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We consider the transmission of a memoryless bivariate Gaussian source over an average-power-constrained one-to-two Gaussian broadcast channel. The transmitter observes the source and describes it to the two receivers by means of an…

Information Theory · Computer Science 2009-03-20 Shraga Bross , Amos Lapidoth , Stephan Tinguely

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

In this paper, the compression of an independent and identically distributed Gaussian source sequence is studied in an unsecure network. Within a game theoretic setting for a three-party noiseless communication network (sender Alice,…

Cryptography and Security · Computer Science 2013-07-30 Eva C. Song , Paul Cuff , H. Vincent Poor

Probabilistic encoding introduces Gaussian noise into neural networks, enabling a smooth transition from deterministic to uncertain states and enhancing generalization ability. However, the randomness of Gaussian noise distorts point-based…

Machine Learning · Computer Science 2025-07-24 Pengjiu Xia , Yidian Huang , Wenchao Wei , Yuwen Tan

This paper investigates the problem of source-channel coding for secure transmission with arbitrarily correlated side informations at both receivers. This scenario consists of an encoder (referred to as Alice) that wishes to compress a…

Information Theory · Computer Science 2013-11-11 Joffrey Villard , Pablo Piantanida , Shlomo Shamai

Source-channel coding for an energy limited wireless sensor node is investigated. The sensor node observes independent Gaussian source samples with variances changing over time slots and transmits to a destination over a flat fading…

Information Theory · Computer Science 2016-11-17 Oner Orhan , Deniz Gunduz , Elza Erkip

The achievable and converse regions for sparse representation of white Gaussian noise based on an overcomplete dictionary are derived in the limit of large systems. Furthermore, the marginal distribution of such sparse representations is…

Information Theory · Computer Science 2017-02-13 Ori Shental

Jointly Gaussian memoryless sources are observed at N distinct terminals. The goal is to efficiently encode the observations in a distributed fashion so as to enable reconstruction of any one of the observations, say the first one, at the…

Information Theory · Computer Science 2008-05-14 Saurabha Tavildar , Pramod Viswanath , Aaron B. Wagner

This paper studies the problem of estimating the covariance of a collection of vectors using only highly compressed measurements of each vector. An estimator based on back-projections of these compressive samples is proposed and analyzed. A…

Machine Learning · Statistics 2019-01-16 Martin Azizyan , Akshay Krishnamurthy , Aarti Singh

We study the vector Gaussian Chief Executive Officer (CEO) problem under logarithmic loss distortion measure. Specifically, $K \geq 2$ agents observe independently corrupted Gaussian noisy versions of a remote vector Gaussian source, and…

Information Theory · Computer Science 2020-02-05 Yigit Ugur , Inaki Estella Aguerri , Abdellatif Zaidi

Consider a generalized multiterminal source coding system, where $\ell\choose m$ encoders, each observing a distinct size-$m$ subset of $\ell$ ($\ell\geq 2$) zero-mean unit-variance symmetrically correlated Gaussian sources with correlation…

Information Theory · Computer Science 2017-10-16 Jun Chen , Li Xie , Yameng Chang , Jia Wang , Yizhong Wang

We study the Compressed Sensing (CS) problem, which is the problem of finding the most sparse vector that satisfies a set of linear measurements up to some numerical tolerance. We introduce an $\ell_2$ regularized formulation of CS which we…

Signal Processing · Electrical Eng. & Systems 2024-07-15 Dimitris Bertsimas , Nicholas A. G. Johnson

This paper investigates the problem of zero-delay joint source-channel coding of a vector Gauss-Markov source over a multiple-input multiple-output (MIMO) additive white Gaussian noise (AWGN) channel with feedback. In contrast to the…

Information Theory · Computer Science 2023-10-19 Barron Han , Oron Sabag , Victoria Kostina , Babak Hassibi

Consider a pair of correlated Gaussian sources (X1,X2). Two separate encoders observe the two components and communicate compressed versions of their observations to a common decoder. The decoder is interested in reconstructing a linear…

Information Theory · Computer Science 2007-07-25 D. Krithivasan , S. S. Pradhan

This paper considers a degraded Gaussian broadcast channel over which Gaussian sources are to be communicated. When the sources are independent, this paper shows that hybrid coding achieves the optimal distortion region, the same as that of…

Information Theory · Computer Science 2009-06-16 Rajiv Soundararajan , Sriram Vishwanath

We propose a joint source-channel-network coding scheme, based on compressive sensing principles, for wireless networks with AWGN channels (that may include multiple access and broadcast), with sources exhibiting temporal and spatial…

Information Theory · Computer Science 2011-10-04 Soheil Feizi , Muriel Medard

Coded source compression, also known as source compression with helpers, has been a major variant of distributed source compression, but has hitherto received little attention in the quantum regime. This work treats and solves the…

Information Theory · Computer Science 2019-03-08 Min-Hsiu Hsieh , Shun Watanabe

We consider compressive sensing as a source coding method for signal transmission. We concatenate a convolutional coding system with 1-bit compressive sensing to obtain a serial concatenated system model for sparse signal transmission over…

Information Theory · Computer Science 2014-03-14 Amin Movahed , Mark C. Reed

A technique of lossless compression via substring enumeration (CSE) attains compression ratios as well as popular lossless compressors for one-dimensional (1D) sources. The CSE utilizes a probabilistic model built from the circular string…

Information Theory · Computer Science 2017-01-25 Takahiro Ota , Hiroyoshi Morita

This paper addresses the problem of coding a continuous random source correlated with another source which is only available at the decoder. The proposed approach is based on the extension of the channel coding concept of syndrome from the…

Information Theory · Computer Science 2007-10-11 Lorenzo Cappellari