31 citations · 48 across the 11 of their papers we have counts for
13 papers
Density Functions and Random Number Generators of -Stable Distributions
Wael Tabbara, Sharafeddine Sharafeddine, Ahmad El-Hajj +2
Heavy-tailed distributions are increasingly found to better fit empirical data in engineering, finance, physics, network science, and related fields. Among them, -stable distrib…
Heavy-Tailed Principal Component Analysis
Mario Sayde, Christopher Khater, Jihad Fahs +1
Principal Component Analysis (PCA) is a cornerstone of dimensionality reduction, yet its classical formulation relies critically on second-order moments and is therefore fragile in…
On Linear Estimators for some Stable Vectors
Rayan Chouity, Charbel Hannoun, Jihad Fahs +1
We consider the estimation problem for jointly stable random variables. Under two specific dependency models: a linear transformation of two independent stable variables and a sub-…
THz-Band Near-Field RIS Channel Modeling for Linear Channel Estimation
Ahmad Dkhan, Simon Tarboush, Hadi Sarieddeen +2
Reconfigurable intelligent surface (RIS)-aided terahertz (THz)-band communications are promising enablers for future wireless networks. However, array densification at high frequen…
A Framework for Robust Lossy Compression of Heavy-Tailed Sources
Karim Ezzeddine, Jihad Fahs, Ibrahim Abou-Faycal
We study the rate-distortion problem for both scalar and vector memoryless heavy-tailed -stable sources (). Using a recently defined notion of ``strength" as a power m…
Testing the Isotropic Cauchy Hypothesis
Jihad Fahs, Ibrahim Abou-Faycal, Ibrahim Issa
Isotropic -stable distributions are central in the theory of heavy-tailed distributions and play a role similar to that of the Gaussian density among finite second-moment laws.…
Age Distribution in Arbitrary Preemptive Memoryless Networks
Rajai Nasser, Ibrahim Issa, Ibrahim Abou-Faycal
We study the probability distribution of age of information (AoI) in arbitrary networks with memoryless service times. A source node generates packets following a Poisson process,…
Information Measures, Inequalities and Performance Bounds for Parameter Estimation in Impulsive Noise Environments
Jihad Fahs, Ibrahim Abou-Faycal
Recent studies found that many channels are affected by additive noise that is impulsive in nature and is best explained by heavy-tailed symmetric alpha-stable distributions. Deali…
Sufficient Conditions for Existence of
Jihad Fahs, Ibrahim Abou-Faycal
In his technical report~\cite[sec. 6]{barrontech}, Barron states that the de Bruijn's identity for Gaussian perturbations holds for any RV having a finite variance. In this report,…
On Properties of the Support of Capacity-Achieving Distributions for Additive Noise Channel Models with Input Cost Constraints
Jihad Fahs, Ibrahim Abou-Faycal
We study the classical problem of characterizing the channel capacity and its achieving distribution in a generic fashion. We derive a simple relation between three parameters: the…
LP decoding excess over symmetric channels
Louay Bazzi, Ibrahim Abou-Faycal
We consider the problem of Linear Programming (LP) decoding of binary linear codes. The LP excess lemma was introduced by the first author, B. Ghazi, and R. Urbanke (IEEE Trans. In…
On the Finiteness of the Capacity of Continuous Channels
Jihad Fahs, Ibrahim Abou-Faycal
Evaluating the channel capacity is one of many key problems in information theory. In this work we derive rather-mild sufficient conditions under which the capacity is finite and a…
Optimal Training for Non-Feedback Adaptive PSAM over Time-Varying Rayleigh Fading Channels
Khalid Zeineddine, Hussein Hammoud, Ibrahim Abou-Faycal
Time-varying fast fading channels present a major challenge in the design of wireless communication systems. Pilot Symbol Assisted Modulation (PSAM) has been introduced to mitigate…