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Optimization of Antenna Array Deployment for Partial Discharge Localization in Substations by Hybrid Particle Swarm Optimization and Genetic Algorithm Method
2018
Energies
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The Cramér-Rao lower bound (CRLB) was employed to evaluate the localization accuracy of different arrays, and two objective functions characterizing the estimation errors of coordinates and the DOA are ...
Passive localization is also a continuous theme of other research fields, such as radar, sonar, and wireless communication, and the Cramér-Rao lower bound (CRLB) is usually employed to characterize the ...
Figure 7 . 7 Optimization results for rectangular constraint areas with different numbers of antennas:(a) array deployment; (b) Cramér-Rao lower bound (CRLB) curve. ...
doi:10.3390/en11071813
fatcat:w5wesnlhtrcnzlkvobexhlpeuq
Cramer–Rao Bounds for Hybrid TOA/DOA-Based Location Estimation in Sensor Networks
2009
IEEE Signal Processing Letters
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This letter derives the Cramer-Rao Bound (CRB) for source location estimation using joint time-/direction-of-arrival (TOA/DOA) measurements collected in a wireless sensor network setup. ...
Index Terms-Cramer-Rao Bound (CRB), data fusion, DOA, positioning, TOA, wireless sensor networks. ...
CRB OF HYBRID TOA/DOA ESTIMATION Consider a far-field target source that transmits planewave and a sensor that is equipped with an -element uniform linear array for reception. ...
doi:10.1109/lsp.2009.2021323
fatcat:xzzlz4hbbnfrrf3vqusd5oghbu
Cramér–Rao sensitivity limits for astronomical instruments: implications for interferometer design
2003
Optical Society of America. Journal A: Optics, Image Science, and Vision
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Numerical calculations of the Cramér-Rao limit are carried out for a simple example, and the results are used to support the argument that interferometers that have more compact instantaneous beam patterns ...
The fundamentals that govern the sensitivity of directdetection instruments and interferometers are reviewed, and the rigorous sensitivity limits imposed by the Cramér-Rao theorem are discussed. ...
This curve lies near the Cramér-Rao lower bound for the six-element array and below the bound for the three-element array. Fig. 8 . ...
doi:10.1364/josaa.20.000218
pmid:12570288
fatcat:64ew3o6qrra6fk23i6udxxhs5a
A constrained hybrid Cramér-Rao bound for parameter estimation
2015
2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
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Numerous works have shown the versatility of deterministic constrained Cramér-Rao bound for estimation performance analysis and design of a system of measurement. ...
In this communication, we propose a constrained hybrid lower bound which take into account of equality constraint on deterministic parameters. ...
Signal processing community generally use the Hybrid Cramér-Rao Bound (HCRB) [1] for which some asymptotic achievability results [2] are known. ...
doi:10.1109/icassp.2015.7178616
dblp:conf/icassp/RenKGCLR15
fatcat:kmcydolzljhzlfj3kaggxak5uu
Angle-of-Arrival Estimation of Narrow Gaussian Beams for Mobile FSO Platforms
[article]
2023
arXiv
pre-print
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The derived Cramer-Rao bounds indicate that the system performance can be enhanced significantly for narrow Gaussian beams when both the spot location and energy are exploited for angle-of-arrival estimation ...
In most optical receivers today, fine tracking of angle-of-arrival involves estimating the location of the focused beam spot projected onto a focal plane array. ...
Cramér-Rao lower bound comparison for different number of detectors M in the array. ...
arXiv:2307.16002v1
fatcat:646hs45dwvdcrnigep2kue5h5e
Wireless Location Technologies and Applications
2006
EURASIP Journal on Advances in Signal Processing
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also based on the corresponding Cramér-Rao lower bound (CRB). ...
The next paper "Cramér-Rao type bounds for localization" by Cheng Chang and Anant Sahai studies the localization problem in sensor networks, which is also based on the fundamental CRB for noisy range measurements ...
also based on the corresponding Cramér-Rao lower bound (CRB). ...
doi:10.1155/asp/2006/34659
fatcat:sergv6kvfngcjpaeuuqan7r6wy
Seismic Velocity and Polarization Estimation for Wavefield Separation
2008
IEEE Transactions on Signal Processing
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Index Terms-Array signal processing, Cramér-Rao bound, velocity/polarization estimation, vector-sensor calibration errors, vector-sensor broadband beamforming. ...
We present a parametric model for multiple wideband polarized signals received by an array of three-component sensors with positional and rotational calibration errors, and derive the Cramér-Rao lower ...
CRAMÉR-RAO BOUNDS The Cramér-Rao bound (CRB) provides a lower bound on the variance of any unbiased estimator [28] , thus allowing for a benchmark against which we can compare the performance of an estimator ...
doi:10.1109/tsp.2008.927459
fatcat:dgdlwdvdozed7npsiter7lz6ei
Quasi-Fluid-Mechanics-Based Quasi-Bayesian CramÉr–Rao Bounds for Deformed Towed-Array Direction Finding
2004
IEEE Transactions on Signal Processing
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New quasi-Bayesian (hybrid) Cramér-Rao bound (CRB) expressions are herein derived for far-field deep-sea direction-of-arrival (DOA) estimation with a nominally linear towed-array that 1) is deformed by ...
The new hybrid-CRB expressions herein derived are numerically more stable than those in the current literature. ...
Lower bounds of the deformed towed-array's DOA-estimation variance can then be obtained along with the general expressions for the quasi-Bayesian Cramér-Rao lower bound, which is derived in [29] . ...
doi:10.1109/tsp.2003.820072
fatcat:vgxdo3kbdfazvoneoedifxwfm4
Quantum Fisher information perspective on sensing in anti-PT symmetric systems
2022
Physical Review Research
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Using the framework of quantum Fisher information and the long-time solution to the full master equation, we analytically compute the Cramér-Rao bound for the system properties such as the detunings and ...
Given the primacy of sensing in non-Hermitian systems, in general, and the immense topicality of anti-PT symmetry, we investigate the statistical bound to the measurement sensitivity for any arbitrary ...
ACKNOWLEDGMENTS We are grateful for the support of Air Force Office of Scientific Research (Award No. FA-9550-20-1-0366) and the Robert A. Welch Foundation (A-1943-20210327). ...
doi:10.1103/physrevresearch.4.013131
fatcat:ckwfmojwnre77ev3emlqb2dxsi
Hybrid FM-polynomial phase signal modeling: parameter estimation and Cramer-Rao bounds
1999
IEEE Transactions on Signal Processing
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The accuracy achievable by any unbiased estimator of the hybrid FM-PPS parameters is investigated by means of the Cramér-Rao lower bounds (CRLB's). ...
Parameter estimation for a class of nonstationary signal models is addressed. ...
Farina for bringing our attention to [7] , for kindly providing [15] , and for useful comments; and thanks to Dr. O. Besson for useful comments in a private correspondence. ...
doi:10.1109/78.740122
fatcat:4e7ph74vuzdl3jmqqoiywfg2hy
Quantum Fisher Information Perspective on Sensing in Anti-PT Symmetric Systems
[article]
2021
arXiv
pre-print
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Using the framework of quantum Fisher information and the long-time solution to the full master equation, we analytically compute the Cramer-Rao bound for the system properties like the detunings and the ...
Given the primacy of sensing in non-Hermitian systems, in general, and the immense topicality of anti-PT symmetry, we investigate the statistical bound to the measurement sensitivity for any arbitrary ...
FIG. 1 . 1 The Cramér-Rao bounds for measurement uncertainties as γ → Γ, scaled in units of Γ: (a) δs for the sensing of detuning mismatch s for different values of ξ; (b) δg for the sensing of the dispersive ...
arXiv:2110.07805v1
fatcat:2p6dun6om5c5dkb7uzt555kfui
Efficient and Accurate Frequency Estimator under Low SNR by Phase Unwrapping
2019
Mathematical Problems in Engineering
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Different from other methods, based on fast Fourier transform, the sampled signals are estimated with the variances approaching the Cramer-Rao bound, followed with the maximum likelihood estimation of ...
In the case of low signal-to-noise ratio, for the frequency estimation of single-frequency sinusoidal signals with additive white Gaussian noise, the phase unwrapping estimator usually performs poorly. ...
When the SNR is lower than the threshold, the mean square error (MSE) of the estimated frequency no longer converges to the Cramer-Rao bound (CRB) [7] . ...
doi:10.1155/2019/7396074
fatcat:jkxhfmejlnc5rg5d7dksoz5wsy
Optimal design of on‐scalp electromagnetic sensor arrays for brain source localisation
2021
Human Brain Mapping
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The methodology is based on the Cramér-Rao bound, which provides lower error bounds on the estimation of source parameters regardless of the algorithm used. ...
We utilise this framework to compare whole head OPM arrays with commercially available electro/magnetoencephalography (E/MEG) systems for localising brain signal generators. ...
In this article, we investigate the advantages of OPM-MEG systems by means of the Cramér-Rao bound (CRB). ...
doi:10.1002/hbm.25586
pmid:34245061
pmcid:PMC8449117
fatcat:cg5ufdroovgt3puqywknx35ogm
SAGE and Maximum Entropy Algorithmic Comparison for adaptive antenna array calibration
2010
2010 IEEE International Symposium on Phased Array Systems and Technology
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Adaptive antenna arrays, also known as smart antennae, are becoming progressively a viable alternative to larger antenna structures in a wide number of different scenarios. ...
However, in order to take full advantage of the arrays' interference rejection and SNR (Signal-to-Noise Ratio) improvement capabilities, that is, in order to perform a correct signal beamforming via complex ...
Finally, a brief appendix explores some CRLB (Cramér-Rao Lower Bound) considerations.
THE CALIBRATION PROBLEM Firstly, the array signal model is presented. ...
doi:10.1109/array.2010.5613329
fatcat:mkrk5oblnjgytlrgeguu6wxxe4
Performance estimation for tensor CP decomposition with structured factors
2015
2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
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A closed-form expression of the Cramér-Rao bound (CRB) is derived, related to the problem of estimating CPD parameters, when the observed tensor is corrupted with an additive circular i.i.d. ...
This CRB is provided for arbitrary tensor rank and sizes. ...
The CPD Cramér-Rao bound has been derived for unstructured factor matrices [21] , and for specific applications in antenna array processing [22] . ...
doi:10.1109/icassp.2015.7178618
dblp:conf/icassp/BoizardBFCC15
fatcat:nfndcqmosrgsllekbw35rpyqvi
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