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In this paper, we investigate the cumulative distribution function (CDF) of the aggregate interference in carrier sensing multiple access/collision avoidance (CSMA/CA) networks measured at an arbitrary time and position. We assume that…

Networking and Internet Architecture · Computer Science 2015-12-25 June Hwang , Jinho Choi , Riku Jantti , Seong-Lyun Kim

In this letter, we derive the probability density function (PDF) and cumulative distribution function (CDF) of the minimum of two non-central Chi-square random variables with two degrees of freedom in terms of power series. With the help of…

Information Theory · Computer Science 2014-07-07 Manav R. Bhatnagar

We introduce a new shape-constrained class of distribution functions on R, the bi-$s^*$-concave class. In parallel to results of D\"umbgen, Kolesnyk, and Wilke (2017) for what they called the class of bi-log-concave distribution functions,…

Statistics Theory · Mathematics 2017-05-12 Nilanjana Laha , Jon A. Wellner

This paper investigates the radar Ambiguity Function (AF) properties of Constant Envelope Orthogonal Frequency Division Multiplexing (CE-OFDM) waveforms employing Phase-Shift Keying (PSK). The CE-OFDM is in fact a special case of the…

Signal Processing · Electrical Eng. & Systems 2023-03-20 David G. Felton , David A. Hague

We consider power allocation algorithms for fixed-rate transmission over Nakagami-m non-ergodic block-fading channels with perfect transmitter and receiver channel state information and discrete input signal constellations, under both…

Information Theory · Computer Science 2007-07-13 Khoa D. Nguyen , Albert Guillen i Fabregas , Lars K. Rasmussen

In this note we present a new special function that behaves like the error function and we provide an approximated accurate closed form for its CDF in terms of both Chebyshev polynomials of the first kind and the error function. Also, we…

General Mathematics · Mathematics 2025-12-30 Zeraoulia Rafik , Alvaro H Salas , David L Ocampo

The cumulative distribution and quantile functions for the one-sided one sample Kolmogorov-Smirnov probability distributions are used for goodness-of-fit testing. While the Smirnov-Birnbaum-Tingey formula for the CDF appears straight…

Computation · Statistics 2018-02-21 Paul van Mulbregt

This paper investigates probability density functions (PDFs) that are continuous everywhere, nearly uniform around the mode of distribution, and adaptable to a variety of distribution shapes ranging from bell-shaped to rectangular. From the…

Machine Learning · Computer Science 2022-04-01 Osamu Fujita

We investigate a density-functional theory (DFT) approach for an unpolarized trapped dilute Fermi gas in the unitary limit . A reformulation of the recent work of T. Papenbrock [Phys. Rev. A, {\bf 72}, 041602(R) (2005)] in the language of…

Other Condensed Matter · Physics 2009-11-11 Brandon P. van Zyl , D. A. W. Hutchinson , Melodie Need

Dual feasible functions (DFFs) have been used to provide bounds for standard packing problems and valid inequalities for integer optimization problems. In this paper, the connection between general DFFs and a particular family of…

Optimization and Control · Mathematics 2018-12-04 Matthias Köppe , Jiawei Wang

The Fisher-Snedecor $\mathcal{F}$ distribution has been recently proposed as a more accurate and mathematically tractable composite fading model than traditional established models in some practical cases. In this paper, we firstly derive…

Information Theory · Computer Science 2019-11-27 Hongyang Du , Jiayi Zhang , Kostas P. Peppas , Hui Zhao , Bo Ai , Xiaodan Zhang

Exploratory variational pseudopotential density functional calculations are performed for the electronic properties of many-electron systems in the 3D cartesian coordinate grid (CCG). The atom-centered localized gaussian basis set,…

Chemical Physics · Physics 2015-05-18 Amlan K Roy

The quantization dimension function for an $F$-conformal measure $m_F$ generated by an infinite conformal iterated function system satisfying the strong open set condition and by a summable H\"{o}lder family of functions is expressed by a…

Dynamical Systems · Mathematics 2018-11-02 Jason Atnip , Mrinal Kanti Roychowdhury , Mariusz Urbański

The generalized Fermi-Dirac functions and their derivatives are important in evaluating the thermodynamic quantities of partially degenerate electrons in hot dense stellar plasmas. New recursion relations of the generalized Fermi-Dirac…

Astrophysics · Physics 2009-11-06 Zhigang Gong , Ladislav Zejda , Werner Dappen , Josep M. Aparicio

This paper studies the coordinated beamforming (CoBF) design in the multiple-input single-output interference channel, assuming only channel distribution information given a priori at the transmitters. The CoBF design is formulated as an…

Information Theory · Computer Science 2023-07-19 Wei-Chiang Li , Tsung-Hui Chang , Chong-Yung Chi

We propose the exact calculation of the probability density function (PDF) and cumulative distribution function (CDF) of mutual information (MI) for a two-user MIMO MAC network over block Rayleigh fading channels. So far the PDF and CDF…

Information Theory · Computer Science 2018-03-13 Gabriel Pivaro , Santosh Kumar , Gustavo Fraidenraich

Infinite series of the type Sum{n=1,infinity}(alpha/2)_n_2F_1(-n, b; gamma; y)/(n n!) are investigated. Closed-form sums are obtained for alpha a positive integer alpha=1,2,3, ... The limiting case of b --> infinity, after y is replaced…

Mathematical Physics · Physics 2009-11-07 Nasser Saad , Richard L. Hall

Non-orthogonal multiple access (NOMA) is widely recognized as a potential multiple access technology for efficient radio spectrum utilization in the fifth-generation (5G) wireless communications standard. In this paper, we study the average…

Information Theory · Computer Science 2019-03-06 Vaibhav Kumar , Barry Cardiff , Mark F. Flanagan

The objective of this work can be divided into two parts. The first one is to propose an extension of the force density method (FDM)(H.J. Schek, 1974), a form-finding method for prestressed cable-net structures. The second one is to present…

Computational Engineering, Finance, and Science · Computer Science 2015-03-19 Masaaki Miki

Analysis of the average binary error probabilities (ABEP) and average capacity (AC) of wireless communications systems over generalized fading channels have been considered separately in the past. This paper introduces a novel moment…

Information Theory · Computer Science 2011-01-28 Ferkan Yilmaz , Mohamed-Slim Alouini