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Cramér-Rao bound for time reversal active array direction of arrival estimators in multipath environments
2010 Edition, March 1, 2010 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In this paper, we study the Cramér-Rao bound (CRB) for time reversal (TR) based direction of arrival (DOA) estimators operating in a rich multipath environment. Our setup is based on an array...

Concentrated Cramer-Rao bound expressions
1994 Edition, Volume 40, March 1, 1994 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We present a method to simplify the analytical computation of the Cramer-Rao bound. The method circumvents bound calculations for so-called nuisance parameters. Under mild regularity conditions the technique, which replaces expectations with almost sure...

Posterior CramérRao Bound for Anchorless Tracking
2013 Edition, Volume 20, December 1, 2013 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We derive the posterior Cramer-Rao bound (PCRB) for tracking in anchorless dynamic networks consisting of static nodes at unknown locations and mobile nodes. We show that this is a type of PCRB under parametric constraints where the parameter space...

Cramer-Rao bound of laser Doppler anemometer
2001 Edition, Volume 50, December 1, 2001 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Derives the Cramer-Rao bound (CRB) for the frequency estimation from noisy signals of laser Doppler anemometer (LDA) measurement. The obtained result is different from the CRB for harmonic signals, which is widely used by most LDA engineers today. It is...

Cramér-Rao Bound Under Norm Constraint
2019 Edition, Volume 26, September 1, 2019 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The constrained Cramér-Rao bound (CCRB) is a benchmark for constrained parameter estimation. However, the CCRB unbiasedness conditions are too strict and thus, the CCRB may not be a lower bound for estimators under constraints. The recently developed...

Cramer-Rao Bound for Constrained Parameter Estimation Using Lehmann-Unbiasedness
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The constrained Cramer-Rao bound (CCRB) is a lower bound on the mean-squared-error (MSE) of estimators that satisfy some unbiasedness conditions. Although the CCRB unbiasedness conditions are satisfied asymptotically by the constrained maximum likelihood...

Hybrid Cramér-Rao bound for moving array
2008 Edition, October 1, 2008 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Using the Cramer-Rao bound (CRB) as an indicator of potential performance, in this work we study a moving array's ability to estimate parameters of a narrow-band signal. Specifically, the hybrid CRB on source frequency and bearing are studied for...

Selective Cramér-Rao Bound For Estimation After Model Selection
2018 Edition, June 1, 2018 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In many practical parameter estimation problems, such as direction-of-arrival (DOA) estimation, model selection is done prior to estimation. The data-based model selection step affects the subsequent estimation, which may results in a biased estimation and an...

Cramér-Rao bound for range estimation
2009 Edition, April 1, 2009 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In this paper, we derive the Cramér-Rao 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...

MUSIC, maximum likelihood, and Cramer-Rao bound
1989 Edition, Volume 37, May 1, 1989 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The performance of the MUSIC and ML methods is studied, and their statistical efficiency is analyzed. The Cramer-Rao bound (CRB) for the estimation problems is derived, and some useful properties of the CRB covariance matrix are established. The...

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