Are Cramér‐Rao lower bounds an accurate estimate for standard deviations in in vivo magnetic resonance spectroscopy?
Sign Up to like & getrecommendations! Published in 2021 at "NMR in Biomedicine"
DOI: 10.1002/nbm.4521
Abstract: Due to inherent time constraints for in vivo experiments, it is infeasible to repeat multiple MRS scans to estimate standard deviations on the desired measured parameters. As such, the Cramér‐Rao lower bounds (CRLBs) have become… read more here.
Keywords: cram rao; standard deviations; lower bounds; spectroscopy ... See more keywords
Ultimate precision of joint quadrature parameter estimation with a Gaussian probe
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review A"
DOI: 10.1103/physreva.97.012106
Abstract: The Holevo Cram\'er-Rao bound is a lower bound on the sum of the mean-square error of estimates for parameters of a state. We provide a method for calculating the Holevo Cram\'er-Rao bound for estimation of… read more here.
Keywords: state; estimation; cram rao; rao bound ... See more keywords
Diagnosing Imperfections in Quantum Sensors via Generalized Cramér-Rao Bounds
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review Applied"
DOI: 10.1103/physrevapplied.13.024048
Abstract: Quantum metrology derives its capabilities from the careful employ of quantum resources for carrying out measurements. This advantage, however, relies on refined data postprocessing, assessed based on the variance of the estimated parameter. When Bayesian… read more here.
Keywords: rao bounds; cram rao; diagnosing imperfections; imperfections quantum ... See more keywords
Evaluating the Holevo Cramér-Rao Bound for Multiparameter Quantum Metrology.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.123.200503
Abstract: 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 multiparameter quantum estimation is the Holevo Cramér-Rao… read more here.
Keywords: rao bound; cram rao; multiparameter quantum; metrology ... See more keywords
Stochastic and Deterministic Framework for Modeling the Effect of Antennas Location Error on DOA Estimation
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2019.2961787
Abstract: This article focuses on the estimation of the direction of Arrival based on the interpolation approaches of the sparse array. Such as the minimum redundancy array, co-prime array, and the nested array have attracted much… read more here.
Keywords: effect antennas; locations errors; antennas locations; rao bound ... See more keywords
Cramér–Rao Lower Bound Analysis of Differential Signal Strength Fingerprinting for Crowdsourced IoT Localization
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Internet of Things Journal"
DOI: 10.1109/jiot.2023.3235921
Abstract: Crowdsourcing is considered an efficient and promising paradigm for constructing large-scale signal fingerprint radio maps due to the proliferation of Wi-Fi-enabled devices. However, a crowdsourced indoor positioning system (IPS) has to handle diverse devices and… read more here.
Keywords: localization; lower bound; signal strength; rao lower ... See more keywords
Cramér-Rao Lower Bound for State-Constrained Nonlinear Filtering
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2017.2764540
Abstract: This letter presents a mean-square error lower bound for state estimation of nonlinear stochastic systems under given differentiable state constraints. Its recursive formulation permits incorporation of random process and measurement errors and is shown to… read more here.
Keywords: cram rao; bound state; bound; lower bound ... See more keywords
Intrinsic Cramér–Rao Bounds for Scatter and Shape Matrices Estimation in CES Distributions
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2018.2886700
Abstract: Scatter matrix and its normalized counterpart, referred to as shape matrix, are key parameters in multivariate statistical signal processing, as they generalize the concept of covariance matrix in the widely used Complex Elliptically Symmetric distributions.… read more here.
Keywords: shape matrices; shape; intrinsic cram; cram rao ... See more keywords
Bayesian Periodic Cramér-Rao Bound
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2022.3198335
Abstract: The Cramér-Rao bound (CRB) has been extensively used as a benchmark for estimation performance in both Bayesian and non-Bayesian frameworks. In many practical periodic parameter estimation problems, such as phase, frequency, and direction-of-arrival estimation, the… read more here.
Keywords: estimation; cram rao; cram; rao bound ... See more keywords
Cramér–Rao Lower Bound Optimization for Hidden Moving Target Sensing via Multi-IRS-Aided Radar
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2022.3224681
Abstract: Intelligent reflecting surface (IRS) is a rapidly emerging paradigm to enable non-line-of-sight (NLoS) wireless transmission. In this paper, we focus on IRS-aided radar estimation performance of a moving hidden or NLoS target. Unlike prior works… read more here.
Keywords: lower bound; aided radar; rao lower; irs aided ... See more keywords
An L-Shaped Array With Nonorthogonal Axes—Its Cramér–Rao Bound for Direction Finding
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Aerospace and Electronic Systems"
DOI: 10.1109/taes.2017.2741298
Abstract: If a nominally L-shaped sensor-array's two legs are not exactly perpendicular, its azimuth-polar direction-of-arrival estimation would be degraded. This paper quantifies this degradation via a deterministic Cramér–Rao bound analysis of the direction-finding error variance. read more here.
Keywords: direction finding; direction; cram rao; rao bound ... See more keywords