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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 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

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

This paper presents a Cramer-Rao bound (CRB) for the estimation of parameters confined to an arbitrary set. Unlike existing results that rely on equality or inequality constraints, manifold structures, or the nonsingularity of the Fisher…

信号处理 · 电气工程与系统科学 2026-01-28 Heedong Do , Angel Lozano

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

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

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

In this work, we study the design of receivers for uplink multi-user systems, aiming to estimate both the channel and the transmitted symbols. We consider two estimation strategies: (i) a joint estimation approach, where the channel and…

信号处理 · 电气工程与系统科学 2026-05-12 Xue Zhang , Abla Kammoun , Mohamed-Slim Alouini

In this paper, we derive the Cramer-Rao bound (CRB) for blind channel estimation in redundant block transmission systems, a lower bound for the mean squared error of any blind channel estimators. The derived CRB is valid for any full-rank…

信息论 · 计算机科学 2011-02-08 Yen-Huan Li , Borching Su , Ping-Cheng Yeh

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

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

High-resolution parameter estimation algorithms designed to exploit the prior knowledge about incident signals from strictly second-order (SO) non-circular (NC) sources allow for a lower estimation error and can resolve twice as many…

信息论 · 计算机科学 2015-01-07 Jens Steinwandt , Florian Roemer , Martin Haardt , Giovanni Del Galdo

signal direction-of-arrival estimation using an array of sensors has been the subject of intensive research and development during the last two decades. Efforts have been directed to both, better solutions for the general data model and to…

信息论 · 计算机科学 2009-11-13 Farzan Haddadi , Mohammad Mahdi Nayebi , Mohammad Reza Aref

This paper investigates the asymptotic behavior of the deterministic and stochastic Cram\'er-Rao Bounds (CRB) for semi-blind channel estimation in massive multiple-input multiple-output (MIMO) systems. We derive and analyze mathematically…

信号处理 · 电气工程与系统科学 2025-07-15 Xue Zhang , Abla Kammoun , Mohamed-Slim Alouini

The goal of this paper is to characterize the best achievable performance for the problem of estimating an unknown parameter having a sparse representation. Specifically, we consider the setting in which a sparsely representable…

统计理论 · 数学 2009-09-29 Zvika Ben-Haim , Yonina C. Eldar

We extend the traditional framework for estimating subspace bases that maximize the preserved signal energy to additionally preserve the Cram\'er-Rao bound (CRB) of the biophysical parameters and, ultimately, improve accuracy and precision…

医学物理 · 物理学 2025-10-28 Andrew Mao , Sebastian Flassbeck , Cem Gultekin , Jakob Assländer

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…

We present a new proof of the quantum Cramer-Rao bound for precision parameter estimation [1-3] and extend it to a more general class of measurement procedures. We analyze a generalized framework for parameter estimation that covers most…

量子物理 · 物理学 2010-01-28 Garry Goldstein , Mikhail D. Lukin , Paola Cappellaro

This paper presents a distributed estimator for a deterministic parametric physical field sensed by a homogeneous sensor network and develops a new transformed expression for the Cramer-Rao lower bound (CRLB) on the variance of distributed…

信息论 · 计算机科学 2015-06-17 Salvatore Talarico , Natalia A. Schmid , Marwan Alkhweldi , Matthew C. Valenti

Non-data-aided (NDA) parameter estimation is considered for binary-phase-shift-keying transmission in an additive white Gaussian noise channel. Cramer-Rao lower bounds (CRLBs) for signal amplitude, noise variance, channel reliability…

信息论 · 计算机科学 2007-07-13 Fredrik Brannstrom , Lars K. Rasmussen
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