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The scalar additive Gaussian noise channel has the "single crossing point" property between the minimum-mean square error (MMSE) in the estimation of the input given the channel output, assuming a Gaussian input to the channel, and the MMSE…

Information Theory · Computer Science 2016-11-17 Ronit Bustin , Miquel Payaro , Daniel Palomar , Shlomo Shamai

This article presents a novel transmission scheme for the unsourced, uncoordinated Gaussian multiple access problem. The proposed scheme leverages notions from single-user coding, random spreading, minimum-mean squared error (MMSE)…

Information Theory · Computer Science 2019-11-05 Asit Kumar Pradhan , Vamsi K. Amalladinne , Krishna R. Narayanan , Jean-Francois Chamberland

In this paper, we consider a distributed remote source coding problem, where a sequence of observations of source vectors is available at the encoder. The problem is to specify the optimal rate for encoding the observations subject to a…

Information Theory · Computer Science 2014-06-05 Adel Zahedi , Jan Ostergaard , Soren Holdt Jensen , Patrick Naylor , Soren Bech

We derive the capacity region of the Gaussian version of Willems's two-user MAC with conferencing encoders. This setting differs from the classical MAC in that, prior to each transmission block, the two transmitters can communicate with…

Information Theory · Computer Science 2008-05-06 Shraga I. Bross , Amos Lapidoth , Michele A. Wigger

A fading broadcast channel is considered where the transmitter employs two antennas and each of the two receivers employs a single receive antenna. It is demonstrated that even if the realization of the fading is precisely known to the…

Information Theory · Computer Science 2007-07-13 Amos Lapidoth , Shlomo Shamai , Michele Wigger

We consider a source coding problem with a network scenario in mind, and formulate it as a remote vector Gaussian Wyner-Ziv problem under covariance matrix distortions. We define a notion of minimum for two positive-definite matrices based…

Information Theory · Computer Science 2016-11-03 Adel Zahedi , Jan Østergaard , Søren Holdt Jensen , Patrick A. Naylor , Søren Bech

In this paper, communication of a Multivariate Gaussian over a Gaussian Multiple Access Channel is studied. Distributed zero-delay joint source-channel coding (JSCC) solutions to the problem are given. Both nonlinear and linear approaches…

Information Theory · Computer Science 2014-01-14 Pål Anders Floor , Anna N. Kim , Tor A. Ramstad , Ilangko Balasingham , Niklas Wernersson , Mikael Skoglund

We consider the problem of joint source-channel coding for transmitting K samples of a complex Gaussian source over T = bK uses of a block-fading multiple input multiple output (MIMO) channel with M transmit and N receive antennas. We…

Information Theory · Computer Science 2016-11-17 Kapil Bhattad , Krishna R. Narayanan , Giuseppe Caire

L multiple descriptions of a vector Gaussian source for individual and central receivers are investigated. The sum rate of the descriptions with covariance distortion measure constraints, in a positive semidefinite ordering, is exactly…

Information Theory · Computer Science 2007-07-13 H. Wang , P. Viswanath

We study the secure lossy transmission of a vector Gaussian source to a legitimate user in the presence of an eavesdropper, where both the legitimate user and the eavesdropper have vector Gaussian side information. The aim of the…

Information Theory · Computer Science 2011-08-18 Ersen Ekrem , Sennur Ulukus

A novel distributed source coding model which named semantic-aware multi-terminal (MT) source coding is proposed and investigated in the paper, where multiple agents independently encode an imperceptible semantic source, while both semantic…

Information Theory · Computer Science 2024-04-24 Yuxuan Shi , Shuo Shao , Yongpeng Wu , Jun Chen , Wenjun Zhang

Asymptotic expressions of the mutual information between any discrete input and the corresponding output of the scalar additive white Gaussian noise channel are presented in the limit as the signal-to-noise ratio (SNR) tends to infinity.…

Information Theory · Computer Science 2014-04-23 Alex Alvarado , Fredrik Brannstrom , Erik Agrell , Tobias Koch

We consider the k-encoder source coding problem with a quadratic distortion measure. We show that among all source distributions with a given covariance matrix K, the jointly Gaussian source requires the highest rates in order to meet a…

Information Theory · Computer Science 2016-11-15 Ilan Shomorony , A. Salman Avestimehr , Himanshu Asnani , Tsachy Weissman

We consider a model nondispersive nonlinear optical fiber channel with additive white Gaussian noise at large $\mathrm{SNR}$ (signal-to-noise ratio) in the intermediate power region. Using Feynman path-integral technique we for the first…

Information Theory · Computer Science 2016-05-06 I. S. Terekhov , A. V. Reznichenko , Ya. A. Kharkov , S. K. Turitsyn

We characterize the fundamental limits of transmission of information over a Gaussian multiple access channel (MAC) with the use of variable-length feedback codes and under a non-vanishing error probability formalism. We develop new…

Information Theory · Computer Science 2018-01-10 Lan V. Truong , Vincent Y. F. Tan

A real-time communication system with two encoders communicating with a single receiver over separate noisy channels is considered. The two encoders make distinct partial observations of a Markov source. Each encoder must encode its…

Information Theory · Computer Science 2009-10-27 Ashutosh Nayyar , Demosthenis Teneketzis

This work considers distributed sensing and transmission of sporadic random samples. Lower bounds are derived for the reconstruction error of a single normally or uniformly-distributed finite-dimensional vector imperfectly measured by a…

Information Theory · Computer Science 2015-11-20 Ayşe Ünsal , Raymond Knopp

This paper considers the problem of secret communication over a two-receiver multiple-input multiple-output (MIMO) Gaussian broadcast channel. The transmitter has two independent messages, each of which is intended for one of the receivers…

Information Theory · Computer Science 2009-03-24 Ruoheng Liu , Tie Liu , H. Vincent Poor , Shlomo Shamai

The problem of transmitting a common message to multiple users over the Gaussian multiple-input multiple-output broadcast channel is considered, where each user is equipped with an arbitrary number of antennas. A closed-loop scenario is…

Information Theory · Computer Science 2016-11-17 Anatoly Khina , Idan Livni , Ayal Hitron , Uri Erez

Many multichannel systems use a linear filter to retrieve a signal of interest corrupted by noise whose statistics are partly unknown. The optimal filter in Gaussian noise requires knowledge of the noise covariance matrix $\Sigma$ and in…

Signal Processing · Electrical Eng. & Systems 2021-08-30 Olivier Besson
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