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This paper investigates the minimum mean square error (MMSE) estimation of x, given the observation y = Hx+n, when x and n are independent and Gaussian Mixture (GM) distributed. The introduction of GM distributions, represents a…

Statistics Theory · Mathematics 2011-08-18 John T. Flam , Saikat Chatterjee , Kimmo Kansanen , Torbjorn Ekman

Despite the simplicity and intuitive interpretation of Minimum Mean Squared Error (MMSE) estimators, their effectiveness in certain scenarios is questionable. Indeed, minimizing squared errors on average does not provide any form of…

Optimization and Control · Mathematics 2019-12-09 Dionysios S. Kalogerias , Luiz F. O. Chamon , George J. Pappas , Alejandro Ribeiro

The evaluation of supervised machine learning models is a critical stage in the development of reliable predictive systems. Despite the widespread availability of machine learning libraries and automated workflows, model assessment is often…

Machine Learning · Computer Science 2026-04-16 Xuanyan Liu , Ignacio Cabrera Martin , Marcello Trovati , Xiaolong Xu , Nikolaos Polatidis

This paper considers the joint impact of non-linear hardware impairments at the base station (BS) and user equipments (UEs) on the uplink performance of single-cell massive MIMO (multiple-input multiple-output) in practical Rician fading…

Information Theory · Computer Science 2022-06-22 Özlem Tugfe Demir , Emil Björnson

We take an information theoretic perspective on a classical sparse-sampling noisy linear model and present an analytical expression for the mutual information, which plays central role in a variety of communications/processing problems.…

Information Theory · Computer Science 2014-03-25 Wasim Huleihel , Neri Merhav , Shlomo Shamai

We consider the problem of distributed estimation, where local processors observe independent samples conditioned on a common random parameter of interest, map the observations to a finite number of bits, and send these bits to a remote…

Information Theory · Computer Science 2015-04-24 Aolin Xu , Maxim Raginsky

Channel denoising is a practical and effective technique for mitigating channel estimation errors in multiple-input multiple-output orthogonal frequency-division multiplexing (MIMO-OFDM) systems. However, adapting denoising techniques to…

Signal Processing · Electrical Eng. & Systems 2025-08-14 Sungyoung Ha , Ikbeom Lee , Seunghyeon Jeon , Yo-Seb Jeon

Suppose a linear model y = Hx + n, where inputs x, n are independent Gaussian mixtures. The problem is to design the transfer matrix H so as to minimize the mean square error (MSE) when estimating x from y. This problem has important…

Optimization and Control · Mathematics 2015-06-11 John T. Flåm , Dave Zachariah , Mikko Vehkaperä , Saikat Chatterjee

Context: Machine Learning (ML) significantly impacts Software Engineering (SE), but studies mainly focus on practitioners, neglecting researchers. This overlooks practices and challenges in teaching, researching, or reviewing ML…

Software Engineering · Computer Science 2024-12-02 Anamaria Mojica-Hanke , David Nader Palacio , Denys Poshyvanyk , Mario Linares-Vásquez , Steffen Herbold

In this paper, a two-stage channel estimation scheme for two-way MIMO relay systems with a single relay antenna is proposed. The backward channel is estimated by using linear minimum mean square estimator (LMMSE) at the first stage, where…

Information Theory · Computer Science 2021-12-15 Huiming Chen , Xiaohan Zhong

Deep learning has been extensively used in wireless communication problems, including channel estimation. Although several data-driven approaches exist, a fair and realistic comparison between them is difficult due to inconsistencies in the…

Artificial Intelligence · Computer Science 2023-11-14 Amal Feriani , Di Wu , Steve Liu , Greg Dudek

A low-complexity neural network based approach for channel estimation was proposed recently, where assumptions on the channel model were incorporated into the design procedure of the estimator. Instead of using data from a measurement…

Information Theory · Computer Science 2019-12-03 Nurettin Turan , Wolfgang Utschick

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

This work examines the use of two-way training to efficiently discriminate the channel estimation performances at a legitimate receiver (LR) and an unauthorized receiver (UR) in a multiple-input multiple-output (MIMO) wireless system. This…

Information Theory · Computer Science 2015-06-12 Chao-Wei Huang , Tsung-Hui Chang , Xiangyun Zhou , Y. -W. Peter Hong

This work considers millimeter-wave channel estimation in a setting where parameters of the underlying mmWave channels are varying dynamically over time and there is a single drifting path. In this setting, channel estimates at time block…

Information Theory · Computer Science 2020-05-06 Dror Baron , Cynthia Rush , Yavuz Yapici

In this work, we propose variations of a Gaussian mixture model (GMM) based channel estimator that was recently proven to be asymptotically optimal in the minimum mean square error (MMSE) sense. We account for the need of low computational…

Information Theory · Computer Science 2023-06-06 Benedikt Fesl , Michael Joham , Sha Hu , Michael Koller , Nurettin Turan , Wolfgang Utschick

This letter presents a pioneering method that employs deep learning within a probabilistic framework for the joint estimation of both direct and cascaded channels in an ambient backscatter (AmBC) network comprising multiple tags. In…

Signal Processing · Electrical Eng. & Systems 2023-12-27 Fatemeh Rezaei , S. Mojtaba Marvasti-Zadeh , Chintha Tellambura , Amine Maaref

In this letter, we propose a Gaussian mixture model (GMM)-based channel estimator which is learned on imperfect training data, i.e., the training data are solely comprised of noisy and sparsely allocated pilot observations. In a practical…

Signal Processing · Electrical Eng. & Systems 2023-02-14 Benedikt Fesl , Nurettin Turan , Michael Joham , Wolfgang Utschick

A new model for sparse time dispersive channels in pilot aided OFDM systems is developed by considering prior knowledge on channel time dispersions. Weighted atomic norm minimization is implemented in the model which enables a more accurate…

Information Theory · Computer Science 2018-10-26 Hoomaan Hezaveh , Iman Valiulahi , Mohammad Hossein Kahaei

Minimizing the Mean Squared Error (MSE) is a key objective in machine learning and is commonly used for imputing missing values. While this approach provides accurate point estimates, it introduces systematic biases in downstream analyses.…

Machine Learning · Statistics 2026-05-06 Stef van Buuren