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We develop several analytical lower bounds on the capacity of binary insertion and deletion channels by considering independent uniformly distributed (i.u.d.) inputs and computing lower bounds on the mutual information between the input and…

Information Theory · Computer Science 2015-03-17 Mojtaba Rahmati , Tolga M. Duman

We give necessary and sufficient conditions for a Gaussian quantum channel to have a dilation involving a passive, i.e., number-preserving unitary. We then establish a normal form of such channels: any passively dilatable channel is the…

Quantum Physics · Physics 2017-04-27 Martin Idel , Robert Koenig

In classical information theory, both the form and performance of the optimal detector for additive noise channels can be precisely derived, based on the assumption that the channel noise follows a specific probability distribution or a…

Information Theory · Computer Science 2026-03-20 Wen-Xuan Lang , Guiying Yan , Zhi-Ming Ma

We provide a model to study memory effects in quantum Gaussian channels with additive classical noise over an arbitrary number of uses. The correlation among different uses is introduced by contiguous two-mode interactions. Numerical…

Quantum Physics · Physics 2007-05-23 Giovanna Ruggeri , Stefano Mancini

The widely-studied radio network model [Chlamtac and Kutten, 1985] is a graph-based description that captures the inherent impact of collisions in wireless communication. In this model, the strong assumption is made that node $v$ receives a…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-23 Keren Censor-Hillel , Bernhard Haeupler , D. Ellis Hershkowitz , Goran Zuzic

Consider several source nodes communicating across a wireless network to a destination node with the help of several layers of relay nodes. Recent work by Avestimehr et al. has approximated the capacity of this network up to an additive…

Information Theory · Computer Science 2013-06-05 Urs Niesen , Bobak Nazer , Phil Whiting

With the increasing use of deep learning on data collected by non-perfect sensors and in non-perfect environments, the robustness of deep learning systems has become an important issue. A common approach for obtaining robustness to noise…

Machine Learning · Computer Science 2023-11-21 Xueqiong Yuan , Jipeng Li , Ercan Engin Kuruoğlu

The first terms of the low-signal-energy asymptotics for the mutual information in the discrete-time Poisson channel are derived and compared to an asymptotic expression of the capacity. In the presence of non-zero additive noise (either…

Information Theory · Computer Science 2008-08-21 Alfonso Martinez

In this paper we introduce a way to quantify the noise level associated to a given quantum transformation. The key mechanism lying at the heart of the proposal is "noise addition": in other words we compute the amount of extra noise we need…

Quantum Physics · Physics 2015-03-20 Antonella De Pasquale , Vittorio Giovannetti

The invariance of the Lyapunov exponent of a chaotic signal as it propagates along a wireless transmission channel provides a theoretical base for the application of chaos in wireless communication. In additive Gaussian channel, the chaotic…

Signal Processing · Electrical Eng. & Systems 2022-04-21 Hai-Peng Ren , Wu-Yun Zheng , Celso Grebogi

Simultaneous Wireless Information and Power Transfer (SWIPT) over a point-to-point frequency-selective Additive White Gaussian Noise (AWGN) channel is studied. Considering an approximation of the nonlinearity of the harvester, a general…

Information Theory · Computer Science 2019-01-08 Morteza Varasteh , Borzoo Rassouli , Bruno Clerckx

We present a method for training a neural network to perform image denoising without access to clean training examples or access to paired noisy training examples. Our method requires only a single noisy realization of each training example…

Image and Video Processing · Electrical Eng. & Systems 2019-10-29 Nick Moran , Dan Schmidt , Yu Zhong , Patrick Coady

In this paper, we study network coding capacity for random wireless networks. Previous work on network coding capacity for wired and wireless networks have focused on the case where the capacities of links in the network are independent. In…

Information Theory · Computer Science 2007-08-23 Zhenning Kong , Salah A. Aly , Emina Soljanin , Edmund M. Yeh , Andreas Klappenecker

We study the role of caches in wireless interference networks. We focus on content caching and delivery across a Gaussian interference network, where both transmitters and receivers are equipped with caches. We provide a constant-factor…

Information Theory · Computer Science 2019-01-08 Jad Hachem , Urs Niesen , Suhas Diggavi

In this paper, we focus on the convex mutual information, which was found at the lowest level split in multilevel coding schemes with communications over the additive white Gaussian noise (AWGN) channel. Theoretical analysis shows that…

Information Theory · Computer Science 2021-05-25 Mingxi Yin , Bingli Jiao , Dongsheng Zheng , Yuli Yang

We observe that given two (compatible) classes of functions $\mathcal{F}$ and $\mathcal{H}$ with small capacity as measured by their uniform covering numbers, the capacity of the composition class $\mathcal{H} \circ \mathcal{F}$ can become…

Machine Learning · Statistics 2022-06-16 Alireza Fathollah Pour , Hassan Ashtiani

Many networks must maintain synchrony despite the fact that they operate in noisy environments. Important examples are stochastic inertial oscillators, which are known to exhibit fluctuations with broad tails in many applications, including…

Adaptation and Self-Organizing Systems · Physics 2019-12-03 Jason Hindes , Philippe Jacquod , Ira B. Schwartz

For the additive Gaussian noise channel with average codeword power constraint, sparse superposition codes and adaptive successive decoding is developed. Codewords are linear combinations of subsets of vectors, with the message indexed by…

Information Theory · Computer Science 2010-06-22 Andrew R Barron , Antony Joseph

This paper considers the problem of transmitting the difference of two jointly Gaussian sources over a two-user additive Gaussian noise multiple access channel (MAC). The goal is to recover this difference within an average mean squared…

Information Theory · Computer Science 2008-12-08 Rajiv Soundararajan , Sriram Vishwanath

In this work we study the capacity of interference-limited channels with memory. These channels model non-orthogonal communications scenarios, such as the non-orthogonal multiple access (NOMA) scenario and underlay cognitive communications,…

Information Theory · Computer Science 2023-06-02 Ron Dabora , Emeka Abakasanga