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We derive simple concentration inequalities for bounded random vectors, which generalize Hoeffding's inequalities for bounded scalar random variables. As applications, we apply the general results to multinomial and Dirichlet distributions…

概率论 · 数学 2013-11-05 Xinjia Chen

We explore the applications of our previously established likelihood-ratio method for deriving concentration inequalities for a wide variety of univariate and multivariate distributions. New concentration inequalities for various…

统计理论 · 数学 2014-09-23 Xinjia Chen

We propose a novel receiver for orthogonal frequency division multiplexing (OFDM) transmissions in impulsive noise environments. Impulsive noise arises in many modern wireless and wireline communication systems, such as Wi-Fi and powerline…

信息论 · 计算机科学 2015-06-16 Marcel Nassar , Philip Schniter , Brian L. Evans

We obtain large and moderate deviation estimates, as well as concentration inequalities, for a class of nonuniformly expanding maps with stretched exponential decay of correlations. In the large deviation regime, we also exhibit examples…

概率论 · 数学 2022-01-26 C Cuny , J Dedecker , F Merlevède

We investigate concentration inequalities for Dirichlet and Multinomial random variables.

机器学习 · 计算机科学 2020-02-03 Jian Qian , Ronan Fruit , Matteo Pirotta , Alessandro Lazaric

We derive concentration inequalities for functions of the empirical measure of large random matrices with infinitely divisible entries and, in particular, stable ones. We also give concentration results for some other functionals of these…

概率论 · 数学 2007-06-13 Christian Houdré , Hua Xu

A new unified formulation for seven different orthogonal frequency-division multiplexing (OFDM) systems is presented. The proposed formulation relies on six parameters and encompasses conventional OFDM systems, with windowing in the…

信号处理 · 电气工程与系统科学 2024-01-19 Fernando Cruz-Roldán , Wallace A. Martins , Fausto García G. , Marc Moonen , Paulo S. R. Diniz

Concentration of measure is studied, and obtained, for stable and related random vectors.

概率论 · 数学 2007-05-23 Christian Houdre , Philippe Marchal

As a metric for amplitude fluctuation of orthogonal frequency division multiplexing (OFDM) signal, cubic metric (CM) has received an increasing attention because it is more closely related to the distortion induced by nonlinear devices than…

信息论 · 计算机科学 2016-01-20 Kee-Hoon Kim , Jong-Seon No , Dong-Joon Shin

In this note we derive a sharp concentration inequality for the supremum of a smooth random field over a finite dimensional set. It is shown that this supremum can be bounded with high probability by the value of the field at some…

统计理论 · 数学 2013-07-08 Denis Belomestny , Vladimir Spokoiny

Distinction of OFDM signals from single carrier signals is highly important for adaptive receiver algorithms and signal identification applications. OFDM signals exhibit Gaussian characteristics in time domain and fourth order cumulants of…

信息论 · 计算机科学 2015-01-05 Ali Gorcin , Huseyin Arslan

Multi-user Orthogonal Frequency Division Multiplexing (OFDM) and Multiple Output Multiple Output (MIMO) have been widely adopted to enhance the system throughput and combat the detrimental effects of wireless channels. Recently,…

信息论 · 计算机科学 2015-02-18 Yi Xu , Shiwen Mao , Xin Su

This paper analyses the statistics of the clipping noise in orthogonal frequency-division-multiplex (OFDM) based visible light Communication systems. The clipped signal is generally modelled as the summation of the scaled original signal…

信号处理 · 电气工程与系统科学 2019-09-10 Nima Taherkhani , Kamran Kiasaleh

We derive concentration inequalities for empirical means $\frac{1}{t} \int_0^t f(X_s) ds$ where $X_s$ is an irreducible Markov jump process on a finite state space and $f$ some observable. Using a Feynman-Kac semigroup we first derive a…

概率论 · 数学 2022-10-13 Santiago Carrero Ibanez

We give a concentration inequality based on the premise that random variables take values within a particular region. The concentration inequality guarantees that, for any sequence of correlated random variables, the difference between the…

概率论 · 数学 2020-02-21 Go Kato

In this note, we improve some concentration inequalities for martingales with bounded increments. These results recover the missing factor in Freedman-style inequalities and are near optimal. We also provide minor refinements of…

概率论 · 数学 2024-12-31 Arun Kumar Kuchibhotla

The ability to cancel an OFDM signal is important to many wireless communication systems including Power-Domain Non-orthogonal Multiple Access (PD-NOMA), Rate-Splitting Multiple Access (RSMA), and spectrum underlay for dynamic spectrum…

信号处理 · 电气工程与系统科学 2023-03-23 Daniel Chew , Samuel Berhanu , Chris Baumgart , A. Brinton Cooper

It is well known that CS can boost massive random access protocols. Usually, the protocols operate in some overloaded regime where the sparsity can be exploited. In this paper, we consider a different approach by taking an orthogonal FFT…

信息论 · 计算机科学 2021-05-24 Gerhard Wunder , Axel Flinth , Benedikt Groß

This work quantifies, for the first time, intersymbol and intercarrier interferences induced by very dispersive channels in OFDM systems. The resulting achievable data rate for \wam{suboptimal} OFDM transmissions is derived based on the…

信号处理 · 电气工程与系统科学 2019-01-25 Wallace Alves Martins , Fernando Cruz-Roldán , Marc Moonen , Paulo Sergio Ramirez Diniz

In this paper a new algorithm for adaptive dynamic channel estimation for frequency selective time varying fading OFDM channels is proposed. The new algorithm adopts a new strategy that successfully increases OFDM symbol rate. Instead of…

最优化与控制 · 数学 2010-09-23 Wessam M. Afifi , Hassan M. Elkamchouchi
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