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On the CramerRao bound for TerrainAided Navigation
, 1997
"... This paper is organized as follows. We review and derive the CramerRao bound in the next section. In the last section a brief background to the tarrainaided navigation (TAN) problem is presented and the CramerRao bound for TAN is derived. 2 Theory ..."
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Cited by 4 (2 self)
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This paper is organized as follows. We review and derive the CramerRao bound in the next section. In the last section a brief background to the tarrainaided navigation (TAN) problem is presented and the CramerRao bound for TAN is derived. 2 Theory
Computing Bayesian CramérRao bounds
"... Abstract — An efficient messagepassing algorithm for computing the Bayesian CramérRao bound (BCRB) for general estimation problems is presented. The BCRB is a lower bound on the mean squared estimation error. The algorithm operates on a cyclefree factor graph of the system at hand. It can be appl ..."
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Cited by 4 (0 self)
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Abstract — An efficient messagepassing algorithm for computing the Bayesian CramérRao bound (BCRB) for general estimation problems is presented. The BCRB is a lower bound on the mean squared estimation error. The algorithm operates on a cyclefree factor graph of the system at hand. It can
Cramérrao bounds for synchronization of rotations
 CoRR
"... Synchronization of rotations is the problem of estimating a set of rotations Ri ∈ SO(n), i = 1... N based on noisy measurements of relative rotations RiR ⊤ j. This fundamental problem has found many recent applications, most importantly in structural biology. We provide a framework to study synchron ..."
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Cited by 4 (4 self)
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information, CramérRao bounds, distributions on the rotation group, Langevin. 2000 Math Subject Classification: 62F99, 94C15, 22C05, 05C12, 1
The true CramerRao Bound for Timing . . .
"... This contribution derives the CramerRao bound (CRB) related to the estimation of the time delay of a linearly modulated bandpass signal with unknown carrier phase and frequency. We consider the following two scenarios: (i) joint estimation of the time delay, the carrier phase and the carrier frequ ..."
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This contribution derives the CramerRao bound (CRB) related to the estimation of the time delay of a linearly modulated bandpass signal with unknown carrier phase and frequency. We consider the following two scenarios: (i) joint estimation of the time delay, the carrier phase and the carrier
Accuracy of ScatterometerDerived Winds using the CramerRao Bound
 IEEE Transactions on Geoscience and Remote Sensing
, 1999
"... Accuracy of scatterometerderived winds using the CramerRao bound ..."
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Cited by 8 (6 self)
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Accuracy of scatterometerderived winds using the CramerRao bound
The CramerRao Bound for Poisson Distribution
, 1996
"... The paper studies the Cram'erRao (CR) bound for data obtained in emission tomography (ET). In ET the distribution of the data is the combined probability of independent Poisson distributed variables, the expectation of each being a linear function c T i of the vector of parameters . We inve ..."
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Cited by 1 (0 self)
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The paper studies the Cram'erRao (CR) bound for data obtained in emission tomography (ET). In ET the distribution of the data is the combined probability of independent Poisson distributed variables, the expectation of each being a linear function c T i of the vector of parameters . We
Standard CramerRao bound CramerRao bound with nuisance parameter Bayesian CramerRao bound Other bounds
"... We assume y(n) = a(n)e2ipif0n + b(n), n = 0,...,N − 1 with y(n) : the received signal a(n) : a zeromean random process or a timevarying amplitude. b(n) : circular white Gaussian stationary additive noise. Goal: Estimating the frequency f0 in multiplicative and additive noise ..."
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We assume y(n) = a(n)e2ipif0n + b(n), n = 0,...,N − 1 with y(n) : the received signal a(n) : a zeromean random process or a timevarying amplitude. b(n) : circular white Gaussian stationary additive noise. Goal: Estimating the frequency f0 in multiplicative and additive noise
CramerRao Bound for Range Estimation
 in Proc. IEEE ICASSP
, 2009
"... In this paper, we derive the CramérRao bound (CRB) for range estimation, which does not only exploit the range information in the time delay, but also in the amplitude of the received signal. This new bound is lower than the conventional CRB that only makes use of the range information in the tim ..."
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Cited by 5 (3 self)
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In this paper, we derive the CramérRao bound (CRB) for range estimation, which does not only exploit the range information in the time delay, but also in the amplitude of the received signal. This new bound is lower than the conventional CRB that only makes use of the range information
CramérRao bounds for deterministic modal analysis
 IEEE Trans. Signal Process
, 1993
"... AbstractHow accurately can deterministic modes be identified from a finite record of noisy data? In this paper we answer this question by computing the CramerRao bound on the error covariance matrix of any unbiased estimator of mode parameters. The bound is computed for many of the standard parame ..."
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Cited by 8 (2 self)
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AbstractHow accurately can deterministic modes be identified from a finite record of noisy data? In this paper we answer this question by computing the CramerRao bound on the error covariance matrix of any unbiased estimator of mode parameters. The bound is computed for many of the standard
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