

This paper investigates the performance of terahertz~(THz) wireless systems over the $\alpha$-$\mathcal{F}$ fading channels with beam misalignment and mobility. New expressions are derived for the probability density, cumulative…

Signal Processing · Electrical Eng. & Systems 2025-09-24 Wamberto J. L. Queiroz , Hugerles S. Silva , Higo T. P. Silva , Alexandros-Apostolos A. Boulogeorgos

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 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

The effective throughput of multiple-input single-output (MISO) wireless communication systems over $\kappa-\mu$ shadowed fading channels is analysed. To obtain exact closed-from expression, the moment generating function (MGF) of the…

Information Theory · Computer Science 2018-05-01 H. Al-Hmood , H. S. Al-Raweshidy

This paper investigates the impact of realistic propagation conditions on the achievable secrecy performance of multiple-input multiple-output systems in the presence of an eavesdropper. Specifically, we concentrate on the $\kappa$-$\mu$…

A sample of eight quasars observed at high resolution and signal-to-noise is used to determine the probability distribution function (PDF), the power spectrum, and the correlation function of the transmitted flux in the \lya forest, in…

Wireless communication systems generally endure severe fading and interference caused by the time-dispersive channel. Major transmission distortion is produced by channel multipath propagation and overlap of subsequent symbols. To…

Signal Processing · Electrical Eng. & Systems 2023-12-12 Rayyan Abdalla

Numerical and analytical results are presented for the maximal relative height distribution of stationary periodic Gaussian signals (one dimensional interfaces) displaying a 1/f^alpha power spectrum. For 0<alpha<1 (regime of decaying…

Statistical Mechanics · Physics 2013-05-29 G. Gyorgyi , N. R. Moloney , K. Ozogany , Z. Racz

In this paper, we propose a new probability distribution function which accurately describes turbulence-induced fading under a wide range of turbulence conditions. The proposed model, termed Double Generalized Gamma (Double GG), is based on…

Mathematical Physics · Physics 2015-05-26 Mohammadreza Aminikashani , Murat Uysal , Mohsen Kavehrad

In this paper we provide an analytic framework for computing the expected downlink coverage probability, and the associated data rate of cellular networks, where base stations are distributed in a random manner. The provided expressions are…

Information Theory · Computer Science 2016-05-27 Akram Al-Hourani , Sithamparanathan Kandeepan

The flexibility and reconfigurability at the radio frequency (RF) front-end offered by the fluid antenna system (FAS) make this technology promising for providing remarkable diversity gains in networks with small and constrained devices.…

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
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