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Dimensional functional differential convergence for Cramer-Rao lower bound
Journal of Difference Equations and Applications, 2016Channel estimations are essential to signals received. But suffering from serious channel interferences, Cramer–Rao lower Bound (CRLB) for channel estimations is avalanche and broken symmetrized, which are caused by multi-dimensional parameters heterogeneous superposition. This paper proposes dimensional functional differential convergence for CRLB.
WenLiang Lin, ZhongLiang Deng
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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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Cramer-Rao Lower Bound of Variance in Randomized Response Sampling
Sociological Methods & Research, 2011In this note, the Cramer-Rao lower bound of variance by using the two decks of cards in randomized response sampling has been developed. The lower bound of variance has been compared with the recent estimator proposed by Odumade and Singh at equal protection of respondents.
Sarjinder Singh, Stephen A. Sedory
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A new Cramer-Rao lower bound for TOA-based localization
MILCOM 2008 - 2008 IEEE Military Communications Conference, 2008In this paper, we derive the Cramer-Rao lower bound (CRLB) for the 2-dimensional (2D) time-of-arrival (TOA) based localization. Unlike previous work on the CRLB, we consider a more practical propagation channel and relate it to inter-node range estimate through a distance-dependent variance model.
null Tao Jia, R. Michael Buehrer
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Cramer-Rao Lower Bound for Performance Analysis of Leak Detection
Journal of Hydraulic Engineering, 2019AbstractDue to random noise in real measurements, leak detection (estimation of leak size and location) is subject to a degree of uncertainty.
Alireza Keramat +3 more
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The asymptotic Cramer-Rao lower bound for blind signal separation
Proceedings of 8th Workshop on Statistical Signal and Array Processing, 2002This paper considers some aspects of the source separation problem. Unmeasurable source signals are assumed to be mixed by means of a channel system resulting in measurable output signals. These output signals can be used to determine a separation structure in order to extract the sources.
H. Sahlin, U. Lindgren
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Achieving Cramer–Rao Lower Bounds in Sensor Network Estimation
IEEE Sensors Letters, 2018Achievable bounds for parametric estimation using sensor networks are known for some specific problems. In this article, achievable bounds for the general parametric estimation problem with fixed and varying parameters in the network and for various noise conditions on sensor nodes are studied.
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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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Cramer-Rao lower bounds for sonar broad-band modulation parameters
IEEE Journal of Oceanic Engineering, 1999A role of passive sonar signal processing is the detection and estimation of the parameters associated with amplitude modulated broad-band signals. An example of such signals is propeller noise. Discrete frequency lines occur at the rotational frequency of the propulsion shaft and at the blade frequency. This correspondence provides expressions for the
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The Hybrid Cramer-Rao Lower Bound - From Practice to Theory
Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006., 2006In 1987, Rockah and Schultheiss (1987) introduced the hybrid Cramer-Rao lower bound (HCRLB ) as an extension of the classical Cramer-Rao bound (CRLB). Whereas the classical CRLB is applicable to the estimation of non-random parameters, and the Bayesian CRLB applies to random parameters, the HCRLB is applicable to the joint estimation of random and non ...
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