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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…

网络与互联网体系结构 · 计算机科学 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…

信息论 · 计算机科学 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,…

统计理论 · 数学 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…

信号处理 · 电气工程与系统科学 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…

信息论 · 计算机科学 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…

综合数学 · 数学 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…

统计计算 · 统计学 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…

机器学习 · 计算机科学 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…

其他凝聚态物理 · 物理学 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…

最优化与控制 · 数学 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…

信息论 · 计算机科学 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,…

化学物理 · 物理学 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…

动力系统 · 数学 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…

天体物理学 · 物理学 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…

信息论 · 计算机科学 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…

信息论 · 计算机科学 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…

数学物理 · 物理学 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…

信息论 · 计算机科学 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…

计算工程、金融与科学 · 计算机科学 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…

信息论 · 计算机科学 2011-01-28 Ferkan Yilmaz , Mohamed-Slim Alouini