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This work introduces a novel class of channel estimators tailored for coarse quantization systems. The proposed estimators are founded on conditionally Gaussian latent generative models, specifically Gaussian mixture models (GMMs), mixture…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Benedikt Fesl , Nurettin Turan , Benedikt Böck , Wolfgang Utschick

A difficulty in MSE estimation occurs because we do not specify a full distribution for the survey weights. This obfuscates the use of fully parametric bootstrap procedures. To overcome this challenge, we develop a novel MSE estimator. We…

Methodology · Statistics 2022-10-25 Yanghyeon Cho , Emily Berg

Precoding design based on weighted sum-rate (WSR) maximization is a fundamental problem in downlink multi-user multiple-input multiple-output (MU-MIMO) systems. While the weighted minimum mean-square error (WMMSE) algorithm is a standard…

Signal Processing · Electrical Eng. & Systems 2025-10-24 Xi Gao , Akang Wang , Junkai Zhang , Qihong Duan , Jiang Xue

Maximum-a-posteriori (MAP) approaches are an effective framework for inverse problems with known forward operators, particularly when combined with expressive priors and careful parameter selection. In blind settings, however, their use…

Information Theory · Computer Science 2026-02-13 Nathan Buskulic , Luca Calatroni

Motivated by emerging technologies for energy efficient analog computing and continuous-time processing, this paper proposes continuous-time minimum mean squared error estimation for multiple-input multiple-output (MIMO) systems based on an…

Information Theory · Computer Science 2022-09-05 Ayano Nakai-Kasai , Tadashi Wadayama

The mean squared error (MSE) is a ubiquitous loss function for speech enhancement, but its problem is that the error cannot reflect the auditory perception quality. This is because MSE causes models to over-emphasize low-frequency…

Sound · Computer Science 2025-11-11 Zixuan Li , Xueliang Zhang , Changjiang Zhao , Shuai Gao , Lei Miao , Zhipeng Yan , Ying Sun , Chong Zhu

We present a neural network based predictor which is derived by starting from the linear minimum mean squared error (LMMSE) predictor and by further making two key assumptions. With these assumptions, we first derive a weighted sum of LMMSE…

Information Theory · Computer Science 2019-11-19 Nurettin Turan , Wolfgang Utschick

The minimum mean square error of the estimation of a non Gaussian signal where observed from an additive white Gaussian noise channel's output, is analyzed. First, a quite general time-continuous channel model is assumed for which the…

Information Theory · Computer Science 2010-02-04 Jacob Binia

In massive multiple-input multiple-output (MIMO) systems, the knowledge of the users' channel covariance matrix is crucial for minimum mean square error (MMSE) channel estimation in the uplink as well as it plays an important role in…

Information Theory · Computer Science 2022-06-07 Tianyu Yang , Mahdi Barzegar Khalilsarai , Saeid Haghighatshoar , Giuseppe Caire

We propose an adversarial evaluation framework for sensitive feature inference based on minimum mean-squared error (MMSE) estimation with a finite sample size and linear predictive models. Our approach establishes theoretical lower bounds…

Machine Learning · Statistics 2025-05-15 Monica Welfert , Nathan Stromberg , Mario Diaz , Lalitha Sankar

Sparse channel estimation problem is one of challenge technical issues in stable broadband wireless communications. Based on square error criterion (SEC), adaptive sparse channel estimation (ASCE) methods, e.g., zero-attracting least mean…

Information Theory · Computer Science 2015-03-04 Guan Gui , Li Xu , Shinya Matsushita

In this letter, we investigate an important and famous issue, namely weighted mean-square-error (MSE) minimization transceiver designs. In our work, for transceiver designs a novel weighted MSE model is proposed, which is defined as a…

Information Theory · Computer Science 2013-02-28 Chengwen Xing , Wenzhi Li , Shaodan Ma , Zesong Fei , Jingming Kuang

We study the problem of downlink channel estimation in multi-user massive multiple input multiple output (MIMO) systems. To this end, we consider a Bayesian compressive sensing approach in which the clustered sparse structure of the channel…

Information Theory · Computer Science 2021-06-08 Mohammed Rashid , Mort Naraghi-Pour

We consider the problem of estimating an input signal from noisy measurements in both parallel scalar Gaussian channels and linear mixing systems. The performance of the estimation process is quantified by the $\ell_\infty$ norm error…

Information Theory · Computer Science 2013-04-23 Jin Tan , Dror Baron , Liyi Dai

This paper investigates the low-complex linear minimum mean squared error (LMMSE) channel estimation in an extra-large scale MIMO system with the spherical wave model (SWM). We model the extra-large scale MIMO channels using the SWM in the…

Information Theory · Computer Science 2023-10-24 Xumin Pu , Zhinan Sun , Qianbin Chen , Shi Jin

The fundamental task of a digital receiver is to decide the transmitted symbols in the best possible way, i.e., with respect to an appropriately defined performance metric. Examples of usual performance metrics are the probability of error…

Information Theory · Computer Science 2013-03-19 Dimitrios Katselis , Cristian R. Rojas , Håkan Hjalmarsson , Mats Bengtsson , Mikael Skoglund

Reconfigurable intelligent surface (RIS)-assisted orthogonal frequency division multiplexing (OFDM) systems have aroused extensive research interests due to the controllable communication environment and the performance of combating…

Signal Processing · Electrical Eng. & Systems 2021-10-27 Chaojin Qing , Li Wang , Lei Dong , Jiafan Wang

Integrated sensing and communication is regarded as a key enabler for next-generation wireless networks. To optimize the transmitted waveform for both sensing and communication, various performance metrics must be considered. This work…

Minimum mean squared error (MMSE) estimators of signals from samples corrupted by jitter (timing noise) and additive noise are nonlinear, even when the signal prior and additive noise have normal distributions. This paper develops a…

Applications · Statistics 2015-03-24 Daniel S. Weller , Vivek K Goyal

Minimum mean square error (MMSE) estimation is widely used in signal processing and related fields. While it is known to be non-continuous with respect to all standard notions of stochastic convergence, it remains robust in practical…

Signal Processing · Electrical Eng. & Systems 2025-05-01 Elad Domanovitz , Anatoly Khina
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