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1. Full Text The trouble with quality filtering based on relative Cramér‐Rao lower bounds
by Kreis, Roland
Magnetic Resonance in Medicine, ISSN 0740-3194, 01/2016, Volume 75, Issue 1, pp. 15 - 18
Cramér Rao Lower Bounds (CRLB) have become the standard for expression of uncertainties in quantitative MR spectroscopy. If properly interpreted as a lower... 
Cramér Rao minimum variance bounds | quality control | quality filtering | errors | MR spectroscopy | SPECTROSCOPY | Cramer Rao minimum variance bounds | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | BRAIN | Data Interpretation, Statistical | Reproducibility of Results | Algorithms | Magnetic Resonance Spectroscopy - methods | Analysis of Variance | Computer Simulation | Sensitivity and Specificity | Signal Processing, Computer-Assisted | Models, Statistical | Spectroscopy | Filtration | Bias | Magnetic resonance | Threshold limits | Spectra | Criteria | Statistics | Magnetic resonance spectroscopy | Lower bounds | Errors | Metabolites | Spectrum analysis | Quality | Resonance | Failure
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2. Full Text Cramér-Rao Bounds for Underdetermined Source Localization
by Koochakzadeh, Ali and Pal, Piya
IEEE Signal Processing Letters, ISSN 1070-9908, 07/2016, Volume 23, Issue 7, pp. 919 - 923
Although Cramér-Rao Bounds (CRB) for direction-of-arrival (DOA) estimation have been extensively studied for decades, existing results are mainly applicable... 
Geometry | direction-of-arrival (DOA) estimation | Direction-of-arrival estimation | Array signal processing | Estimation | nested arrays | Coprime arrays | Cramér–Rao bound (CRB) | Sensor arrays | Antenna arrays | singular Fisher information | DOA estimation | Nested Arrays | Coprime Arrays | Cramer-Rao Bound | Singular Fisher Information | MUSIC | MAXIMUM-LIKELIHOOD | Cramer-Rao bound (CRB) | ENGINEERING, ELECTRICAL & ELECTRONIC
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3. Full Text Coarrays, MUSIC, and the Cramér-Rao Bound
by Mianzhi Wang and Nehorai, Arye
IEEE Transactions on Signal Processing, ISSN 1053-587X, 02/2017, Volume 65, Issue 4, pp. 933 - 946
Sparse linear arrays, such as coprime arrays and nested arrays, have the attractive capability of providing enhanced degrees of freedom. By exploiting the... 
MUSIC | coarray | Array signal processing | Signal processing algorithms | Cramér–Rao bound | Multiple signal classification | sparse linear arrays | Covariance matrices | Sensor arrays | Signal to noise ratio | statistical efficiency | Statistical efficiency | Cramér-Rao bound | ROOT-MUSIC | CO-PRIME ARRAYS | Cramer-Rao bound | DOA ESTIMATION ALGORITHMS | OF-ARRIVAL ESTIMATION | REDUNDANCY LINEAR ARRAYS | ENGINEERING, ELECTRICAL & ELECTRONIC | PERFORMANCE ANALYSIS | SUBSPACE-BASED METHODS
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4. Full Text Bayesian Estimation in the Presence of Deterministic Nuisance Parameters-Part I: Performance Bounds
by Bar, Shahar and Tabrikian, Joseph
IEEE Transactions on Signal Processing, ISSN 1053-587X, 12/2015, Volume 63, Issue 24, pp. 6632 - 6646
How accurately can one estimate a random parameter subject to unknown deterministic nuisance parameters? The hybrid Cramér-Rao bound (HCRB) provides an answer... 
Estimation error | Parameter estimation | Bayesian estimation | mean-square-error (MSE) | Niobium | risk-unbiasedness | Q measurement | Probability density function | hybrid Cramér-Rao bound | Bayes methods | Bayesian Cramér-Rao bound | Lehmann-unbiasedness | performance bounds | nuisance parameters | INFORMATION | LINEAR DYNAMIC-SYSTEMS | UNBIASEDNESS | Bayesian Cramer-Rao bound | MEAN SQUARED ERROR | IDENTIFICATION | mean-square error (MSE) | PREDICTION | ENGINEERING, ELECTRICAL & ELECTRONIC | GENERAL CLASSES | hybrid Cramer-Rao bound | Bayes' theorem | Usage | Distribution (Probability theory) | Research | Analysis
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5. Full Text Conditional Posterior Cramér-Rao Lower Bounds for Nonlinear Sequential Bayesian Estimation
by Long Zuo and Ruixin Niu and Varshney, P K
IEEE Transactions on Signal Processing, ISSN 1053-587X, 01/2011, Volume 59, Issue 1, pp. 1 - 14
The posterior CramérRao lower bound (PCRLB) for sequential Bayesian estimators, which was derived by Tichavsky in 1998, provides a performance bound for a... 
Monte Carlo methods | Bayesian methods | Current measurement | Noise | particle filters | Probability density function | Time measurement | nonlinear filtering | Approximation methods | Kalman filters | posterior Cramér-Rao lower bounds | posterior Cramer-Rao lower bounds | TARGET TRACKING | DEPLOYMENT | ARRAY MANAGEMENT | MULTITARGET TRACKING | ENGINEERING, ELECTRICAL & ELECTRONIC | Bayesian statistical decision theory | Fading channels | Measurement | Technology application | Monte Carlo method | Usage | Frequency modulation | Gaussian processes | Innovations | Signal processing | Methods | Lower bounds | Nonlinear dynamics | Adaptive systems | Computer simulation | Dynamics | Nonlinearity | Bayesian analysis | Dynamical systems
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6. Full Text Semiparametric efficiency bounds for high-dimensional models
by Janková, Jana and Van De Geer, Sara
Annals of Statistics, ISSN 0090-5364, 10/2018, Volume 46, Issue 5, pp. 2336 - 2359
Asymptotic lower bounds for estimation play a fundamental role in assessing the quality of statistical procedures. In this paper, we propose a framework for... 
Graphical models | Sparsity | Linear regression | Lasso | Le Cam's lemma | Asymptotic efficiency | High-dimensional | Cramér-Rao bound | REGRESSION | high-dimensional | CONFIDENCE-INTERVALS | graphical models | linear regression | Cramer-Rao bound | STATISTICS & PROBABILITY | sparsity | SELECTION
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7. Full Text Hybrid Barankin-Weiss-Weinstein Bounds
by Chengfang Ren and Galy, Jerome and Chaumette, Eric and Larzabal, Pascal and Renaux, Alexandre
IEEE Signal Processing Letters, ISSN 1070-9908, 11/2015, Volume 22, Issue 11, pp. 2064 - 2068
This letter investigates hybrid lower bounds on the mean square error in order to predict the so-called threshold effect. A new family of tighter hybrid large... 
Context | threshold SNR | Closed-form solutions | MAPMLE | mean-square-error bounds | Estimation | Mean square error methods | Hybrid bounds | parameter estimation | Bayes methods | Electronic mail | Signal to noise ratio | PARAMETER-ESTIMATION | CRAMER-RAO BOUNDS | BAYESIAN BOUNDS | CARRIER | ENGINEERING, ELECTRICAL & ELECTRONIC | PERFORMANCE LOWER BOUNDS | GENERAL CLASSES | ERROR | Signal and Image Processing | Computer Science
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8. Full Text Cramér-Rao Lower Bounds Comparison for 2D Hybrid-MIMO and MIMO Radar
by La Manna, Marco and Fuhrmann, Daniel R
IEEE Journal of Selected Topics in Signal Processing, ISSN 1932-4553, 03/2017, Volume 11, Issue 2, pp. 404 - 413
The Hybrid MIMO Phased Array Radar (HMPAR) is a multisensor radar architecture that merges the concepts of a traditional phased array radar with the colocated... 
Phased arrays | multiple-input multiple-output (MIMO) radar | Radar cross-sections | Cramer–Rao lower bound | hybrid | MIMO radar | Radar antennas | MIMO | Signal to noise ratio | phased array radar | Cramer-Rao lower bound | VELOCITY ESTIMATION | ENGINEERING, ELECTRICAL & ELECTRONIC | MIMO (control systems) | Lower bounds | Cramer-Rao bounds | Storms | Radar | Waveforms | Tornadoes | Field of view
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9. Full Text Quantized Spectral Compressed Sensing: Cramer-Rao Bounds and Recovery Algorithms
by Fu, Haoyu and Chi, Yuejie
IEEE Transactions on Signal Processing, ISSN 1053-587X, 06/2018, Volume 66, Issue 12, pp. 3268 - 3279
Efficient estimation of wideband spectrum is of great importance for applications such as cognitive radio. Recently, subNyquist sampling schemes based on... 
Atomic measurements | compressed sensing | Line spectrum estimation | Frequency measurement | Noise measurement | atomic norms | Quantization (signal) | Signal processing algorithms | Cramér–Rao bound | multiple measurement vectors | Pollution measurement | Signal to noise ratio | quantization | Cramér-Rao bound | NONLINEAR OBSERVATIONS | Cramer-Rao bound | INVERSE PROBLEMS | SIGNALS | BITS | PROJECTIONS | ENGINEERING, ELECTRICAL & ELECTRONIC
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10. Full Text Network Localization Cramér-Rao Bounds for General Measurement Models
by Alevizos, Panos N and Bletsas, Aggelos
IEEE Communications Letters, ISSN 1089-7798, 09/2016, Volume 20, Issue 9, pp. 1840 - 1843
A closed-form Cramér-Rao bound for general multi-modal measurements is derived for D-dimensional network localization (D ∈ {2, 3}). Links are asymmetric and... 
Antenna measurements | Coordinate measuring machines | Cramer-Rao bounds | Transmitting antennas | Receiving antennas | Europe | Estimation theory | Distance measurement | Noise measurement | FUNDAMENTAL LIMITS | LOCATION ESTIMATION | WIDE-BAND LOCALIZATION | TELECOMMUNICATIONS | SENSOR NETWORKS
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11. Full Text Cramer-Rao Bounds for Filtering Based on Gaussian Process State-Space Models
by Zhao, Yuxin and Fritsche, Carsten and Hendeby, Gustaf and Yin, Feng and Chen, Tianshi and Gunnarsson, Fredrik
IEEE Transactions on Signal Processing, ISSN 1053-587X, 10/2019, Volume 67, Issue 23, pp. 1 - 1
Posterior Cramer-Rao bounds (CRBs) are derived for the estimation performance of three Gaussian process based state-space models. The parametric CRB is derived... 
Atmospheric measurements | Gaussian process | Computational modeling | Estimation | Training data | Gaussian processes | Cramer-Rao bound | statespace model | Particle measurements | State-space methods | nonlinear estimation
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12. Full Text Information-Theoretic Compressive Sensing Kernel Optimization and Bayesian Cramér–Rao Bound for Time Delay Estimation
by Yujie Gu and Goodman, Nathan A
IEEE Transactions on Signal Processing, ISSN 1053-587X, 09/2017, Volume 65, Issue 17, pp. 4525 - 4537
With the adoption of arbitrary and increasingly wideband signals, the design of modern radar systems continues to be limited by analog-to-digital converter... 
Delay effects | Compressive sensing (CS) | Estimation | Gaussian mixture (GM) | time delay estimation | minimum mean-square error (MMSE) | Analog-digital conversion | Radar | sensing kernel optimization | Sensors | Cramér–Rao bound (CRB) | mutual information | Kernel | Compressed sensing | Cramér-Rao bound (CRB) | DESIGN | Cramer-Rao bound (CRB) | REFLECTIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | RECOVERY | ERROR | RANGE
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13. Full Text Estimation Accuracy and Cramér-Rao Lower Bounds for Errors in Multichannel HRWS SAR Systems
by Tingting Jin and Xiaolan Qiu and Donghui Hu and Chibiao Ding
IEEE Geoscience and Remote Sensing Letters, ISSN 1545-598X, 12/2016, Volume 13, Issue 12, pp. 1772 - 1776
Multichannel synthetic aperture radar promises high-resolution and wide-swath imaging simultaneously. Channel error estimation is a critical step in signal... 
error estimation | Error analysis | Azimuth | synthetic aperture radar (SAR) | Cramér–Rao lower bounds (CRLBs) | Estimation | Channel estimation | high resolution and wide swath (HRWS) | Covariance matrices | Clutter | Synthetic aperture radar | Cramér-Rao lower bounds (CRLBs) | CALIBRATION | MAXIMUM-LIKELIHOOD | SENSOR | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | ENGINEERING, ELECTRICAL & ELECTRONIC | GEOCHEMISTRY & GEOPHYSICS | Cramer-Rao lower bounds (CRLBs) | REMOTE SENSING | HIGH-RESOLUTION | GAIN | Approximation | Methodology | Statistics | Remote sensing | Channels | Engineering | Accuracy | Cramer-Rao bounds | Radar | Radar imaging | Signal processing | Deviation
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14. Full Text On Lower Bounds for Nonstandard Deterministic Estimation
by Kbayer, Nabil and Galy, Jerome and Chaumette, Eric and Vincent, Francois and Renaux, Alexandre and Larzabal, Pascal
IEEE Transactions on Signal Processing, ISSN 1053-587X, 03/2017, Volume 65, Issue 6, pp. 1538 - 1553
We consider deterministic parameter estimation and the situation where the probability density function (p.d.f.) parameterized by unknown deterministic... 
Maximum likelihood estimation | Parameter estimation | Closed-form solutions | Probabilistic logic | Electronic mail | estimation error lower bound | Standards | Deterministic parameter estimation | maximum likelihood estimation | PARAMETER-ESTIMATION | RADAR | ALGORITHM | NUISANCE PARAMETERS | SYNCHRONIZERS | WAVE-FORMS | CRAMER-RAO BOUNDS | BARANKIN BOUNDS | ENGINEERING, ELECTRICAL & ELECTRONIC | THRESHOLD REGION PERFORMANCE | ERROR | Usage | Distribution (Probability theory) | Electronic mail systems | Research | Maximum likelihood estimates (Statistics) | Tightness
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15. Full Text New Results on Deterministic Cramér-Rao Bounds for Real and Complex Parameters
by Menni, T and Chaumette, E and Larzabal, P and Barbot, J. P
IEEE Transactions on Signal Processing, ISSN 1053-587X, 03/2012, Volume 60, Issue 3, pp. 1032 - 1049
The Cramér-Rao bounds (CRB) is a lower bound of great interest for system analysis and design in the asymptotic region [high signal-to-noise ratio (SNR)... 
Closed-form solutions | deterministic parameter estimation | Minimization | Cramér-Rao bound (CRB) | Vectors | Linear matrix inequalities | Electronic mail | System analysis and design | Signal to noise ratio | Fisher information matrix | DERIVATION | Cramer-Rao bound (CRB) | PERFORMANCE | SUPERIMPOSED SIGNALS | ENGINEERING, ELECTRICAL & ELECTRONIC | Linear systems | Usage | Mathematical optimization | Simulation methods | Innovations
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16. Full Text Sparsity-based estimation bounds with corrupted measurements
by Boyer, Rémy and Larzabal, Pascal
Signal Processing, ISSN 0165-1684, 02/2018, Volume 143, pp. 86 - 93
In typical Compressed Sensing operational contexts, the measurement vector is often partially corrupted. The estimation of a sparse vector acting on the entire... 
Cramér–Rao Bound | Gaussian measurement matrix | Statistical priors for support sets of random cardinalities | Corrupted measurements | Compressed sensing | REGRESSION | Cramer-Rao Bound | SIGNAL RECOVERY | ESTIMATION PERFORMANCE | DECOMPOSITION | RESTRICTED ISOMETRY PROPERTY | ALGORITHMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Applications | Engineering Sciences | Statistics | Signal and Image processing
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17. Full Text The Constrained Misspecified Cramér-Rao Bound
by Fortunati, Stefano and Gini, Fulvio and Greco, Maria S
IEEE Signal Processing Letters, ISSN 1070-9908, 05/2016, Volume 23, Issue 5, pp. 718 - 721
The aim of this letter is to provide a constrained version of the misspecified Cramér-Rao bound (MCRB). Specifically, the MCRB is a lower bound on the error... 
Jacobian matrices | Direction-of-arrival estimation | Estimation | Probability density function | Misspecified models | Data models | Covariance matrices | Cramér-Rao bound | equality constraints | Cramer-Rao bound | MODEL | misspecified models | ENGINEERING, ELECTRICAL & ELECTRONIC
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18. Full Text Positioning for NLOS Propagation: Algorithm Derivations and Cramer-Rao Bounds
by Honglei Miao and Kegen Yu and Juntti, M.J
IEEE Transactions on Vehicular Technology, ISSN 0018-9545, 09/2007, Volume 56, Issue 5, pp. 2568 - 2580
Mobile positioning has drawn significant attention in recent years. Nonline-of-sight (NLOS) propagation error is the dominant error source in mobile... 
Frequency selective surfaces | Algorithm design and analysis | Error analysis | Cramer-Rao lower bound (CRLB) | Intelligent transportation systems | Global Positioning System | Wireless communication | Land mobile radio cellular systems | Signal processing algorithms | Position measurement | Performance analysis | mobile location | nonline-of-sight (NLOS) propagation | Mobile location | Nonline-of-sight (NLOS) propagation | HIGHWAYS | Cramer-Rao -lower bound (CRLB) | LOCATION SYSTEMS | TELECOMMUNICATIONS | INVARIANCE TECHNIQUES | TIME-DELAY | CELLULAR NETWORKS | ENGINEERING, ELECTRICAL & ELECTRONIC | DELAY ESTIMATION | TRANSPORTATION SCIENCE & TECHNOLOGY | WIRELESS NETWORKS | SMART CARS | Mobile communication systems | Wireless communication systems | Research | Error analysis (Mathematics) | Methods | Studies | Algorithms | Propagation | Location based services | Errors | Cramer-Rao bounds | Computer simulation | Least squares method | Mathematical analysis | Derivation | Estimates
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19. Full Text Time Synchronization of Turbo-Coded Square-QAM-Modulated Transmissions: Code-Aided ML Estimator and Closed-Form Cramér–Rao Lower Bounds
by Bellili, Faouzi and Methenni, Achref and Ben Amor, Souheib and Affes, Sofiene and Stephenne, Alex
IEEE Transactions on Vehicular Technology, ISSN 0018-9545, 12/2017, Volume 66, Issue 12, pp. 10776 - 10792
This paper introduces a new maximum likelihood (ML) solution for the code-aided (CA) timing recovery problem in square-quadrature amplitude modulation (QAM)... 
Maximum likelihood estimation | Quadrature amplitude modulation | quadrature amplitude modulation (QAM) | Turbo codes | parameter estimation | Iterative algorithms | Decoding | Synchronization | Quadrature amplitude modulation (QAM) | Parameter estimation | SNR ESTIMATION | MSK | PERFORMANCE | TELECOMMUNICATIONS | CARRIER | ENGINEERING, ELECTRICAL & ELECTRONIC | turbo codes | SYMBOL-TIMING RECOVERY | PHASE | TRANSPORTATION SCIENCE & TECHNOLOGY | SYSTEMS | BPSK | Statistical analysis | Computer simulation | Exact solutions | Synchronism | Closed form solutions | Statistical methods | Recovery | Constellations | Time lag | Decoders | Lower bounds | Matched filters | Cramer-Rao bounds | Mathematical analysis | Maximum likelihood estimators | Maximum likelihood estimates | Iterative methods | Time synchronization
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20. Full Text The Recursive Form of Error Bounds for RFS State and Observation With P-d < 1
by Tong, HS and Zhang, H and Meng, HD and Wang, XQ
IEEE TRANSACTIONS ON SIGNAL PROCESSING, ISSN 1053-587X, 05/2013, Volume 61, Issue 10, pp. 2632 - 2646
This paper presents recursive performance bounds for dynamic estimation and tracking problems in both single and multiple target cases within the framework of... 
TARGET TRACKING | FILTER | Cramer-Rao bound | CRAMER-RAO BOUNDS | JOINT DETECTION | recursive bound | random finite set | PERFORMANCE EVALUATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Wireless sensor networks | Usage | Finite sets | Distribution (Probability theory) | Recursive functions | Innovations | Simulation | Unity | Finite set statistics | Mathematical analysis | Tracking problem | Transaction processing | Vectors (mathematics) | Recursive
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