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The recent trend for extremely massive antenna arrays and high frequencies facilitates localization and sensing, offering increased angular and range resolution. In this letter, we focus on the emerging technology of Dynamic Metasurface…

信号处理 · 电气工程与系统科学 2025-02-25 Ioannis Gavras , George C. Alexandropoulos

This paper presents an analysis of target localization accuracy, attainable by the use of MIMO (Multiple-Input Multiple-Output) radar systems, configured with multiple transmit and receive sensors, widely distributed over a given area. The…

信息论 · 计算机科学 2016-11-18 Hana Godrich , Alexander M. Haimovich , Rick S. Blum

In this paper, the Cram\'{e}r-Rao Bounds (CRB) for the simultaneous estimation of power system electromechanical modes and forced oscillations (FO) are derived. Two cases are considered; in the first case only the steady-state response to…

信号处理 · 电气工程与系统科学 2025-11-21 Luke Dosiek

We revisit the problem of computing submatrices of the Cram\'er-Rao bound (CRB), which lower bounds the variance of any unbiased estimator of a vector parameter $\vth$. We explore iterative methods that avoid direct inversion of the Fisher…

信息论 · 计算机科学 2015-06-04 Paul Tune

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…

This document provides detailed step-by-step derivations for the Cram\'er-Rao Bounds (CRB) for sensing parameters and the refined Signal-to-Interference-plus-Noise Ratio (SINR) expressions under imperfect Channel State Information (CSI) and…

信号处理 · 电气工程与系统科学 2025-06-04 Bruno Felipe Costa , Taufik Abrão

In practical nonlinear filtering, the assessment of achievable filtering performance is important. In this paper, we focus on the problem of efficiently approximate the posterior Cramer-Rao lower bound (CRLB) in a recursive manner. By using…

应用统计 · 统计学 2010-05-31 Ming Lei , Pierre Del Moral , Christophe Baehr

Although direct position estimation (DPE) has been demonstrated to offer enhanced robustness in GNSS receivers, its theoretical limits and performance in OFDM based positioning systems remain largely unexplored. In this paper, the…

信号处理 · 电气工程与系统科学 2025-08-05 Sijia Li , Rui Sun , Bing Xu , Yuanwei Liu

In some estimation problems, not all the parameters can be identified, which results in singularity of the Fisher Information Matrix (FIM). The Cram\'er-Rao Bound (CRB), which is the inverse of the FIM, is then not defined. To regularize…

信息论 · 计算机科学 2018-07-24 Elisabeth de Carvalho , Dirk Slock

This paper presents Cram\'er-Rao Lower Bound (CRLB) for the complex-valued Blind Source Extraction (BSE) problem based on the assumption that the target signal is independent of the other signals. Two instantaneous mixing models are…

统计理论 · 数学 2020-10-28 Václav Kautský , Zbyněk Koldovský , Petr Tichavský , Vicente Zarzoso

We consider a novel and general approach to easily compute the Cram\'er-Rao Lower Bounds (CRLBs) of rigid body localization (RBL) problem using arbitrary types of information. To that end, we adopt an information-centric construction of the…

Advanced super-resolution imaging techniques require specific approaches for accurate and consistent estimation of the achievable spatial resolution. Fisher information supplied to Cramer-Rao bound (CRB) has proved to be a powerful and…

This paper investigates the potential of near-field localization using widely-spaced multi-subarrays (WSMSs) and analyzing the corresponding angle and range Cram\'er-Rao bounds (CRBs). By employing the Riemann sum, closed-form CRB…

信号处理 · 电气工程与系统科学 2025-04-01 Songjie Yang , Xinyi Chen , Yue Xiu , Wanting Lyu , Zhongpei Zhang , Chau Yuen

This work presents a geometric refinement of the classical Cram\'er--Rao bound (CRB) in the non-asymptotic regime by incorporating curvature-aware corrections based on the second fundamental form associated with the statistical model…

统计理论 · 数学 2026-03-11 Sunder Ram Krishnan

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…

统计理论 · 数学 2026-05-21 Malaak Khatib , Nadav Harel , Joseph Tabrikian , Tirza Routtenberg

A Cramer-Rao bound (CRB) for semi-blind channel estimators in redundant block transmission systems is derived. The derived CRB is valid for any system adopting a full-rank linear redundant precoder, including the popular cyclic-prefixed…

信息论 · 计算机科学 2012-09-20 Yen-Huan Li , Borching Su , Ping-Cheng Yeh

We consider the problem of carrier frequency offset (CFO) estimation for a two-way relaying system based on the amplify-and-forward (AF) protocol. Our contributions are in designing an optimal preamble, and the corresponding estimator, to…

信息论 · 计算机科学 2012-08-17 Chin Keong Ho , Patrick Ho Wang Fung , Sumei Sun

This paper addresses the real-time state estimation problem for dynamic systems while protecting exogenous inputs against adversaries, who may be honest-but-curious third parties or external eavesdroppers. The Cram\'er-Rao lower bound…

系统与控制 · 电气工程与系统科学 2025-12-10 Liping Guo , Jimin Wang , Yanlong Zhao , Ji-Feng Zhang

We address the feasibility of a GNSS-R code-altimetry space mission and more specifically a dominant term of its error budget: the reflected-signal range precision. This is the RMS error on the reflected-signal delay, as estimated by…

大气与海洋物理 · 物理学 2007-05-23 O. Germain , G. Ruffini

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…

信息论 · 计算机科学 2023-05-16 Chan Xu , Shuowen Zhang