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This work gives an explicit construction of a family of error correcting codes for the binary deletion channel and for the Poisson repeat channel. In the binary deletion channel with parameter $p$ (BDC$_p$) every bit is deleted…

Information Theory · Computer Science 2019-10-16 Roni Con , Amir Shpilka

Motivated by recent high bandwidth communication systems, Inter-Symbol Interference (ISI) channels with 1-bit quantized output are considered under an average-power-constrained continuous input. While the exact capacity is difficult to…

Information Theory · Computer Science 2015-05-05 Radha Krishna Ganti , Andrew Thangaraj , Arijit Mondal

We study the capacity of discrete memoryless many-to-one interference channels, i.e., K user interference channels where only one receiver faces interference. For a class of many-to-one interference channels, we identify a noisy…

Information Theory · Computer Science 2009-12-17 Viveck R. Cadambe , Syed A. Jafar

We consider a block fading additive white Gaussian noise (AWGN) channel with perfect channel state information (CSI) at the transmitter and the receiver. First, for a given codeword length and non-vanishing average probability of error, we…

Information Theory · Computer Science 2019-04-10 Deekshith P K , K Gautam Shenoy , Vinod Sharma

We consider an additive Gaussian channel with additive Gaussian noise feedback. We derive an upper bound on the n-block capacity (defined by Cover [1]). It is shown that this upper bound can be obtained by solving a convex optimization…

Information Theory · Computer Science 2015-03-19 Chong Li , Nicola Elia

Discriminating between noisy quantum processes is a central primitive for quantum communication, metrology, and computing. While discrimination limits for finite-dimensional channels are well understood, the continuous-variable setting,…

Quantum Physics · Physics 2026-03-23 Zixin Huang , Ludovico Lami , Vishal Singh , Mark M. Wilde

The deletion channel is the simplest point-to-point communication channel that models lack of synchronization. Input bits are deleted independently with probability d, and when they are not deleted, they are not affected by the channel.…

Information Theory · Computer Science 2011-05-02 Yashodhan Kanoria , Andrea Montanari

We determine the ultimate classical information capacity of a linear time-invariant bosonic channel with additive phase-insensitive Gaussian noise. This channel can model fiber-optic communication at power levels below the threshold for…

Quantum Physics · Physics 2016-04-06 Bhaskar Roy Bardhan , Jeffrey H. Shapiro

Consider the identification (ID) via channels problem, where a receiver wants to decide whether the transmitted identifier is its identifier, rather than decoding the identifier. This model allows to transmit identifiers whose size scales…

Information Theory · Computer Science 2021-06-28 Onur Günlü , Joerg Kliewer , Rafael F. Schaefer , Vladimir Sidorenko

We investigate the limits of communication over the discrete-time Additive White Gaussian Noise (AWGN) channel, when the channel output is quantized using a small number of bits. We first provide a proof of our recent conjecture on the…

Information Theory · Computer Science 2008-05-15 Jaspreet Singh , Onkar Dabeer , Upamanyu Madhow

A method is proposed, called channel polarization, to construct code sequences that achieve the symmetric capacity $I(W)$ of any given binary-input discrete memoryless channel (B-DMC) $W$. The symmetric capacity is the highest rate…

Information Theory · Computer Science 2016-11-18 Erdal Arikan

Optical wireless communication (OWC) using intensity-modulation and direct-detection (IM/DD) has a channel model which possesses unique features, due to the constraints imposed on the channel input. The aim of this tutorial is to overview…

Information Theory · Computer Science 2021-10-13 Anas Chaaban , Zouheir Rezki , Mohamed-Slim Alouini

Polar codes are introduced for discrete memoryless broadcast channels. For $m$-user deterministic broadcast channels, polarization is applied to map uniformly random message bits from $m$ independent messages to one codeword while…

Information Theory · Computer Science 2015-04-15 Naveen Goela , Emmanuel Abbe , Michael Gastpar

The deletion channel is the simplest point-to-point communication channel that models lack of synchronization. Despite significant effort, little is known about its capacity, and even less about optimal coding schemes. In this paper we…

Information Theory · Computer Science 2011-05-02 Yashodhan Kanoria , Andrea Montanari

In this paper, a channel that is contaminated by two independent Gaussian noises $S ~ N(0,Q)$ and $Z_0 ~ N(0,N_0)$ is considered. The capacity of this channel is computed when independent noisy versions of $S$ are known to the transmitter…

Information Theory · Computer Science 2008-06-18 Yong Peng , Dinesh Rajan

The capacity region of the interference channel in which one transmitter non-causally knows the message of the other, termed the cognitive interference channel, has remained open since its inception in 2005. A number of subtly differing…

Information Theory · Computer Science 2015-03-13 Stefano Rini , Daniela Tuninetti , Natasha Devroye

We investigate message identification over a K-sender Gaussian multiple access channel (K-GMAC). Unlike conventional Shannon transmission codes, the size of randomized identification (ID) codes experiences a doubly exponential growth in the…

Information Theory · Computer Science 2024-08-20 Yaning Zhao , Wafa Labidi , Holger Boche , Eduard Jorswieck , Christian Deppe

This paper considers the problem of channel coding over Gaussian intersymbol interference (ISI) channels with a given metric decoding rule. Specifically, it is assumed that the mismatched decoder has an incorrect assumption on the impulse…

Information Theory · Computer Science 2017-06-20 Wasim Huleihel , Salman Salamatian , Neri Merhav , Muriel Médard

We consider the problem of communicating over a channel that randomly "tears" the message block into small pieces of different sizes and shuffles them. For the binary torn-paper channel with block length $n$ and pieces of length ${\rm…

Information Theory · Computer Science 2020-05-27 Ilan Shomorony , Alireza Vahid

Quantum capacity gives the fundamental limit of information transmission through a channel. However, evaluating the quantum capacities of a continuous-variable bosonic quantum channel, as well as finding an optimal code to achieve the…

Quantum Physics · Physics 2025-10-03 Adam Taylor , Michael Hanks , Hyukjoon Kwon , M. S. Kim
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