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In this paper, we consider single- and multi-user Gaussian channels with feedback under expected power constraints and with non-vanishing error probabilities. In the first of two contributions, we study asymptotic expansions for the…

Information Theory · Computer Science 2016-09-22 Lan V. Truong , Silas L. Fong , Vincent Y. F. Tan

A guessing wiretapper's performance on a Shannon cipher system is analyzed for a source with memory. Close relationships between guessing functions and length functions are first established. Subsequently, asymptotically optimal encryption…

Information Theory · Computer Science 2016-11-17 Rajesh Sundaresan

We consider the problem of estimating an arbitrary dynamical parameter of an quantum open system in the input-output formalism. For irreducible Markov processes, we show that in the limit of large times the system-output state can be…

Quantum Physics · Physics 2015-09-02 Catalin Catana , Luc Bouten , Madalin Guta

Adaptiveness is a key principle in information processing including statistics and machine learning. We investigate the usefulness of adaptive methods in the framework of asymptotic binary hypothesis testing, when each hypothesis represents…

Quantum Physics · Physics 2024-03-19 Farzin Salek , Masahito Hayashi , Andreas Winter

In this paper, we consider the problem of power allocation in MIMO wiretap channel for secrecy in the presence of multiple eavesdroppers. Perfect knowledge of the destination channel state information (CSI) and only the statistical…

Information Theory · Computer Science 2014-01-16 Sanjay Vishwakarma , A. Chockalingam

As an emerging communication auxiliary technology, reconfigurable intelligent surface (RIS) is expected to play a significant role in the upcoming 6G networks. Due to its total reflection characteristics, it is challenging to implement…

Signal Processing · Electrical Eng. & Systems 2023-08-04 W. Li , Z. Lin , Q. Guo , B. Vucetic

We analyze deterministic message identification via channels with non-discrete additive white noise and with a noiseless feedback link under both average power and peak power constraints. The identification task is part of Post Shannon…

Information Theory · Computer Science 2022-02-18 Moritz Wiese , Wafa Labidi , Christian Deppe , Holger Boche

Consider a random non-centered multiple antenna radio transmission channel. Assume that the deterministic part of the channel is itself frequency selective, and that the random multipath part is represented by an ergodic stationary vector…

Information Theory · Computer Science 2015-04-06 Walid Hachem , Aris Moustakas , Leonid Pastur

We establish a precise connection between statistical significance in dependence testing and information-theoretic dependence as quantified by Shannon mutual information (MI). In the absence of prior distributional information, we consider…

Statistics Theory · Mathematics 2026-02-02 Tsutomu Mori , Takashi Kawamura

Finding a computable expression for the feedback capacity of channels with colored Gaussian, additive noise is a long standing open problem. In this paper, we solve this problem in the scenario where the channel has multiple inputs and…

Information Theory · Computer Science 2023-01-20 Oron Sabag , Victoria Kostina , Babak Hassibi

This is the second paper of the authors in a series concerned with the development of a deterministic model for the transfer matrix of a MIMO system. Starting from the Maxwell equations, we have described in \cite{BCFM} the generic…

Information Theory · Computer Science 2015-06-04 Francois Bentosela , Horia D. Cornean , Nicola Marchetti

We investigate MIMO eigenmode transmission using statistical channel state information at the transmitter. We consider a general jointly-correlated MIMO channel model, which does not require separable spatial correlations at the transmitter…

Information Theory · Computer Science 2016-11-17 Xiqi Gao , Bin Jiang , Xiao Li , Alex B. Gershman , Matthew R. McKay

One key metric for physical layer security is the secrecy capacity. This is the maximum rate that a system can transmit with perfect secrecy. For a Multiple Input Multiple Output (MIMO) system (a newer technology for 5G, 6G and beyond) the…

Information Theory · Computer Science 2022-10-03 Jennifer Chakravarty , Oliver Johnson , Robert Piechocki

In this work, we study the performance of random isometric precoders over quasi-static and correlated fading channels. We derive deterministic approximations of the mutual information and the signal-to-interference-plus-noise ratio (SINR)…

Information Theory · Computer Science 2016-11-18 Romain Couillet , Jakob Hoydis , Merouane Debbah

Fano's inequality is one of the most elementary, ubiquitous, and important tools in information theory. Using majorization theory, Fano's inequality is generalized to a broad class of information measures, which contains those of Shannon…

Information Theory · Computer Science 2020-08-04 Yuta Sakai

New communication standards need to deal with machine-to-machine communications, in which users may start or stop transmitting at any time in an asynchronous manner. Thus, the number of users is an unknown and time-varying parameter that…

Signal Processing · Electrical Eng. & Systems 2018-10-23 Francisco J. R. Ruiz , Isabel Valera , Lennart Svensson , Fernando Perez-Cruz

The two-user multiple-input multiple-output (MIMO) fast-fading interference channel (IC) with an arbitrary number of antennas at each of the four terminals is studied under the settings of Shannon feedback, limited Shannon feedback, and…

Information Theory · Computer Science 2011-11-01 Chinmay S. Vaze , Mahesh K. Varanasi

Asymptotic expressions of the mutual information between any discrete input and the corresponding output of the scalar additive white Gaussian noise channel are presented in the limit as the signal-to-noise ratio (SNR) tends to infinity.…

Information Theory · Computer Science 2014-04-23 Alex Alvarado , Fredrik Brannstrom , Erik Agrell , Tobias Koch

Channel state information is crucial to achieving the capacity of multi-antenna (MIMO) wireless communication systems. It requires estimating the channel matrix. This estimation task is studied, considering a sparse channel model…

Information Theory · Computer Science 2018-04-06 Luc Le Magoarou , Stéphane Paquelet

We consider a multiple-input, multiple-output (MIMO) wideband Rayleigh block fading channel where the channel state is unknown to both the transmitter and the receiver and there is only an average power constraint on the input. We compute…

Information Theory · Computer Science 2007-07-13 Siddharth Ray , Muriel Medard , Lizhong Zheng