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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

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

This work studies the product and ratio statistics of independent and non-identically distributed (i.n.i.d) $ \alpha-\kappa - \mu $ shadowed random variables. We derive the series expression for the probability density function (PDF),…

Information Theory · Computer Science 2024-07-16 Shashank Shekhar , Sheetal Kalyani

We introduce the fluctuating Line-of-Sight (fLoS) fading model, characterized by parameters $K$, $k$, $\lambda$, and $\Omega$. The fLoS fading distribution is expressed in terms of the multivariate confluent hypergeometric functions…

Information Theory · Computer Science 2024-08-02 Thanh Luan Nguyen , Georges Kaddoum

The secrecy outage performance of wireless communication systems operating over spatially correlated composite fading channels is analyzed in this paper. We adopt a multiplicative composite channel model for both the legitimate…

Information Theory · Computer Science 2017-10-04 George C. Alexandropoulos , Kostas P. Peppas

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

In this paper, outage performance of hybrid automatic repeat request with incremental redundancy (HARQ-IR) is analyzed. Unlike prior analyses, time-correlated Nakagami-$m$ fading channel is considered. The outage analysis thus involves the…

Information Theory · Computer Science 2017-06-02 Zheng Shi , Shaodan Ma , Guanghua Yang , Kam-Weng Tam , Minghua Xia

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

Free space optical (FSO) communication has been receiving increasing attention in recent years with its ability to achieve ultra-high data rates over unlicensed optical spectrum. A major performance limiting factor in FSO systems is…

Information Theory · Computer Science 2016-09-21 Mohammadreza Aminikashani , Mohsen Kavehrad

The scattering of fast radio bursts (FRBs) by the intergalactic medium (IGM) is explored using cosmological hydrodynamical simulations. We confirm that the scattering by the clumpy IGM has significant line-of-sight variations. We…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-17 Weishan Zhu , Long-Long Feng , Fupeng Zhang

We report the similarity between the Nakagami-m fading distribution and the three Gaussian ensembles of random matrix theory. We provide a brief review of random matrix theory and wireless fading. We show that the Nakagami-m distribution…

Information Theory · Computer Science 2018-04-26 Sherif M. Abuelenin

Affine frequency division multiplexing (AFDM) is a chirp-based multicarrier waveform that was recently proposed for communication over doubly dispersive channels. Given its chirp nature, AFDM is expected to have superior sensing…

Signal Processing · Electrical Eng. & Systems 2025-08-15 Ebrahim Bedeer

Discrete affine Fourier transform spread affine frequency division multiplexing (DAFT-s-AFDM) is a promising waveform for integrated sensing and communication (ISAC) due to its low peak-to-average power ratio, robustness to Doppler shifts,…

Signal Processing · Electrical Eng. & Systems 2026-05-20 Shiqi Cui , Tianqi Mao , Fan Zhang , Zeping Sui , Christos Masouros , Zhaocheng Wang

Diffusion probabilistic models (DPMs) have emerged as a promising technique in generative modeling. The success of DPMs relies on two ingredients: time reversal of diffusion processes and score matching. In view of possibly unguaranteed…

Machine Learning · Computer Science 2024-10-15 Wenpin Tang , Hanyang Zhao

Fading is the time-dependent variation in transmitted signal strength through a complex medium, due to interference or temporally evolving multipath scattering. In this paper we use random matrix theory (RMT) to establish a first-principles…

Chaotic Dynamics · Physics 2012-01-30 Jen-Hao Yeh , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

This paper extends some approximation methods that are used to identify closed form Bit Error Rate (BER) expressions which are frequently utilized in investigation and comparison of performance for wireless communication systems in the…

Information Theory · Computer Science 2016-11-18 Tugcan Aktas , Ali Ozgur Yilmaz , Emre Aktas

This paper addresses the achievable rate of single cell and sum rate of multi-cell orthogonal frequency division multiplexing (OFDM) index modulation (IM). The single cell achievable rate of OFDM-IM with Gaussian input is calculated using a…

Information Theory · Computer Science 2018-03-08 Shangbin Wu , Maziar Nekovee

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

We present a general and tractable fading model for line-of-sight (LOS) scenarios, which is based on the product of two independent and non-identically distributed $\kappa$-$\mu$ shadowed random variables. Simple closed-form expressions for…

This paper presents a novel {\em Interpolated Factored Green Function} method (IFGF) for the accelerated evaluation of the integral operators in scattering theory and other areas. Like existing acceleration methods in these fields, the IFGF…

Numerical Analysis · Mathematics 2021-02-24 Christoph Bauinger , Oscar P. Bruno
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