Cramér-Rao Lower Bound of Target Localization Method Based on TOA Measurements
The Cramér-Rao bound of target localization method based on time-of-arrival measurements is analyzed. For the localization error analysis, the CRLB is derived under the assumptions that the measurement errors are independent and characterized by zero ...
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The Cramér-Rao approach and global quantum estimation of bosonic states [PDF]
Quantum state estimation is a fundamental task in quantum information theory, where one estimates real parameters continuously embedded in a family of quantum states.
Masahito Hayashi, Yingkai Ouyang
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Imaging arbitrary incoherent source distributions with near quantum-limited resolution
We demonstrate an approach to obtaining near quantum-limited far-field imaging resolution of incoherent sources with arbitrary distributions. Our method assumes no prior knowledge of the source distribution, but rather uses an adaptive approach to ...
Erik F. Matlin, Lucas J. Zipp
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Entanglement-enhanced estimation of a parameter embedded in multiple phases
Quantum-enhanced sensing promises to improve the performance of sensing tasks using nonclassical probes and measurements that require far fewer scene-modulated photons than the best classical schemes, thereby granting previously inaccessible information ...
Michael R. Grace +2 more
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Dissipative adiabatic measurements: Beating the quantum Cramér-Rao bound
It is challenged only recently that the precision attainable in any measurement of a physical parameter is fundamentally limited by the quantum Cramér-Rao Bound (QCRB).
Da-Jian Zhang, Jiangbin Gong
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Simultaneous orientation and 3D localization microscopy with a Vortex point spread function
Molecular orientation is often ignored during single-molecule localisation microscopy. Here, the authors use a Vortex point spread function in order to simultaneously estimate the 3D position, dipole orientation and degree of rotational constraint ...
Christiaan N. Hulleman +5 more
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СRAMER-RAO AND BHATTACHARYYA BOUNDS FOR ACCURACY ESTIMATION OF SUB-PIXEL IMAGE CO-REGISTRATION
The subject matter of the article is theoretical lower bounds of parameter estimates applied to the problem of image co-registration. The goal is to study and compare the Cramer-Rao and Bhattacharyya bounds.
Виталий Анатольевич Душепа
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Thinned Virtual Array for Cramer Rao Bound Optimization in MIMO Radar
By transmitting multiple independent waveforms at the transmit side and processing echoes of spatial targets at the receive side, Multiple Input Multiple Output (MIMO) radar enjoys virtual array aperture expansion and more degree of freedom (DOF), both ...
Xia Li, Buhong Wang
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Cramer-Rao bounds for blind multichannel estimation [PDF]
Certain blind channel estimation techniques allow the identification of the channel up to a scale or phase factor. This results in singularity of the Fisher information matrix (FIM). The Cramer-Rao bound, which is the inverse of the FIM, is then not defined. To regularize the estimation problem, one can impose constraints on the parameters. In general,
Elisabeth de Carvalho +2 more
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Recursive algorithms for computing the Cramer-Rao bound [PDF]
Computation of the Cramer-Rao bound (CRB) on estimator variance requires the inverse or the pseudo-inverse Fisher information matrix (FIM). Direct matrix inversion can be computationally intractable when the number of unknown parameters is large.
Hero, A. O. +3 more
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