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A classical result of Strassen asserts that given probabilities $\mu, \nu$ on the real line which are in convex order, there exists a \emph{martingale coupling} with these marginals, i.e.\ a random vector $(X_1,X_2)$ such that $X_1\sim \mu,…

Probability · Mathematics 2016-09-13 Mathias Beiglboeck , Nicolas Juillet

This paper presents a counterexample to the optimality conjecture in convex quantum channel optimization proposed by Coutts et al. The conjecture posits that for nuclear norm minimization problems in quantum channel optimization, the dual…

Quantum Physics · Physics 2026-02-03 Jianting Yang

A formulation of the generalized minimal output entropy conjecture for Gaussian channels is presented. It asserts that, for states with fixed input entropy, the minimal value of the output entropy of the channel (i.e. the minimal output…

Quantum Physics · Physics 2015-05-18 V. Giovannetti , A. S. Holevo , S. Lloyd , L. Maccone

Graphical models with bi-directed edges (<->) represent marginal independence: the absence of an edge between two vertices indicates that the corresponding variables are marginally independent. In this paper, we consider maximum likelihood…

Methodology · Statistics 2012-12-12 Mathias Drton , Thomas S. Richardson

In this paper, new classes of lower bounds on the outage error probability and on the mean-square-error (MSE) in Bayesian parameter estimation are proposed. The minima of the h-outage error probability and the MSE are obtained by the…

Information Theory · Computer Science 2010-05-05 Routtenberg Tirza , Joseph Tabrikian

This paper studies the problem of estimating a covariance matrix from correlated sub-Gaussian samples. We consider using the correlated sample covariance matrix estimator to approximate the true covariance matrix. We establish…

Information Theory · Computer Science 2019-10-17 Xu Zhang , Wei Cui , Yulong Liu

Conventional beamforming is based on channel estimation, which can be computationally intensive and inaccurate when the antenna array is large. In this work, we study the outage probability of positioning-assisted beamforming systems.…

Information Theory · Computer Science 2022-04-12 Bingcheng Zhu , Zaichen Zhang , Julian Cheng

In ref. [1] we analyzed the properties of a Degenerate Optical Parametric Oscillator (DOPO) tuned to the first transverse mode family at the signal frequency. Above threshold, a Hermite-Gauss mode with an arbitrary orientation in the…

Quantum Physics · Physics 2008-03-03 Carlos Navarrete-Benlloch , Eugenio Roldan , German J. de Valcarcel

We analytically compute the large-deviation probability of a diagonal matrix element of two cases of random matrices, namely $\beta=[\vec H^\dagger\vec H]^{-1}_{11}$ and $\gamma=[\vec I_N+\rho\vec H^\dagger\vec H]^{-1}_{11}$, where $\vec H$…

Information Theory · Computer Science 2011-06-15 Aris L. Moustakas

In this paper, we propose efficient importance sampling estimators to evaluate the outage probability of maximum ratio combining receivers over turbulence-induced fadings in underwater wireless optical channels. We consider two fading…

Applications · Statistics 2019-09-25 Chaouki ben Issaid , Mohamed-Slim Alouini

We study the uplink performance of massive multiple-input multiple-output (MIMO) when users are equipped with multiple antennas. To this end, we consider a generalized channel model that accounts for line-of-sight propagation and spatially…

Information Theory · Computer Science 2020-09-02 Konstantinos Dovelos , Michail Matthaiou , Hien Quoc Ngo , Boris Bellalta

With the goal of enabling ultrareliable and low-latency wireless communications for industrial internet of things (IIoT), this paper studies the use of energy-based modulations in noncoherent massive single-input multiple-output (SIMO)…

Information Theory · Computer Science 2024-06-19 Marc Vilà-Insa , Aniol Martí , Jaume Riba , Meritxell Lamarca

We analyze the mean-squared error (MSE) performance of widely linear (WL) and conventional subspace-based channel estimation for single-input multiple-output (SIMO) flat-fading channels employing binary phase-shift-keying (BPSK) modulation…

Information Theory · Computer Science 2015-05-28 Saeed Abdallah , Ioannis N. Psaromiligkos

We consider the massive Multiple Input Multiple Output (MIMO) diversity channel affected by independent and identically distributed Rayleigh fading, with linear processing at both transmitter and receiver sides, and analyze the outage…

Information Theory · Computer Science 2023-02-08 Marco Martalo , Riccardo Raheli

We consider the problem of quantifying the Pareto optimal boundary in the achievable rate region over multiple-input single-output (MISO) interference channels, where the problem boils down to solving a sequence of convex feasibility…

Information Theory · Computer Science 2015-05-20 Jiaming Qiu , Rui Zhang , Zhi-Quan Luo , Shuguang Cui

This work considers a multicell Massive MIMO network with $L$ cells, each comprising a BS with $M$ antennas and $K$ single-antenna user equipments. Within this setting, we are interested in deriving approximations of the achievable rates in…

Information Theory · Computer Science 2018-11-29 Luca Sanguinetti , Abla Kammoun , Merouane Debbah

We establish area theorems for iterative detection over coded linear systems (including multiple-input multipleoutput (MIMO) channels, inter-symbol-interference (ISI) channels, and orthogonal frequency-division multiplexing (OFDM) systems).…

Information Theory · Computer Science 2012-08-24 Xiaojun Yuan , Li Ping , Chongbin Xu , Aleksandar Kavcic

The optimal decoder achieving the outage capacity under imperfect channel estimation is investigated. First, by searching into the family of nearest neighbor decoders, which can be easily implemented on most practical coded modulation…

Information Theory · Computer Science 2016-11-15 Pablo Piantanida , Sajad Sadough , Pierre Duhamel

We investigate the maximal achievable rate for a given blocklength and error probability over quasi-static single-input multiple-output (SIMO) fading channels. Under mild conditions on the channel gains, it is shown that the channel…

Information Theory · Computer Science 2013-05-17 Wei Yang , Giuseppe Durisi , Tobias Koch , Yury Polyanskiy

This letter studies parallel independent Gaussian channels with uncertain eavesdropper channel state information (CSI). Firstly, we evaluate the probability of zero secrecy rate in this system for (i) given instantaneous channel conditions…

Information Theory · Computer Science 2016-02-23 Siddhartha Sarma , Kundan Kandhway , Joy Kuri
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