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We study the rate-distortion problem for both scalar and vector memoryless heavy-tailed $\alpha$-stable sources ($0 < \alpha < 2$). Using a recently defined notion of ``strength" as a power measure, we derive the rate-distortion function…

Information Theory · Computer Science 2026-02-27 Karim Ezzeddine , Jihad Fahs , Ibrahim Abou-Faycal

We study a class of $K$-encoder hypothesis testing against conditional independence problems. Under the criterion that stipulates minimization of the Type II error subject to a (constant) upper bound $\epsilon$ on the Type I error, we…

Information Theory · Computer Science 2022-07-05 Abdellatif Zaidi

Let $X^n\in\mathcal{X}^n$ be a sequence drawn from a discrete memoryless source, and let $Y^n\in\mathcal{Y}^n$ be the corresponding reconstruction sequence that is output by a good rate-distortion code. This paper establishes a property of…

Information Theory · Computer Science 2013-07-31 Curt Schieler , Paul Cuff

The distributed source coding problem is considered when the sensors, or encoders, are under Byzantine attack; that is, an unknown number of sensors have been reprogrammed by a malicious intruder to undermine the reconstruction at the…

Information Theory · Computer Science 2007-07-13 Oliver Kosut , Lang Tong

This paper investigates the joint source-channel coding problem of sending a memoryless source over a memoryless broadcast channel. An inner bound and several outer bounds on the admissible distortion region are derived, which respectively…

Information Theory · Computer Science 2018-06-11 Lei Yu , Houqiang Li , Weiping Li

We consider the problem of detecting the presence of a spatially correlated multichannel signal corrupted by additive Gaussian noise (i.i.d across sensors). No prior knowledge is assumed about the system parameters such as the noise…

Information Theory · Computer Science 2013-04-19 Vidyadhar Upadhya , Devendra Jalihal

We consider the problem of causal source coding and causal decoding of a Gauss--Markov source, where the decoder has causal access to a side-information signal. We define the information causal rate-distortion function with causal decoder…

Information Theory · Computer Science 2020-08-13 Omri Lev , Anatoly Khina

Distributed source coding (DSC) is the task of encoding an input in the absence of correlated side information that is only available to the decoder. Remarkably, Slepian and Wolf showed in 1973 that an encoder without access to the side…

Information Theory · Computer Science 2024-07-02 Jay Whang , Alliot Nagle , Anish Acharya , Hyeji Kim , Alexandros G. Dimakis

Distributed averaging, or distributed average consensus, is a common method for computing the sample mean of the data dispersed among the nodes of a network in a decentralized manner. By iteratively exchanging messages with neighbors, the…

Information Theory · Computer Science 2017-10-26 Ryan Pilgrim , Junan Zhu , Dror Baron , Waheed U. Bajwa

This paper investigates a source coding problem in which two terminals communicating through a relay wish to estimate one another's source within some distortion constraint. The relay has access to side information that is correlated with…

Information Theory · Computer Science 2013-10-10 Farideh Ebrahim Rezagah , Elza Erkip

This paper investigates the best known bounds on the quadratic Gaussian distortion-rate-perception function with limited common randomness for the Kullback-Leibler divergence-based perception measure, as well as their counterparts for the…

Information Theory · Computer Science 2024-09-05 Li Xie , Liangyan Li , Jun Chen , Lei Yu , Zhongshan Zhang

Quantum random variable, distortion operator are introduced based on canonical operators. As the lower bound of rate distortion, the entanglement information rate distortion is achieved by Gaussian map for Gaussian source. General Gaussian…

Quantum Physics · Physics 2007-05-23 Xiao-yu Chen

We study the power versus distortion trade-off for the distributed transmission of a memoryless bi-variate Gaussian source over a two-to-one average-power limited Gaussian multiple-access channel. In this problem, each of two separate…

Information Theory · Computer Science 2016-11-17 Amos Lapidoth , Stephan Tinguely

We revisit the Gray-Wyner lossy source coding problem and derive the first-order asymptotic optimal rate-distortion-perception region when additional perception constraints are imposed on reproduced source sequences. The optimal trade-off…

Information Theory · Computer Science 2026-01-19 Yu Yang , Yingxin Zhang , Weijie Yuan , Lin Zhou

We determine the rate region of the quadratic Gaussian two-encoder source-coding problem. This rate region is achieved by a simple architecture that separates the analog and digital aspects of the compression. Furthermore, this architecture…

Information Theory · Computer Science 2008-02-09 Aaron B. Wagner , Saurabha Tavildar , Pramod Viswanath

The three-node multiterminal lossy source coding problem is investigated. We derive an inner bound to the general rate-distortion region of this problem which is a natural extension of the seminal work by Kaspi'85 on the interactive…

Information Theory · Computer Science 2016-01-19 Leonardo Rey Vega , Pablo Piantanida , Alfred Hero

We consider a problem in which a source is encoded into N packets, an unknown number of which are subject to adversarial errors en route to the decoder. We seek code designs for which the decoder is guaranteed to be able to reproduce the…

Information Theory · Computer Science 2016-08-05 Xiaoqing Fan , Oliver Kosut , Aaron B. wagner

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 paper, we design and analyze distributed vector quantization (VQ) for compressed measurements of correlated sparse sources over noisy channels. Inspired by the framework of compressed sensing (CS) for acquiring compressed…

Information Theory · Computer Science 2015-07-28 Amirpasha Shirazinia , Saikat Chatterjee , Mikael Skoglund

The problem of joint universal source coding and identification is considered in the setting of fixed-rate lossy coding of continuous-alphabet memoryless sources. For a wide class of bounded distortion measures, it is shown that any…

Information Theory · Computer Science 2007-07-13 Maxim Raginsky
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