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The Bayesian Cram\'er-Rao bound (CRB) provides a lower bound on the mean square error of any Bayesian estimator under mild regularity conditions. It can be used to benchmark the performance of statistical estimators, and provides a…

机器学习 · 统计学 2024-09-09 Evan Scope Crafts , Xianyang Zhang , Bo Zhao

In this study, the hybrid Cramer-Rao bound (CRB) is developed for target localization, to establish the sensitivity of the estimation mean-square error (MSE) to the level of phase synchronization mismatch in coherent Multiple-Input…

信息论 · 计算机科学 2009-10-30 Hana Godrich , Alexander M. Haimovich , H. Vincent Poor

In this paper, we derive the Cramer-Rao bound (CRB) for joint target position and velocity estimation using an active or passive distributed radar network under more general, and practically occurring, conditions than assumed in previous…

统计理论 · 数学 2016-04-20 Qian He , Jianbin Hu , Rick S. Blum , Yonggang Wu

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

Only with the simultaneous estimation of multiple parameters are the quantum aspects of metrology fully revealed. This is due to the incompatibility of observables. The fundamental bound for multi-parameter quantum estimation is the Holevo…

量子物理 · 物理学 2019-11-20 Francesco Albarelli , Jamie F. Friel , Animesh Datta

The Bayesian Cram\'er-Rao bound (BCRB) is a crucial tool in signal processing for assessing the fundamental limitations of any estimation problem as well as benchmarking within a Bayesian frameworks. However, the BCRB cannot be computed…

信号处理 · 电气工程与系统科学 2025-02-11 Hai Victor Habi , Hagit Messer , Yoram Bresler

In this paper, we derive for the first time the exact Cramer-Rao bounds (CRBs) on semi-blind channel estimation for amplify-and-forward two-way relay networks. The bounds cover a wide range of modulation schemes that satisfy a certain…

信息论 · 计算机科学 2012-07-24 Saeed Abdallah , Ioannis N. Psaromiligkos

Direction-of-arrival (DOA) estimation is one of the most demanding tasks for the millimeter wave (mmWave) communication of massive multiple-input multiple-output (MIMO) systems with the hybrid beamforming (HBF) architecture. In this paper,…

信息论 · 计算机科学 2021-09-01 Tian Lin , Xuemeng Zhou , Yu Zhu , Yi Jiang

Performance bounds for parameter estimation play a crucial role in statistical signal processing theory and applications. Two widely recognized bounds are the Cram\'{e}r-Rao bound (CRB) in the non-Bayesian framework, and the Bayesian CRB…

信息论 · 计算机科学 2023-11-27 Ori Aharon , Joseph Tabrikian

The estimation of multiple parameters in quantum metrology is important for a vast array of applications in quantum information processing. However, the unattainability of fundamental precision bounds for incompatible observables has…

量子物理 · 物理学 2021-02-17 Jasminder S. Sidhu , Yingkai Ouyang , Earl T. Campbell , Pieter Kok

In this paper, we propose multi-input multi-output (MIMO) beamforming designs towards joint radar sensing and multi-user communications. We employ the Cram\'er-Rao bound (CRB) as a performance metric of target estimation, under both point…

信号处理 · 电气工程与系统科学 2022-01-26 Fan Liu , Ya-Feng Liu , Ang Li , Christos Masouros , Yonina C. Eldar

Frequentist and Bayesian phase estimation strategies lead to conceptually different results on the state of knowledge about the true value of the phase shift. We compare the two frameworks and their sensitivity bounds to the estimation of…

量子物理 · 物理学 2018-11-27 Yan Li , Luca Pezzè , Manuel Gessner , Weidong Li , Augusto Smerzi

Mixed-resolution architectures, combining high-resolution (analog) data with coarsely quantized (e.g., 1-bit) data, are widely employed in emerging communication and radar systems to reduce hardware costs and power consumption. However, the…

信号处理 · 电气工程与系统科学 2025-08-29 Yaniv Mazor , Tirza Routtenberg

Velocity estimation is a cornerstone of the recently introduced near-field predictive beamforming. This paper derives the Cramer-Rao bounds (CRBs) for joint radial and transverse velocity estimation within a predictive beamforming framework…

信号处理 · 电气工程与系统科学 2026-05-19 Khalid A. Alshumayri , Mudassir Masood , Ali. A. Nasir

In this paper, we address the theoretical limitations in reconstructing sparse signals (in a known complete basis) using compressed sensing framework. We also divide the CS to non-blind and blind cases. Then, we compute the Bayesian…

信息论 · 计算机科学 2010-05-25 Hadi Zayyani , Massoud Babaie-Zadeh , Christian Jutten

The Cram\'er-Rao bound (CRB), a well-known lower bound on the performance of any unbiased parameter estimator, has been used to study a wide variety of problems. However, to obtain the CRB, requires an analytical expression for the…

机器学习 · 计算机科学 2022-10-11 Hai Victor Habi , Hagit Messer , Yoram Bresler

In this letter, we develop a unified Cram\'{e}r-Rao bound (CRB) framework to characterize the fundamental performance limits of transmission activity detection in fluid antenna systems (FASs) and conventional multiple fixed-position antenna…

信息论 · 计算机科学 2026-04-22 Zhentian Zhang , Kai-Kit Wong , Hao Jiang , Christos Masouros , Chan-Byoung Chae

Several current ultra-wide band applications, such as millimeter wave radar and communication systems, require high sampling rates and therefore expensive and energy-hungry analogto-digital converters (ADCs). In applications where cost and…

信号处理 · 电气工程与系统科学 2022-09-28 Petre Stoica , Xiaolei Shang , Yuanbo Cheng

In this paper, we derive Hybrid, Bayesian and Marginalized Cram\'{e}r-Rao lower bounds (HCRB, BCRB and MCRB) for the single and multiple measurement vector Sparse Bayesian Learning (SBL) problem of estimating compressible vectors and their…

机器学习 · 计算机科学 2015-06-04 Ranjitha Prasad , Chandra R. Murthy

For a fixed average energy, the simultaneous estimation of multiple phases can provide a better total precision than estimating them individually. We show this for a multimode interferometer with a phase in each mode, using Gaussian inputs…

量子物理 · 物理学 2016-11-03 Christos N. Gagatsos , Dominic Branford , Animesh Datta
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