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On the application of Cramer-Rao type lower bounds for constrained estimation
[Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing, 1991Using limiting forms of the Chapman-Robbins (1951) version of the Barankin bound, a study is made of the effect of parameter constraints on local lower bounds on estimator covariance. One such limiting form is the Cramer-Rao bound, for which constraints are seen to induce an oblique projection of the columns of the inverse Fisher information matrix ...
John D. Gorman, Alfred O. Hero III
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Cramer Rao lower bound for two-dimensional elastotography
The Journal of the Acoustical Society of America, 2017In this study, we present a theoretical framework for characterizing the performance of two-dimensional displacement and strain estimators. Specifically, we derived the Cramer-Rao lower bound for axial and lateral displacements estimated from radio frequency echo data.
Prashant Verma, Marvin M. Doyley
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Cramer-Rao Lower Bound On Wavefront Sensor Error
SPIE Proceedings, 1986Wavefront sensors that can operate at low light levels, be built from present technology components, and provide accurate wavefront phase estimates in real time are required for use with adaptive optics systems. The use of estimation theory makes possible the evaluation of wavefront sensors without specification of the wavefront phase estimation ...
Jack Cederquist +4 more
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Cramer-Rao lower bounds for multi-sensor localization
Proceedings of OCEANS '93, 2002The Cramer-Rao lower bound is used to assess the potential localization accuracy of multiple arrays observing a narrowband moving target. The narrowband signal received by the array is assumed to have only partial temporal coherence, which is modelled by taking the signal to be completely coherent over a data block but with an unknown absolute phase ...
J.A. Fawcett, B.H. Maranda
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The Cramer-Rao Lower Bound in the Phase Retrieval Problem
2019 13th International conference on Sampling Theory and Applications (SampTA), 2019This paper presents an analysis of Cramer-Rao lower bounds (CRLB) in the phase retrieval problem. Previous papers derived Fisher Information Matrices for the phaseless reconstruction setup. Two estimation setups are presented. In the first setup the global phase of the unknown signal is determined by a correlation condition with a fixed reference ...
Radu Balan, David Bekkerman
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A generalized Cramer–Rao lower bound for line arrays
The Journal of the Acoustical Society of America, 2004The Cramer–Rao lower bound (CRLB) on the variance of an estimate is a consequence of the underlying likelihood function. That is to say, the more realistic the likelihood function, the more realistic the bound. It is shown here that by including the forward motion of a line array in the likelihood function for the bearing of a continuous broadband ...
E. J. Sullivan, G. S. Edelson
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GNSS-R altimeter performance: Analysis of Cramer-Rao lower bounds
2012 Workshop on Reflectometry Using GNSS and Other Signals of Opportunity (GNSS+R), 2012Earth-reflected Global Navigation Satellite Systemsignals have become an attractive tool for remote sensing, being proposed as a means to perform ocean altimetry, among many other applications. The technique exploiting navigation signals is widely known as GNSS-R.
D'Addio, Salvatore +4 more
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Cramer-Rao lower bounds for low-rank decomposition of multidimensional arrays
IEEE Transactions on Signal Processing, 2001Unlike low-rank matrix decomposition, which is generically nonunique for rank greater than one, low-rank three-and higher dimensional array decomposition is unique, provided that the array rank is lower than a certain bound, and the correct number of components (equal to array rank) is sought in the decomposition.
Xiangqian Liu, Nikos D. Sidiropoulos
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Approximations to the Cramer–Rao lower bound for a single damped exponential signal
Signal Processing, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Estimation of parameters of a laser Doppler velocimeter and their Cramer–Rao lower bounds
Applied Optics, 2011Considering the influence of acceleration and the Gaussian envelope for a laser Doppler velocimeter (LDV), parameter estimation of a Doppler signal with a Gaussian envelope was investigated based on introducing acceleration. According to the theory of mathematics statistics, the Cramer-Rao lower bounds (CRLBs) of Doppler circular frequency and its ...
Jian, Zhou, Xingwu, Long
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