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The Cram\'er-Rao bound serves as a crucial lower limit for the mean squared error of an estimator in frequentist parameter estimation. Paradoxically, it requires highly accurate prior knowledge of the estimated parameter for constructing…

量子物理 · 物理学 2025-04-21 Javier Navarro , Ricard Ravell Rodríguez , Mikel Sanz

Quantum effects like entanglement and coherent amplification can be used to drastically enhance the accuracy of quantum parameter estimation beyond classical limits. However, challenges such as decoherence and time-dependent errors hinder…

量子物理 · 物理学 2025-02-18 Yulong Dong , Jonathan A. Gross , Murphy Yuezhen Niu

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 proposes block-level precoder (BLP) designs for a multi-input single-output (MISO) system that performs joint sensing and communication across multiple cells and users. The Cramer-Rao-Bound for estimating a target's azimuth angle…

信息论 · 计算机科学 2024-02-29 Nithin Babu , Christos Masouros

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

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…

信号处理 · 电气工程与系统科学 2026-02-17 Haofan Dong , Ozgur B. Akan

The widely used quantum Cramer-Rao bound (QCRB) sets a lower bound for the mean square error of unbiased estimators in quantum parameter estimation, however, in general QCRB is only tight in the asymptotical limit. With a limited number of…

量子物理 · 物理学 2016-09-07 Jing Liu , Haidong Yuan

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

Massive multiple-input multiple-output (MIMO) promises significantly higher performance relative to conventional multiuser systems. However, the promised gains of massive MIMO systems rely heavily on the accuracy of the absolute front-end…

信息论 · 计算机科学 2020-02-26 Guoda Tian , Harsh Tataria , Fredrik Tufvesson

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

In this paper, we investigate the fundamental limits of MIMO-OFDM integrated sensing and communications (ISAC) systems based on a Bayesian Cram\'er-Rao bound (BCRB) analysis. We derive the BCRB for joint channel parameter estimation and…

信息论 · 计算机科学 2023-08-24 Xinyang Li , Vlad Costin Andrei , Ullrich J Mönich , Holger Boche

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

Hybrid radar fusion (HRF), which combines monostatic and bistatic sensing in a common spectrum, offers enhanced spatial diversity, but is particularly vulnerable to quantization error effects due to the large power imbalance between the…

信号处理 · 电气工程与系统科学 2026-01-30 Akhileswar Chowdary , Ahmad Bazzi , Vaibhav Kumar , Roberto Bomfin , Marwa Chafii

We show that the quantum Cram\'er-Rao bound on the precision of measurements of the optical phase gradient, or the wavefront tilt, with a beam of finite width is consistent with the Heisenberg uncertainty principle for a single-photon…

量子物理 · 物理学 2020-07-22 Walker Larson , Bahaa E. A. Saleh

This paper investigates a movable antenna (MA)-assisted multiuser integrated sensing and communication (ISAC) system, where the base station (BS) and communication users are all equipped with MA for improving both the sensing and…

信号处理 · 电气工程与系统科学 2024-07-17 Haoran Qin , Wen Chen , Qingqing Wu , Ziheng Zhang , Zhendong Li , Nan Cheng

Modern mobile communication receivers are often implemented with a direct-conversion architecture, which features a number of advantages over competing designs. A notable limitation of direct-conversion architectures, however, is their…

信号处理 · 电气工程与系统科学 2026-03-17 Moritz Tockner , Oliver Lang , Andreas Meingassner-Lang , Mario Huemer

This paper studies the optimal state estimation for a dynamic system, whose transfer function can be nonlinear and the input noise can be of arbitrary distribution. Our algorithm differs from the conventional extended Kalman filter (EKF)…

信号处理 · 电气工程与系统科学 2022-04-22 Xin Liang , Yi Jiang

We describe a compact and reliable method to calculate the Fisher information for the estimation of a dynamical parameter in a continuously measured linear Gaussian quantum system. Unlike previous methods in the literature, which involve…

量子物理 · 物理学 2017-06-08 Marco G. Genoni

A proposed phase-estimation protocol based on measuring the parity of a two-mode squeezed-vacuum state at the output of a Mach-Zehnder interferometer shows that the Cram\'{e}r-Rao sensitivity is sub-Heisenberg [Phys.\ Rev.\ Lett.\ {\bf104},…

量子物理 · 物理学 2017-05-17 Zixin Huang , Keith R. Motes , Petr M. Anisimov , Jonathan P. Dowling , Dominic W. Berry

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