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In this paper, we generalize the fundamental relation between the derivative of the mutual information and the minimum mean squared error (MMSE) to multiuser setups. We prove that the derivative of the mutual information with respect to the…

Information Theory · Computer Science 2017-03-27 Samah A. M. Ghanem

Taking a functional approach, we derive a general expression for the gradient of the Mutual Information (MI) with respect to the system parameters in the stochastic systems. This expression covers the cases in which the system input depends…

Information Theory · Computer Science 2019-12-10 Mahboobeh Sedighizad , Babak Seyfe

This paper deals with arbitrarily distributed finite-power input signals observed through an additive Gaussian noise channel. It shows a new formula that connects the input-output mutual information and the minimum mean-square error (MMSE)…

Information Theory · Computer Science 2007-07-13 Dongning Guo , Shlomo Shamai , Sergio Verdu

In this paper, we generalize the fundamental relation between the mutual information and the minimum mean squared error (MMSE) by Guo, Shamai, and Verdu [1] to K-User Gaussian channels. We prove that the derivative of the multiuser mutual…

Information Theory · Computer Science 2017-04-20 Samah A. M. Ghanem

We investigate the optimal power allocation and optimal precoding for a multi-cell-processing (MCP) framework with limited cooperation. In particular, we consider two base stations(BSs) which maximize the achievable rate for two users…

Information Theory · Computer Science 2016-01-12 Samah A. M. Ghanem

In this paper, we investigate the signal shaping in a two-user discrete time memoryless Gaussian multiple-access channel (MAC) with computation. It is shown that by optimizing input probability distribution, the transmission rate per…

Information Theory · Computer Science 2017-01-26 Zhiyong Chen , Hui Liu

The I-MMSE formula connects two important quantities in information theory and estimation theory: the mutual information and the minimum mean-squared error (MMSE). It states that in a scalar Gaussian channel, the derivative of the mutual…

Information Theory · Computer Science 2024-08-27 Minh-Toan Nguyen

This paper considers an unlicensed multiple-access channel (MAC) that coexists with a licensed point-to-point user, following the underlay cognitive radio paradigm. We assume that every transceiver except the secondary base station has one…

Information Theory · Computer Science 2018-11-09 Christian Lameiro , Ignacio Santamaria , Peter J. Schreier

This paper studies the achievable rates of Gaussian interference channels with additive white Gaussian noise (AWGN), when improper or circularly asymmetric complex Gaussian signaling is applied. For the Gaussian multiple-input…

Information Theory · Computer Science 2016-11-18 Yong Zeng , Cenk M. Yetis , Erry Gunawan , Yong Liang Guan , Rui Zhang

We study the problem of decentralized power allocation in a multi-access channel (MAC) with non-cooperative users, additive noise of arbitrary distribution and a generalized power constraint, i.e., the transmit power constraint is modeled…

Information Theory · Computer Science 2023-05-26 Prashant Narayanan , Lakshmi Narasimhan Theagarajan

A recent result of the authors shows a so-called I-MMSE-like relationship that, for the two-user Gaussian interference channel, an I-MMSE relationship holds in the limit, as n $\to \infty$, between the interference and the interfered-with…

Information Theory · Computer Science 2018-04-17 Ronit Bustin , H. Vincent Poor , Shlomo Shamai

In continuation to a recent work on the statistical--mechanical analysis of minimum mean square error (MMSE) estimation in Gaussian noise via its relation to the mutual information (the I-MMSE relation), here we propose a simple and more…

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

Approximate capacity regions are established for a class of interfering multiple access channels consisting of two multiple-access channels (MACs), each with an arbitrary number of transmitters, with one transmitter in each MAC causing…

Information Theory · Computer Science 2018-09-05 Yimin Pang , Mahesh K. Varanasi

This work focuses on distributed linear precoding when users transmit correlated information over a fading Multiple-Input and Multiple-Output Multiple Access Channel. Precoders are optimized in order to minimize the sum-Mean Square Error…

Information Theory · Computer Science 2024-01-31 P. Suárez-Casal , J. P. González-Coma , O. Fresnedo , L. Castedo

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 paper studies the achievable rate region of the K-user Gaussian multiple-input single-output interference channel (MISO-IC) with the interference treated as noise, when improper or circularly asymmetric complex Gaussian signaling is…

Information Theory · Computer Science 2013-10-10 Yong Zeng , Rui Zhang , Erry Gunawan , Yong Liang Guan

The two-user Multiple Access Channel (MAC) with cooperative encoders and Channel State Information (CSI) is considered where two different scenarios are investigated: A two-user MAC with common message (MACCM) and a two-user MAC with…

Information Theory · Computer Science 2013-02-17 Reza K. Farsani , Farokh Marvasti

This paper focuses on the problem of separately modulating and jointly estimating two independent continuous-valued parameters sent over a Gaussian multiple-access channel (MAC) under the mean square error (MSE) criterion. To this end, we…

Information Theory · Computer Science 2016-09-28 Ayse Unsal , Raymond Knopp , Neri Merhav

In this paper, we consider the joint design of the transceivers for a multiple access Multiple Input and Multiple Output (MIMO) system having Inter-Symbol Interference (ISI) channels. The system we consider is equipped with the Minimum Mean…

Information Theory · Computer Science 2008-05-19 Wenwen Jiang , Jian-Kang Zhang , Kon Max Wong

This paper considers a Gaussian channel with one transmitter and two receivers. The goal is to maximize the communication rate at the intended/primary receiver subject to a disturbance constraint at the unintended/secondary receiver. The…

Information Theory · Computer Science 2016-03-25 Alex Dytso , Ronit Bustin , Daniela Tuninetti , Natasha Devroye , H. Vincent Poor , Shlomo Shamai
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