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Gaussian quantum channels are relevant operations in continuous variable systems. In general, given an arbitrary state, the action on it is well-known provided that the quantum channels are completely characterized. In this work, we…

Quantum Physics · Physics 2025-05-20 Jonas F. G. Santos , Carlos H. S. Vieira , Wilder R. Cardoso

End-to-end deep learning for communication systems, i.e., systems whose encoder and decoder are learned, has attracted significant interest recently, due to its performance which comes close to well-developed classical encoder-decoder…

Information Theory · Computer Science 2019-03-12 Rick Fritschek , Rafael F. Schaefer , Gerhard Wunder

For vector Gaussian channels, a precise differential connection between channel capacity and a quantity termed normalized optimal detection error (NODE) is presented. Then, this C-NODE relationship is extended to continuous-time Gaussian…

Information Theory · Computer Science 2017-05-02 Edwin Hammerich

It is well known that opportunistic scheduling algorithms are throughput optimal under dynamic channel and network conditions. However, these algorithms achieve a hypothetical rate region which does not take into account the overhead…

Networking and Internet Architecture · Computer Science 2019-11-12 Mehmet Karaca , Tansu Alpcan , Ozgur Ercetin

In this paper, a novel method based on the entropy estimation of the observation space eigenvalues is proposed to estimate the number of the sources in Gaussian and Non-Gaussian noise. In this method, the eigenvalues of correlation matrix…

Applications · Statistics 2024-09-02 Hamid Asadi , Babak Seyfe

This paper proposes a recursive interval-valued estimation framework for identifying the parameters of linearly parameterized systems which may be slowly time-varying. It is assumed that the model error (which may consist in measurement…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Laurent Bako , Seydi Ndiaye , Eric Blanco

The factor modeling for high-dimensional time series is powerful in discovering latent common components for dimension reduction and information extraction. Most available estimation methods can be divided into two categories: the…

Methodology · Statistics 2026-05-26 Xinghao Qiao , Zihan Wang , Qiwei Yao , Bo Zhang

This paper deals with the parametric inference for integrated signals embedded in an additive Gaussian noise and observed at deterministic discrete instants which are not necessarily equidistant. The unknown parameter is multidimensional…

Statistics Theory · Mathematics 2019-03-18 Dominique Dehay , Khalil El Waled , Vincent Monsan

Information transmission over discrete-time channels with memoryless additive noise obeying a Cauchy, rather than Gaussian, distribution, are studied. The channel input satisfies an average power constraint. Upper and lower bounds to such…

Information Theory · Computer Science 2024-11-19 Shuqin Pang , Wenyi Zhang

One of the most fundamental questions one can ask about a pair of random variables X and Y is the value of their mutual information. Unfortunately, this task is often stymied by the extremely large dimension of the variables. We might hope…

Statistical Mechanics · Physics 2017-06-21 Ryan G. James , John R. Mahoney , James P. Crutchfield

In this work, we propose two methods that utilize data symbols in addition to pilot symbols for improved channel estimation quality in a multi-user system, so-called semi-blind channel estimation. To this end, a subspace is estimated based…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Franz Weißer , Nurettin Turan , Dominik Semmler , Wolfgang Utschick

Self-interference cancellation plays a crucial role in achieving reliable full-duplex communications. In general, it is essential to cancel the self-interference signal below the thermal noise level, which necessitates accurate…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Dongsheng Zheng , Lifeng Lin , Wenyao Li , Bingli Jiao

We evaluate the mutual information between the input and the output of a two layer network in the case of a noisy and non-linear analogue channel. In the case where the non-linearity is small with respect to the variability in the noise, we…

Statistical Mechanics · Physics 2009-10-31 E. Korutcheva , V. Del Prete , J. -P. Nadal

An admissible estimator of the eigenvalues of the variance-covariance matrix is given for multivariate normal distributions with respect to the scale-invariant squared error loss.

Statistics Theory · Mathematics 2011-01-14 Yo Sheena , Akimichi Takemura

We consider the information fiber optical channel modeled by the nonlinear Schrodinger equation with additive Gaussian noise. Using path-integral approach and perturbation theory for the small dimensionless parameter of the second…

Information Theory · Computer Science 2023-08-03 A. V. Reznichenko , V. O. Guba

We estimate the distribution of the eigenvalues of a family of time-frequency localization operators whose eigenfunctions are the well-known Prolate Spheroidal Wave Functions from mathematical physics. These operators are fundamental to the…

Classical Analysis and ODEs · Mathematics 2015-02-17 Arie Israel

In this paper we estimate the dynamic parameters of a time-varying coefficient model through radial kernel functions in the context of a longitudinal study. Our proposal is based on a linear combination of weighted kernel functions…

Methodology · Statistics 2021-03-02 Juan Sosa , Lina Buitrago

Estimation is a critical component of synchronization in wireless and signal processing systems. There is a rich body of work on estimator derivation, optimization, and statistical characterization from analytic system models which are used…

Machine Learning · Computer Science 2017-07-21 Timothy J. O'Shea , Kiran Karra , T. Charles Clancy

Selective excitation of a diffusive system's transmission eigenchannels enables manipulation of its internal energy distribution. The fluctuations and correlations of the eigenchannels' spatial profiles, however, remain unexplored so far.…

Disordered Systems and Neural Networks · Physics 2020-10-21 Nicholas Bender , Alexey Yamilov , Hasan Yilmaz , Hui Cao

This paper considers a sequential estimation and sensor scheduling problem in the presence of multiple communication channels. As opposed to the classical remote estimation problem that involves one perfect (noiseless) channel and one…

Information Theory · Computer Science 2015-10-02 Xiaobin Gao , Emrah Akyol , Tamer Basar