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Related papers: On the Bivariate Nakagami-$m$ Cumulative Distribut…

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Decode-and-forward (DF) cooperative communication based on free space optical (FSO) links is studied in this letter. We analyze performance of the DF protocol in the FSO links following the Gamma-Gamma distribution. The cumulative…

Information Theory · Computer Science 2015-06-05 Manav R. Bhatnagar

This work is devoted to the analysis of a regenerative multi-node dual-hop cooperative system over enriched multipath fading channels. Novel analytic expressions are derived for the symbol-error-rate for $M{-}$ary quadrature modulated…

Information Theory · Computer Science 2016-12-30 Mulugeta K. Fikadu , Paschalis C. Sofotasios , Qimei Cui , Mikko Valkama

The statistical properties of the multivariate Gamma-Gamma ($\Gamma \Gamma$) distribution with arbitrary correlation have remained unknown. In this paper, we provide analytical expressions for the joint probability density function (PDF),…

Information Theory · Computer Science 2016-11-18 Jiayi Zhang , Michail Matthaiou , George K. Karagiannidis , Linglong Dai

In this work, a non-orthogonal multiple access (NOMA) based transmission between two sources and two end-users is examined over independent non-identically distributed (i.n.i.d.) slow Nakagami-$m$ fading channels, where a single relay using…

Signal Processing · Electrical Eng. & Systems 2021-03-24 Efendi Fidan , Eray Güven , Mehmet Akif Durmaz , Güneş Karabulut Kurt , Oğuz Kucur

In this work, we examine the performance of selective-decode and forward (S-DF) relay systems over kappa-mu fading channel condition. We discuss about the probability density function (PDF), system model, and cumulative distribution…

Networking and Internet Architecture · Computer Science 2020-01-07 Ravi Shankar , Lokesh Bhardwaj , Ritesh Kumar Mishra

This paper considers the analysis and optimization of a frequency-hopping ad hoc network with a finite number of mobiles and finite spatial extent. The mobiles communicate using coded continuous-phase frequency-shift keying (CPFSK)…

Information Theory · Computer Science 2012-09-11 Matthew C. Valenti , Don Torrieri , Salvatore Talarico

We consider a fractionally damped oscillator, where the damping term is expressed by the Caputo fractional derivative of order $\beta\in (0,1).$ The impulse response of this oscillator can be expressed in terms of the bivariate…

Classical Analysis and ODEs · Mathematics 2025-08-29 Shashank Pathak , Michael Ruzhansky , Karel Van Bockstal

We obtain exact formulas for the cumulative distribution function of the variance-gamma distribution, as infinite series involving the modified Bessel function of the second kind and the modified Lommel function of the first kind. From…

Probability · Mathematics 2024-11-20 Robert E. Gaunt

This paper analyzes the unified performance of energy detection (ED) of spectrum sensing (SS) over generalized fading channels in cognitive radio (CR) networks. The detective performance of SS schemes will be obviously affected by fading…

Information Theory · Computer Science 2018-01-01 He Huang , Chaowei Yuan

The information that can be transmitted through a wireless channel, with multiple-antenna equipped transmitter and receiver, is crucially influenced by the channel behavior as well as by the structure of the input signal. We characterize in…

Information Theory · Computer Science 2014-10-22 Giuseppa Alfano , Carla-Fabiana Chiasserini , Alessandro Nordio , Siyuan Zhou

In this correspondence, we propose a tight lower bound to the outage probability of discrete-input Nakagami-m block-fading channels. The approach permits an efficient method for numerical evaluation of the bound, providing an additional…

Information Theory · Computer Science 2016-11-15 Khoa D. Nguyen , Albert Guillen i Fabregas , Lars K. Rasmussen

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

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

Kummer's function, also known as the confluent hypergeometric function (CHF), is an important mathematical function, in particular due to its many special cases, which include the Bessel function, the incomplete Gamma function and the error…

Numerical Analysis · Mathematics 2024-07-08 Alan Herschtal

In this note, we derive the closed form formulae for moments of Student's t-distribution in the one dimensional case as well as in higher dimensions through a unified probability framework. Interestingly, the closed form expressions for the…

Probability · Mathematics 2024-12-18 J. Lars Kirkby , Dang Nguyen , Duy Nguyen

Let $F$ be the cumulative distribution function (CDF) of the base-$q$ expansion $\sum_{n=1}^\infty X_n q^{-n}$, where $q\ge2$ is an integer and $\{X_n\}_{n\geq 1}$ is a stationary stochastic process with state space $\{0,\ldots,q-1\}$. In a…

A partial fraction decomposition of the Fermi function resulting in a finite sum over simple poles is proposed. This allows for efficient calculations involving the Fermi function in various contexts of electronic structure or electron…

Other Condensed Matter · Physics 2009-08-10 Alexander Croy , Ulf Saalmann

In this correspondence, we point out two typographical errors in Chai and Tjhung's paper and we offer the correct formula of the unified Laguerre polynomial-series-based cumulative distribution function (cdf) for small-scale fading…

Probability · Mathematics 2011-02-10 Yin Sun , Arpad Baricz , Shidong Zhou

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

Multimode/multicore fibers are expected to provide an attractive solution to overcome the capacity limit of the current optical communication system. In the presence of high cross-talk between modes/cores, the squared singular values of the…

Information Theory · Computer Science 2020-06-11 Amor Nafkha , Nizar Demni
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