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Slepian-Bangs formula and Cramér Rao bound for circular and non-circular complex elliptical symmetric distributions
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper is mainly dedicated to an extension of the Slepian-Bangs formula to non-circular complex elliptical symmetric (NC-CES) distributions, which is derived from a new stochastic representation theorem. This formula includes...

SlepianBangs Formula and CramérRao Bound for Circular and Non-Circular Complex Elliptical Symmetric Distributions
2019 Edition, Volume 26, October 1, 2019 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This letter is mainly dedicated to an extension of the Slepian-Bangs formula to non-circular complex elliptical symmetric (NC-CES) distributions, which is derived from a new stochastic representation theorem. This formula...

Semiparametric CRB and Slepian-Bangs formulas for Complex Elliptically Symmetric Distributions
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The main aim of this paper is to extend the semiparametric inference methodology, recently investigated for Real Elliptically Symmetric (RES) distributions, to Complex Elliptically Symmetric (CES) distributions. The generalization to the...

Semiparametric CRB and Slepian-Bangs Formulas for Complex Elliptically Symmetric Distributions
2019 Edition, Volume 67, October 15, 2019 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The main aim of this paper is to extend the semiparametric inference methodology, recently investigated for Real Elliptically Symmetric (RES) distributions, to Complex Elliptically Symmetric (CES) distributions. The generalization to the...

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 limits,...

Stochastic Cramer-Rao bound of DOA estimates for non-circular Gaussian signals
2004 Edition, Volume 2, January 1, 2004 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper focuses on the stochastic Cramer-Rao bound (CRB) on direction of arrival (DOA) estimation accuracy for non-circular Gaussian sources. We derive an explicit expression of the CRB for DOA parameters alone in the case of...

Stochastic Cramer-Rao bound for direction estimation of non-circular signals in unknown noise fields
2005 Edition, Volume 4, January 1, 2005 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper gives explicit closed-form expressions of the stochastic Cramer-Rao bound (CRB) on direction of arrival (DOA) estimation accuracy for non-circular Gaussian sources in the case of an arbitrary unknown noise field parameterized by a vector of...

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 concluded...

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 cannot be...

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 signals...

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