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We consider the high-dimensional inference problem where the signal is a low-rank matrix which is corrupted by an additive Gaussian noise. Given a probabilistic model for the low-rank matrix, we compute the limit in the large dimension…

Probability · Mathematics 2018-06-01 Léo Miolane

We consider the problem of determining the power ratio between the training symbols and data symbols in order to maximize the channel capacity for transmission over uncertain channels with a channel estimate available at both the…

Information Theory · Computer Science 2015-05-13 Ather Gattami

In this paper we establish lower bounds on information divergence from a distribution to certain important classes of distributions as Gaussian, exponential, Gamma, Poisson, geometric, and binomial. These lower bounds are tight and for…

Information Theory · Computer Science 2011-02-15 Peter Harremoës , Christophe Vignat

A discrete-time Wiener phase noise channel with an integrate-and-dump multi-sample receiver is studied. An upper bound to the capacity with an average input power constraint is derived, and a high signal-to-noise ratio (SNR) analysis is…

Information Theory · Computer Science 2016-11-17 Luca Barletta , Gerhard Kramer

Communicating arbitrarily correlated sources over interference channels is considered in this paper. A sufficient condition is found for the lossless transmission of a pair of correlated sources over a discrete memoryless interference…

Information Theory · Computer Science 2009-11-12 Wei Liu , Biao Chen

We investigate design and performance of communications over the bandlimited Gaussian channel with one-bit output quantization. A transceiver structure is proposed, which generates the channel input using a finite set of time-limited and…

Information Theory · Computer Science 2020-11-05 Rui Deng , Jing Zhou , Wenyi Zhang

The two-user Gaussian interference channel (G-IC) is revisited, with a particular focus on practically amenable discrete input signalling and treating interference as noise (TIN) receivers. The corresponding deterministic interference…

Information Theory · Computer Science 2021-03-18 Min Qiu , Yu-Chih Huang , Jinhong Yuan

Sensing performance is typically evaluated by classical metrics, such as Cramer-Rao bound and signal-to-clutter-plus-noise ratio. The recent development of the integrated sensing and communication (ISAC) framework motivated the efforts to…

Information Theory · Computer Science 2023-11-14 Lei Xie , Fan Liu , Zhanyuan Xie , Zheng Jiang , Shenghui Song

In this paper, an $n$-user Gaussian interference channel, where the power of the transmitters are subject to some upper-bounds is studied. We obtain a closed-form expression for the rate region of such a channel based on the…

Information Theory · Computer Science 2016-11-17 Hajar Mahdavi-Doost , Masoud Ebrahimi , Amir K. Khandani

We consider a secure communication scenario through the two-user Gaussian interference channel: each transmitter (user) has a confidential message to send reliably to its intended receiver while keeping it secret from the other receiver.…

Information Theory · Computer Science 2016-04-26 Parisa Babaheidarian , Somayeh Salimi , Panos Papadimitratos

We consider the estimation of a signal from the knowledge of its noisy linear random Gaussian projections. A few examples where this problem is relevant are compressed sensing, sparse superposition codes, and code division multiple access.…

Information Theory · Computer Science 2020-08-31 Jean Barbier , Nicolas Macris , Mohamad Dia , Florent Krzakala

We introduce the two user finite state compound Gaussian interference channel and characterize its capacity region to within one bit. The main contributions involve both novel inner and outer bounds. The inner bound is multilevel…

Information Theory · Computer Science 2008-05-01 Adnan Raja , Vinod M. Prabhakaran , Pramod Viswanath

In many scenarios, the communication system suffers from both Gaussian white noise and non-Gaussian impulsive noise. In order to design optimal signal detection method, it is necessary to estimate the parameters of mixed Gaussian-impulsive…

Signal Processing · Electrical Eng. & Systems 2022-09-07 Tianfu Qi , Jun Wang , Xiaonan Chen , Wei Huang

Intersymbol Interference (ISI) is a major bottleneck in Molecular Communication via Diffusion (MCvD), degrading system performance. This paper introduces two families of linear channel codes to mitigate ISI: Zero Pad Zero Start (ZPZS) and…

Information Theory · Computer Science 2025-07-01 Tamoghno Nath , Krishna Gopal Benerjee , Adrish Banerjee

Consider random linear estimation with Gaussian measurement matrices and noise. One can compute infinitesimal variations of the mutual information under infinitesimal variations of the signal-to-noise ratio or of the measurement rate. We…

Information Theory · Computer Science 2017-04-14 Jean Barbier , Nicolas Macris

This paper studies network information theory problems where the external noise is Gaussian distributed. In particular, the Gaussian broadcast channel with coherent fading and the Gaussian interference channel are investigated. It is shown…

Information Theory · Computer Science 2010-02-12 Emmanuel Abbe , Lizhong Zheng

Integrated sensing and communications (ISAC) is recognized as a key enabling technology for future wireless networks. To shed light on the fundamental performance limits of ISAC systems, this paper studies the deterministic-random tradeoff…

Information Theory · Computer Science 2023-01-05 Fan Liu , Yifeng Xiong , Kai Wan , Tony Xiao Han , Giuseppe Caire

The most natural way to describe an information-carrying system containing a specific noise is an additive white Gaussian-noise (AWGN) channel. In bosonic quantum systems (especially the Gaussian case), although the classical information…

Quantum Physics · Physics 2019-05-14 Kabgyun Jeong , Hun Hee Lee , Youngrong Lim

We study error exponents for the problem of low-rate communication over a directed graph, where each edge in the graph represents a noisy communication channel, and there is a single source and destination. We derive maxflow-based…

Information Theory · Computer Science 2023-04-06 Yan Hao Ling , Jonathan Scarlett

System identification is a fundamental problem in control and learning, particularly in high-stakes applications where data efficiency is critical. Classical approaches, such as the ordinary least squares estimator (OLS), achieve an…

Systems and Control · Electrical Eng. & Systems 2025-06-12 Xiong Zeng , Jing Yu , Necmiye Ozay