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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

Factor extraction from systems of variables with a large cross-sectional dimension, $N$, is often based on either Principal Components (PC)-based procedures, or Kalman filter (KF)-based procedures. Measuring the uncertainty of the extracted…

Econometrics · Economics 2026-01-08 Matteo Barigozzi , Diego Fresoli , Esther Ruiz

Deep learning models are trained to minimize the error between the model's output and the actual values. The typical cost function, the Mean Squared Error (MSE), arises from maximizing the log-likelihood of additive independent, identically…

Machine Learning · Computer Science 2021-05-12 Anand Ramakrishnan , Warren B. Jackson , Kent Evans

This paper considers pilot-based channel estimation in large-scale multiple-input multiple-output (MIMO) communication systems, also known as massive MIMO, where there are hundreds of antennas at one side of the link. Motivated by the fact…

Information Theory · Computer Science 2015-06-18 Nafiseh Shariati , Emil Björnson , Mats Bengtsson , Mérouane Debbah

The main purpose of this paper is to study the performance of two linear channel estimators for LTE Downlink systems, the Least Square Error (LSE) and the Linear Minimum Mean Square Error (LMMSE). As LTE is a MIMO-OFDM based system, a…

Networking and Internet Architecture · Computer Science 2011-11-08 Abdelhakim Khlifi , Ridha Bouallegue

Baseband processing algorithms often require knowledge of the noise power, signal power, or signal-to-noise ratio (SNR). In practice, these parameters are typically unknown and must be estimated. Furthermore, the mean-square error (MSE) is…

Signal Processing · Electrical Eng. & Systems 2023-03-28 Alexandra Gallyas-Sanhueza , Christoph Studer

This paper proposes a novel Bayesian reciprocity calibration method that consistently ensures uplink and downlink channel reciprocity in repeater-assisted multiple-input multiple-output (MIMO) systems. The proposed algorithm is formulated…

Signal Processing · Electrical Eng. & Systems 2026-02-06 Shoma Hara , Takumi Takahashi , Hiroki Iimori , Hideki Ochiai , Erik G. Larsson

We study the effect of fading in the communication channels between sensor nodes on the performance of the incremental least mean square (ILMS) algorithm, and derive steady state performance metrics, including the mean-square deviation…

Information Theory · Computer Science 2015-09-10 Azam Khalili , Amir Rastegarnia

Mixtures-of-Experts models and their maximum likelihood estimation (MLE) via the EM algorithm have been thoroughly studied in the statistics and machine learning literature. They are subject of a growing investigation in the context of…

Machine Learning · Statistics 2019-09-13 Faïcel Chamroukhi , Florian Lecocq , Hien D. Nguyen

We consider the characterization of the asymptotic behavior of the average minimum mean-squared error (MMSE) and the average mutual information in scalar and vector fading coherent channels, where the receiver knows the exact fading channel…

Information Theory · Computer Science 2012-10-17 Alberto Gil C. P. Ramos , Miguel R. D. Rodrigues

We consider the problem of signal estimation (denoising) from a statistical mechanical perspective, using a relationship between the minimum mean square error (MMSE), of estimating a signal, and the mutual information between this signal…

Information Theory · Computer Science 2016-11-17 Neri Merhav , Dongning Guo , Shlomo Shamai

The large-system performance of MAP estimation is studied considering a general distortion function when the observation vector is received through a linear system with additive white Gaussian noise. The analysis considers the system matrix…

Information Theory · Computer Science 2017-10-24 Ali Bereyhi , Ralf R. Müller , Hermann Schulz-Baldes

Frequency Modulated Continuous Wave (FMCW) radar has been widely applied in automotive anti-collision systems, automatic cruise control, and indoor monitoring. However, conventional analog-to-digital converters (ADCs) can suffer from…

Signal Processing · Electrical Eng. & Systems 2023-12-27 Qi Zhang , Jiang Zhu , Fengzhong Qu , De Wen Soh

We consider the transmission of a Gaussian vector source over a multi-dimensional Gaussian channel where a random or a fixed subset of the channel outputs are erased. Within the setup where the only encoding operation allowed is a linear…

Information Theory · Computer Science 2015-03-19 Ayça Özçelikkale , Serdar Yüksel , Haldun M. Ozaktas

This paper analyzes the impact of spatially correlated additive noise on the minimum mean-square error (MMSE) estimation of multiple-input multiple-output (MIMO) channels from one-bit quantized observations. Although additive noise can be…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Minhua Ding , Prathapasinghe Dharmawansa , Italo Atzeni , Antti Tölli

A bilateral (i.e., upper and lower) bound on the mean-square error under a general model mismatch is developed. The bound, which is derived from the variational representation of the chi-square divergence, is applicable in the Bayesian and…

Signal Processing · Electrical Eng. & Systems 2023-05-16 Amir Weiss , Alejandro Lancho , Yuheng Bu , Gregory W. Wornell

We consider the problem of jointly optimum modulation and estimation of a real-valued random parameter, conveyed over an additive white Gaussian noise (AWGN) channel, where the performance metric is the large deviations behavior of the…

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

This letter studies the low-complexity channel estimation for orthogonal time frequency space (OTFS) in the presence of hardware impairments. Firstly, to tackle the computational complexity of channel estimation, the basis expansion model…

Signal Processing · Electrical Eng. & Systems 2025-02-07 Haowei Wu , Huanyu Chen , Qihao Peng , Qu Luo , Jinglan Ou

This paper studies the problem of estimation from relative measurements in a graph, in which a vector indexed over the nodes has to be reconstructed from pairwise measurements of differences between its components associated to nodes…

Systems and Control · Computer Science 2018-07-27 Chiara Ravazzi , Nelson P. K. Chan , Paolo Frasca

This paper presents a mutual coupling based calibration method for time-division-duplex massive MIMO systems, which enables downlink precoding based on uplink channel estimates. The entire calibration procedure is carried out solely at the…

Information Theory · Computer Science 2017-02-22 Joao Vieira , Fredrik Rusek , Ove Edfors , Steffen Malkowsky , Liang Liu , Fredrik Tufvesson