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Recently, machine learning-based channel estimation has attracted much attention. The performance of machine learning-based estimation has been validated by simulation experiments. However, little attention has been paid to the theoretical…

Signal Processing · Electrical Eng. & Systems 2021-07-15 Kai Mei , Jun Liu , Xiaochen Zhang , Nandana Rajatheva , Jibo Wei

In this paper, we consider single- and multi-user Gaussian channels with feedback under expected power constraints and with non-vanishing error probabilities. In the first of two contributions, we study asymptotic expansions for the…

Information Theory · Computer Science 2016-09-22 Lan V. Truong , Silas L. Fong , Vincent Y. F. Tan

As an important piece of the multi-tier computing architecture for future wireless networks, over-the-air computation (OAC) enables efficient function computation in multiple-access edge computing, where a fusion center aims to compute a…

Signal Processing · Electrical Eng. & Systems 2022-10-26 Yulin Shao , Deniz Gunduz , Soung Chang Liew

In this paper we consider the achievable rate region of the Gaussian Multiple Access Channel (MAC) when suboptimal transmission schemes are employed. Focusing on the two-user MAC and assuming uncoded Pulse Amplitude Modulation (PAM), we…

Information Theory · Computer Science 2011-02-25 Rizwan Ghaffar , Dimitris Toumpakaris , Jungwon Lee

In parameter estimation, assumptions about the model are typically considered which allow us to build optimal estimation methods under many statistical senses. However, it is usually the case where such models are inaccurately known or not…

Statistics Theory · Mathematics 2015-12-14 Adrià Gusi-Amigó , Pau Closas , Luc Vandendorpe

Consider the minimum mean-square error (MMSE) of estimating an arbitrary random variable from its observation contaminated by Gaussian noise. The MMSE can be regarded as a function of the signal-to-noise ratio (SNR) as well as a functional…

Information Theory · Computer Science 2010-04-21 Dongning Guo , Yihong Wu , Shlomo Shamai , Sergio Verdu

We use the idea of dependence balance to obtain a new outer bound for the capacity region of the discrete memoryless multiple access channel with noiseless feedback (MAC-FB). We consider a binary additive noisy MAC-FB whose feedback…

Information Theory · Computer Science 2016-11-17 Ravi Tandon , Sennur Ulukus

This paper provides comprehensive coding and outer bound for the half-duplex multiple access channel with generalized feedback (MAC-GF). Two users communicate with one destination over a discrete memoryless channel using time division. Each…

Information Theory · Computer Science 2011-08-02 Ahmad Abu Al Haija , Mai Vu

We study the interaction between two interfering Gaussian 2-user multiple access channels. The capacity region is characterized under mixed strong--extremely strong interference and individually very strong interference. Furthermore, the…

Information Theory · Computer Science 2011-03-15 Anas Chaaban , Aydin Sezgin , Bernd Bandemer , Arogyaswami Paulraj

Lattice coding and decoding have been shown to achieve the capacity of the additive white Gaussian noise (AWGN) channel. This was accomplished using a minimum mean-square error scaling and randomization to transform the AWGN channel into a…

Information Theory · Computer Science 2013-08-08 Charles H. Swannack , Uri Erez , Gregory W. Wornell

This note examines the behavior of generalization capabilities - as defined by out-of-sample mean squared error (MSE) - of Linear Gaussian (with a fixed design matrix) and Linear Least Squares regression. Particularly, we consider a…

Statistics Theory · Mathematics 2021-09-21 Karthik Duraisamy

An alternative to extrinsic information transfer (EXIT) charts called mean squared error (MSE) charts that use a measure related to the MSE instead of mutual information is proposed. Using the relationship between mutual information and…

Information Theory · Computer Science 2007-07-13 Kapil Bhattad , Krishna Narayanan

We consider the problem of modulation and estimation of a random parameter $U$ to be conveyed across a discrete memoryless channel. Upper and lower bounds are derived for the best achievable exponential decay rate of a general moment of the…

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

This paper presents the development of a joint optimization of an automatic gain control (AGC) algorithm and a linear \textit{minimum mean square error} (MMSE) receiver for multi-user multiple input multiple output (MU-MIMO) systems with…

Information Theory · Computer Science 2018-10-30 T. Cunha , R. C. de Lamare

We present the marginal unbiased score expansion (MUSE) method, an algorithm for generic high-dimensional hierarchical Bayesian inference. MUSE performs approximate marginalization over arbitrary non-Gaussian latent parameter spaces,…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-01 Marius Millea , Uros Seljak

This paper considers linear minimum meansquare- error (MMSE) transceiver design problems for downlink multiuser multiple-input multiple-output (MIMO) systems where imperfect channel state information is available at the base station (BS)…

Optimization and Control · Mathematics 2013-11-26 Tadilo Endeshaw Bogale , Luc Vandendorpe

This paper studies the second-order asymptotics of the Gaussian multiple-access channel with degraded message sets. For a fixed average error probability $\varepsilon \in (0,1)$ and an arbitrary point on the boundary of the capacity region,…

Information Theory · Computer Science 2015-10-07 Jonathan Scarlett , Vincent Y. F. Tan

We investigate whether uncoded schemes are optimal for Gaussian sources on multiuser Gaussian channels. Particularly, we consider two problems: the first is to send correlated Gaussian sources on a Gaussian broadcast channel where each…

Information Theory · Computer Science 2017-03-02 Chao Tian , Jun Chen , Suhas Diggavi , Shlomo Shamai

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

The minimum mean-squared error (MMSE) is one of the most popular criteria for Bayesian estimation. Conversely, the signal-to-noise ratio (SNR) is a typical performance criterion in communications, radar, and generally detection theory. In…

Information Theory · Computer Science 2016-10-12 Luca Rugini , Paolo Banelli