Cramér-rao bounds for compound-Gaussian clutter and target parameters

Jian Wang; Aleksandar Dogandžić; Arye Nehorai

doi:10.1109/ICASSP.2005.1416205

Cramér-rao bounds for compound-Gaussian clutter and target parameters

Jian Wang, Aleksandar Dogandžić, Arye Nehorai

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

9 Scopus citations

Abstract

We compute Cramér-Rao bounds (CRBs) for the target and compound-Gaussian clutter parameters using radar array measurements. In particular, we compute CRBs for (i) complex target amplitudes, (ii) spatial covariance matrix of the speckle component, and (iii) texture distribution parameters. We first derive general CRB expressions under an arbitrary texture model and simplify them for gamma and inverse gamma texture distributions. We use the generalized Gauss-Laguerre quadrature to compute the CRBs for gamma texture whereas the CRBs for inverse-gamma texture do not require numerical integration. We use numerical simulations to validate our results.

Original language	English
Title of host publication	2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1101-1104
Number of pages	4
ISBN (Print)	0780388747, 9780780388741
DOIs	https://doi.org/10.1109/ICASSP.2005.1416205
State	Published - 2005
Event	2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05 - Philadelphia, PA, United States Duration: Mar 18 2005 → Mar 23 2005

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	IV
ISSN (Print)	1520-6149

Conference

Conference	2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05
Country/Territory	United States
City	Philadelphia, PA
Period	03/18/05 → 03/23/05

Access to Document

10.1109/ICASSP.2005.1416205

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Wang, J., Dogandžić, A., & Nehorai, A. (2005). Cramér-rao bounds for compound-Gaussian clutter and target parameters. In 2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions (pp. 1101-1104). Article 1416205 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. IV). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2005.1416205

Wang, Jian ; Dogandžić, Aleksandar ; Nehorai, Arye. / Cramér-rao bounds for compound-Gaussian clutter and target parameters. 2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions. Institute of Electrical and Electronics Engineers Inc., 2005. pp. 1101-1104 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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title = "Cram{\'e}r-rao bounds for compound-Gaussian clutter and target parameters",

abstract = "We compute Cram{\'e}r-Rao bounds (CRBs) for the target and compound-Gaussian clutter parameters using radar array measurements. In particular, we compute CRBs for (i) complex target amplitudes, (ii) spatial covariance matrix of the speckle component, and (iii) texture distribution parameters. We first derive general CRB expressions under an arbitrary texture model and simplify them for gamma and inverse gamma texture distributions. We use the generalized Gauss-Laguerre quadrature to compute the CRBs for gamma texture whereas the CRBs for inverse-gamma texture do not require numerical integration. We use numerical simulations to validate our results.",

author = "Jian Wang and Aleksandar Dogand{\v z}i{\'c} and Arye Nehorai",

year = "2005",

doi = "10.1109/ICASSP.2005.1416205",

language = "English",

isbn = "0780388747",

series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "1101--1104",

booktitle = "2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions",

note = "2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05 ; Conference date: 18-03-2005 Through 23-03-2005",

}

Wang, J, Dogandžić, A & Nehorai, A 2005, Cramér-rao bounds for compound-Gaussian clutter and target parameters. in 2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions., 1416205, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. IV, Institute of Electrical and Electronics Engineers Inc., pp. 1101-1104, 2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05, Philadelphia, PA, United States, 03/18/05. https://doi.org/10.1109/ICASSP.2005.1416205

Cramér-rao bounds for compound-Gaussian clutter and target parameters. / Wang, Jian; Dogandžić, Aleksandar; Nehorai, Arye.
2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions. Institute of Electrical and Electronics Engineers Inc., 2005. p. 1101-1104 1416205 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. IV).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Wang, Jian

AU - Dogandžić, Aleksandar

AU - Nehorai, Arye

PY - 2005

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N2 - We compute Cramér-Rao bounds (CRBs) for the target and compound-Gaussian clutter parameters using radar array measurements. In particular, we compute CRBs for (i) complex target amplitudes, (ii) spatial covariance matrix of the speckle component, and (iii) texture distribution parameters. We first derive general CRB expressions under an arbitrary texture model and simplify them for gamma and inverse gamma texture distributions. We use the generalized Gauss-Laguerre quadrature to compute the CRBs for gamma texture whereas the CRBs for inverse-gamma texture do not require numerical integration. We use numerical simulations to validate our results.

AB - We compute Cramér-Rao bounds (CRBs) for the target and compound-Gaussian clutter parameters using radar array measurements. In particular, we compute CRBs for (i) complex target amplitudes, (ii) spatial covariance matrix of the speckle component, and (iii) texture distribution parameters. We first derive general CRB expressions under an arbitrary texture model and simplify them for gamma and inverse gamma texture distributions. We use the generalized Gauss-Laguerre quadrature to compute the CRBs for gamma texture whereas the CRBs for inverse-gamma texture do not require numerical integration. We use numerical simulations to validate our results.

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U2 - 10.1109/ICASSP.2005.1416205

DO - 10.1109/ICASSP.2005.1416205

M3 - Conference contribution

AN - SCOPUS:33646778523

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SN - 9780780388741

T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

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EP - 1104

BT - 2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05

Y2 - 18 March 2005 through 23 March 2005

ER -

Wang J, Dogandžić A, Nehorai A. Cramér-rao bounds for compound-Gaussian clutter and target parameters. In 2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions. Institute of Electrical and Electronics Engineers Inc. 2005. p. 1101-1104. 1416205. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2005.1416205

Cramér-rao bounds for compound-Gaussian clutter and target parameters

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