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We develop a one-out-of-two oblivious transfer protocol over the binary-input additive white Gaussian noise (BI-AWGN) channel using polar codes. The scheme uses two decoder views linked by automorphisms of the polar transform and publicly…

Information Theory · Computer Science 2026-02-13 Pin-Hsun Lin , Hadi Aghaee , Christian Deppe , Eduard A. Jorswieck , Holger Boche

The problem of communicating over the additive white Gaussian noise (AWGN) channel with lattice codes is addressed in this paper. Theoretically, Voronoi constellations have proved to yield very powerful lattice codes when the fine/coding…

Information Theory · Computer Science 2017-08-03 Nicola di Pietro , Joseph J. Boutros

We consider a continuous-time bandlimited additive white Gaussian noise channel with 1-bit output quantization. On such a channel the information is carried by the temporal distances of the zero-crossings of the transmit signal. The set of…

Information Theory · Computer Science 2017-09-25 Sandra Bender , Meik Dörpinghaus , Gerhard Fettweis

We consider the problem of controlling an unstable scalar linear plant over a power-constrained additive white Gaussian noise (AWGN) channel, where the controller/receiver has access to an additional noisy measurement of the state of the…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Omri Lev , Anatoly Khina

We derive upper and lower bounds for the covert capacity of Additive White Gaussian Noise channels when measuring reliability in terms of the average error probability and covertness in terms of Kullback-Leibler divergence. This…

Information Theory · Computer Science 2025-06-18 C. Bouette , L. Luzzi , M. Bloch

We present a novel technique for encoding and decoding constant weight binary codes that uses a geometric interpretation of the codebook. Our technique is based on embedding the codebook in a Euclidean space of dimension equal to the weight…

Combinatorics · Mathematics 2014-09-17 Chao Tian , Vinay A. Vaishampayan , N. J. A. Sloane

The analysis of random coding error exponents pertaining to erasure/list decoding, due to Forney, is revisited. Instead of using Jensen's inequality as well as some other inequalities in the derivation, we demonstrate that an exponentially…

Information Theory · Computer Science 2016-11-17 Neri Merhav

Insdel errors occur in communication systems caused by the loss of positional information of the message. Since the work by Guruswami and Wang, there have been some further investigations on the list decoding of insertion codes, deletion…

Information Theory · Computer Science 2020-09-30 Shu Liu , Ivan Tjuawinata , Chaoping Xing

We introduce a new algorithm for realizing Maximum Likelihood (ML) decoding in discrete channels with or without memory. In it, the receiver rank orders noise sequences from most likely to least likely. Subtracting noise from the received…

Information Theory · Computer Science 2019-08-12 Ken R. Duffy , Jiange Li , Muriel Médard

In this paper we consider noisy index coding problem over AWGN channel. We give an algorithm to map the index coded bits to appropriate sized PSK symbols such that for the given index code, in general, the receiver with large amount of side…

Information Theory · Computer Science 2015-10-06 Anjana A. M. , B. Sundar Rajan

We consider the problem of erasure/list decoding using certain classes of simplified decoders. Specifically, we assume a class of erasure/list decoders, such that a codeword is in the list if its likelihood is larger than a threshold. This…

Information Theory · Computer Science 2016-11-17 Nir Weinberger , Neri Merhav

For the additive white Gaussian noise channel with average codeword power constraint, new coding methods are devised in which the codewords are sparse superpositions, that is, linear combinations of subsets of vectors from a given design,…

Information Theory · Computer Science 2010-06-21 Andrew R. Barron , Antony Joseph

This paper considers the task of estimating the $l_2$ norm of a $n$-dimensional random Gaussian vector from noisy measurements taken after many of the entries of the vector are \emph{missed} and only $K\ (0\le K\le n)$ entries are retained…

Information Theory · Computer Science 2020-10-19 Samrat Mukhopadhyay

This paper revisits a classical scenario in communication theory: a waveform sampled at regular intervals is to be encoded so as to minimize distortion in its reconstruction, despite noise. This transformation must be online (causal), to…

Discrete Mathematics · Computer Science 2019-06-04 Leonard J. Schulman , Piyush Srivastava

While deep convolutional neural networks (CNNs) have achieved impressive success in image denoising with additive white Gaussian noise (AWGN), their performance remains limited on real-world noisy photographs. The main reason is that their…

Computer Vision and Pattern Recognition · Computer Science 2019-04-22 Shi Guo , Zifei Yan , Kai Zhang , Wangmeng Zuo , Lei Zhang

In this paper, we present an improved union bound on the Linear Programming (LP) decoding performance of the binary linear codes transmitted over an additive white Gaussian noise channels. The bounding technique is based on the second-order…

Information Theory · Computer Science 2012-03-09 Ohad Gidon , Yair Be'ery

Guessing random additive noise decoding (GRAND) is a noise-centric decoding method, which is suitable for ultra-reliable low-latency communications, as it supports high-rate error correction codes that generate short-length codewords. GRAND…

Information Theory · Computer Science 2022-12-12 Ioannis Chatzigeorgiou , Francisco A. Monteiro

The classification loss functions used in deep neural network classifiers can be grouped into two categories based on maximizing the margin in either Euclidean or angular spaces. Euclidean distances between sample vectors are used during…

Computer Vision and Pattern Recognition · Computer Science 2022-12-23 Hakan Cevikalp , Hasan Saribas

Concurrent coding is an encoding scheme with "holographic" type properties that are shown here to be robust against a significant amount of noise and signal loss. This single encoding scheme is able to correct for random errors and burst…

Information Theory · Computer Science 2016-04-27 David M. Benton

We consider an additive White Gaussian channel where the transmitter is powered by an energy harvesting source. For such a system, we provide a lower bound on the maximal code book at finite code lengths that improves upon previously known…

Information Theory · Computer Science 2016-01-27 K Gautam Shenoy , Vinod Sharma
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