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In nonlinear deterministic parameter estimation, the maximum likelihood estimator (MLE) is unable to attain the Cramer-Rao lower bound at low and medium signal-to-noise ratios (SNR) due the threshold and ambiguity phenomena. In order to…

Applications · Statistics 2015-06-19 Achraf Mallat , Sinan Gezici , Davide Dardari , Christophe Craeye , Luc Vandendorpe

This paper considers the Cram\`er-Rao lower Bound (CRB) for the source localization problem in the near field. More specifically, we use the exact expression of the delay parameter for the CRB derivation and show how this exact CRB can be…

Computational Engineering, Finance, and Science · Computer Science 2013-03-11 Youcef Begriche , Messaoud Thameri , Karim Abed-Meraim

In many practical parameter estimation problems, such as coefficient estimation of polynomial regression, the true model is unknown and thus, a model selection step is performed prior to estimation. The data-based model selection step…

Signal Processing · Electrical Eng. & Systems 2024-10-30 Elad Meir , Tirza Routtenberg

Radar uncertainty principle indicates that there is an inherent invariance in the product of the time-delay and Doppler-shift measurement accuracy and resolution which can be tuned by the waveform at transmitter. In this paper, based on the…

Signal Processing · Electrical Eng. & Systems 2019-01-24 Seyed MohammadReza Hosseini , Afshin Isazadeh , Ali Noroozi , Mohammad Ali Sebt

This paper investigates coordinated beamforming using a modular linear array (MLA), composed of a pair of physically separated uniform linear arrays (ULAs), treated as sub-arrays. We focus on how such setups can give rise to near-field…

Signal Processing · Electrical Eng. & Systems 2024-12-05 Alva Kosasih , Özlem Tugfe Demir , Emil Björnson

This work conceives a Ring-Bayes channel learning framework that unifies Bayesian learning with near-field channel estimation in millimeter-wave (mmWave) hybrid MIMO systems. As the number of antennas scales up, users increasingly fall…

Signal Processing · Electrical Eng. & Systems 2026-05-08 Abhisha Garg , Priya Gupta , Suraj Srivastava , Aditya Jagannatham

This work is devoted to solve the problem of estimating the carrier frequency offset, phase offset, amplitude, and SNR between two mmWave transceivers. The Cram\'{e}r-Rao Lower Bound (CRLB) for the different parameters is provided first, as…

Information Theory · Computer Science 2017-12-19 Javier Rodríguez-Fernández , Nuria González-Prelcic , Robert W. Heath

Estimation under model misspecification arises in many signal processing problems, where the assumed observation model deviates from the true data-generating mechanism due to errors or simplifications. The misspecified Cram\'er-Rao bound…

Statistics Theory · Mathematics 2026-05-21 Malaak Khatib , Nadav Harel , Joseph Tabrikian , Tirza Routtenberg

To achieve the joint active and passive beamforming gains in the reconfigurable intelligent surface assisted millimeter wave system, the reflected cascade channel needs to be accurately estimated. Many strategies have been proposed in the…

Information Theory · Computer Science 2021-09-22 Yiming Liu , Erwu Liu , Rui Wang , Zhu Han , Binyu Lu

In this paper, we consider signals with a low-rank covariance matrix which reside in a low-dimensional subspace and can be written in terms of a finite (small) number of parameters. Although such signals do not necessarily have a sparse…

Statistics Theory · Mathematics 2023-07-19 Mahdi Shaghaghi , Sergiy A. Vorobyov

Joint communication and radar (JCR) waveforms with fully digital baseband generation and processing can now be realized at the millimeter-wave (mmWave) band. Prior work has proposed a mmWave wireless local area network (WLAN)-based JCR that…

Signal Processing · Electrical Eng. & Systems 2021-09-21 Preeti Kumari , Sergiy A. Vorobyov , Robert W. Heath

Movable antennas (MAs) have emerged as a promising technology to improve wireless communication and sensing performance towards sixth-generation (6G) networks through flexible antenna movement. In this paper, we propose a novel wireless…

Signal Processing · Electrical Eng. & Systems 2025-11-25 Haobin Mao , Lipeng Zhu , Wenyan Ma , Zhenyu Xiao , Xiang-Gen Xia , Rui Zhang

Neural networks are increasingly used to estimate parameters in quantitative MRI, in particular in magnetic resonance fingerprinting. Their advantages over the gold standard non-linear least square fitting are their superior speed and their…

In this paper, we analyze the performance of the estimation of Laplacian matrices under general observation models. Laplacian matrix estimation involves structural constraints, including symmetry and null-space properties, along with matrix…

Machine Learning · Statistics 2025-04-08 Morad Halihal , Tirza Routtenberg , H. Vincent Poor

Magnetic induction (MI) enables communication in RF-denied environments (underground, underwater, in-body), where the medium conductivity imprints a deterministic signature on the channel. This letter derives a closed-form Cram\'{e}r--Rao…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Haofan Dong , Ozgur B. Akan

Autonomous driving and advanced active safety features require accurate high-resolution sensing capabilities. Automotive radars are the key component of the vehicle sensing suit. However, when these radars operate in proximity to flat…

Signal Processing · Electrical Eng. & Systems 2023-05-15 Moshe Levy-Israel , Igal Bilik , Joseph Tabrikian

Multiple input multiple output (MIMO) radar is known for its superiority over conventional radar due to its antenna and waveform diversity. Although higher angular resolution, improved parameter identifiability, and better target detection…

Signal Processing · Electrical Eng. & Systems 2019-01-30 Ehsan Tohidi , Mario Coutino , Sundeep Prabhakar Chepuri , Hamid Behroozi , Mohammad Mahdi Nayebi , Geert Leus

In this paper, we consider a multiple-input multiple-output (MIMO) radar system for localizing a target based on its reflected echo signals. Specifically, we aim to estimate the random and unknown angle information of the target, by…

Information Theory · Computer Science 2023-05-16 Chan Xu , Shuowen Zhang

Radio-frequency simultaneous localization and mapping (RF-SLAM) methods jointly infer the position of mobile transmitters and receivers in wireless networks, together with a geometric map of the propagation environment. An inferred map of…

Signal Processing · Electrical Eng. & Systems 2025-10-24 Benjamin J. B. Deutschmann , Xuhong Li , Florian Meyer , Erik Leitinger

In this paper we describe a new methodology to calculate analytically the error for a maximum likelihood estimate (MLE) for physical parameters from Gravitational wave signals. All the existing litterature focuses on the usage of the Cramer…

General Relativity and Quantum Cosmology · Physics 2011-08-15 Michele Zanolin , Salvatore Vitale , Nicholas Makris