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Related papers: Learning The MMSE Channel Predictor

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In this work, we use real-world data in order to evaluate and validate a machine learning (ML)-based algorithm for physical layer functionalities. Specifically, we apply a recently introduced Gaussian mixture model (GMM)-based algorithm in…

Information Theory · Computer Science 2022-07-29 Nurettin Turan , Benedikt Fesl , Moritz Grundei , Michael Koller , Wolfgang Utschick

The BCJR algorithm is renowned for its optimal equalization, minimizing bit error rate (BER) over intersymbol interference (ISI) channels. However, its complexity grows exponentially with the channel memory, posing a significant…

Signal Processing · Electrical Eng. & Systems 2025-03-14 Vadim Rozenfeld , Dan Raphaeli , Oded Bialer

We study a fundamental transfer learning process from source to target linear regression tasks, including overparameterized settings where there are more learned parameters than data samples. The target task learning is addressed by using…

Machine Learning · Computer Science 2024-06-03 Yehuda Dar , Daniel LeJeune , Richard G. Baraniuk

The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic basis by random coefficients. An extended underdetermined…

Statistics Theory · Mathematics 2014-05-06 Piero Barone , Isabella Lari

The minimum mean-square error of the estimation of a signal where observed from the additive white Gaussian noise (WGN) channel's output, is analyzed. It is assumed that the channel input's signal is composed of a (normalized) sum of N…

Information Theory · Computer Science 2007-07-13 Jacob Binia

This paper considers channel estimation and achievable rates for the uplink of a massive multiple-input multiple-output (MIMO) system where the base station is equipped with one-bit analog-to-digital converters (ADCs). By rewriting the…

Information Theory · Computer Science 2016-11-15 Yongzhi Li , Cheng Tao , Liu Liu , Gonzalo Seco-Granados , A. Lee Swindlehurst

We consider the problem of sequentially learning to estimate, in the mean squared error (MSE) sense, a Gaussian $K$-vector of unknown covariance by observing only $m < K$ of its entries in each round. We propose two MSE estimators, and…

Machine Learning · Computer Science 2025-05-05 Ayon Ghosh , L. A. Prashanth , Dipayan Sen , Aditya Gopalan

This paper develops a linear minimum mean-square error (LMMSE) channel estimator for single and multicarrier systems that takes advantage of the mutual coupling in antenna arrays. We model the mutual coupling through multiport networks and…

Information Theory · Computer Science 2023-04-18 Bamelak Tadele , Volodymyr Shyianov , Faouzi Bellili , Amine Mezghani

It is well known that building analytical performance models in practice is difficult because it requires a considerable degree of proficiency in the underlying mathematics. In this paper, we propose a machine-learning approach to derive…

Performance · Computer Science 2020-02-26 Giulio Garbi , Emilio Incerto , Mirco Tribastone

Artificial neural networks can acquire many aspects of human knowledge from data, making them promising as models of human learning. But what those networks can learn depends upon their inductive biases -- the factors other than the data…

Machine Learning · Computer Science 2025-02-28 Gianluca Bencomo , Max Gupta , Ioana Marinescu , R. Thomas McCoy , Thomas L. Griffiths

Many attempts took place to improve the adaptive filters that can also be useful to improve backpropagation (BP). Normalized least mean squares (NLMS) is one of the most successful algorithms derived from Least mean squares (LMS). However,…

Machine Learning · Computer Science 2021-01-05 Naeem Paeedeh , Kamaledin Ghiasi-Shirazi

We consider the problem of learning a dictionary matrix from a number of observed signals, which are assumed to be generated via a linear model with a common underlying dictionary. In particular, we derive lower bounds on the minimum…

Machine Learning · Statistics 2015-07-21 Alexander Jung , Yonina C. Eldar , Norbert Görtz

We introduce a class of neural networks derived from probabilistic models in the form of Bayesian belief networks. By imposing additional assumptions about the nature of the probabilistic models represented in the belief networks, we derive…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. J. Barber , J. W. Clark , C. H. Anderson

In this paper, we propose an innovative learning-based channel prediction scheme so as to achieve higher prediction accuracy and reduce the requirements of huge amounts and strict sequential format of channel data. Inspired by the idea of…

Signal Processing · Electrical Eng. & Systems 2023-11-30 Zhuoran Xiao , Zhaoyang Zhang , Zirui Chen , Zhaohui Yang , Chongwen Huang , Xiaoming Chen

We study the optimal linear prediction of a random function that takes values in an infinite dimensional Hilbert space. We begin by characterizing the mean square prediction error (MSPE) associated with a linear predictor and discussing the…

Statistics Theory · Mathematics 2025-09-10 Won-Ki Seo

We present a unified large system analysis of linear receivers for a class of random matrix channels. The technique unifies the analysis of both the minimum-mean-squared-error (MMSE) receiver and the adaptive least-squares (ALS) receiver,…

Information Theory · Computer Science 2009-09-29 Matthew J. M. Peacock , Iain B. Collings , Michael L. Honig

This paper considers nonparametric regression from strongly mixing observations. The proposed approach is based on deep neural networks with minimum error entropy (MEE) principle. We study two estimators: the non-penalized deep neural…

Machine Learning · Statistics 2026-03-13 William Kengne , Modou Wade

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 investigates the combination of parametric channel estimation with minimum mean square error (MMSE) estimation. We propose a direction-of-arrival (DoA)-aided two-stage channel estimation technique that utilizes the decomposition…

Signal Processing · Electrical Eng. & Systems 2024-04-29 Franz Weißer , Nurettin Turan , Wolfgang Utschick

Deep learning (DL) has emerged as an effective tool for channel estimation in wireless communication systems, especially under some imperfect environments. However, even with such unprecedented success, DL methods are often regarded as…

Signal Processing · Electrical Eng. & Systems 2020-05-19 Hu Qiang , Gao Feifei , Zhang Hao , Jin Shi , Li Geoffrey Ye