Semiparametric stochastic CRB for DOA estimation in elliptical data model

Stefano Fortunati; Fulvio Gini; Maria S. Greco

doi:10.23919/EUSIPCO.2019.8903108

Semiparametric stochastic CRB for DOA estimation in elliptical data model

Stefano Fortunati, Fulvio Gini, Maria S. Greco

University of Pisa

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

Abstract

This paper aims at presenting a numerical investigation of the statistical efficiency of the MUSIC (with different covariance matrix estimates) and the IAA-APES Direction of Arrivals (DOAs) estimation algorithms under a general Complex Elliptically Symmetric (CES) distributed measurement model. Specifically, the density generator of the CES-distributed data snapshots is considered as an additional, infinite-dimensional, nuisance parameter. To assess the efficiency in the considered semiparametric setting, the Semiparametric Stochastic Cramér-Rao Bound (SSCRB) is adopted as lower bound for the Mean Square Error (MSE) of the DOA estimators.

Original language	English
Title of host publication	EUSIPCO 2019 - 27th European Signal Processing Conference
Publisher	European Signal Processing Conference, EUSIPCO
ISBN (Electronic)	9789082797039
DOIs	https://doi.org/10.23919/EUSIPCO.2019.8903108
Publication status	Published - 1 Sept 2019
Externally published	Yes
Event	27th European Signal Processing Conference, EUSIPCO 2019 - A Coruna, Spain Duration: 2 Sept 2019 → 6 Sept 2019

Publication series

Name	European Signal Processing Conference
Volume	2019-September
ISSN (Print)	2219-5491

Conference

Conference	27th European Signal Processing Conference, EUSIPCO 2019
Country/Territory	Spain
City	A Coruna
Period	2/09/19 → 6/09/19

Keywords

DOA estimation
Semiparametric Stochastic Cramér-Rao Bound
Semiparametric model

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10.23919/EUSIPCO.2019.8903108

Cite this

@inproceedings{55ebe4b21d3f48c6b0b40595bbb4db61,

title = "Semiparametric stochastic CRB for DOA estimation in elliptical data model",

abstract = "This paper aims at presenting a numerical investigation of the statistical efficiency of the MUSIC (with different covariance matrix estimates) and the IAA-APES Direction of Arrivals (DOAs) estimation algorithms under a general Complex Elliptically Symmetric (CES) distributed measurement model. Specifically, the density generator of the CES-distributed data snapshots is considered as an additional, infinite-dimensional, nuisance parameter. To assess the efficiency in the considered semiparametric setting, the Semiparametric Stochastic Cram{\'e}r-Rao Bound (SSCRB) is adopted as lower bound for the Mean Square Error (MSE) of the DOA estimators.",

keywords = "DOA estimation, Semiparametric Stochastic Cram{\'e}r-Rao Bound, Semiparametric model",

author = "Stefano Fortunati and Fulvio Gini and Greco, \{Maria S.\}",

note = "Publisher Copyright: {\textcopyright} 2019,IEEE; 27th European Signal Processing Conference, EUSIPCO 2019 ; Conference date: 02-09-2019 Through 06-09-2019",

year = "2019",

month = sep,

day = "1",

doi = "10.23919/EUSIPCO.2019.8903108",

language = "English",

series = "European Signal Processing Conference",

publisher = "European Signal Processing Conference, EUSIPCO",

booktitle = "EUSIPCO 2019 - 27th European Signal Processing Conference",

}

Fortunati, S, Gini, F & Greco, MS 2019, Semiparametric stochastic CRB for DOA estimation in elliptical data model. in EUSIPCO 2019 - 27th European Signal Processing Conference. European Signal Processing Conference, vol. 2019-September, European Signal Processing Conference, EUSIPCO, 27th European Signal Processing Conference, EUSIPCO 2019, A Coruna, Spain, 2/09/19. https://doi.org/10.23919/EUSIPCO.2019.8903108

Semiparametric stochastic CRB for DOA estimation in elliptical data model. / Fortunati, Stefano; Gini, Fulvio; Greco, Maria S.
EUSIPCO 2019 - 27th European Signal Processing Conference. European Signal Processing Conference, EUSIPCO, 2019. (European Signal Processing Conference; Vol. 2019-September).

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

TY - GEN

T1 - Semiparametric stochastic CRB for DOA estimation in elliptical data model

AU - Fortunati, Stefano

AU - Gini, Fulvio

AU - Greco, Maria S.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - This paper aims at presenting a numerical investigation of the statistical efficiency of the MUSIC (with different covariance matrix estimates) and the IAA-APES Direction of Arrivals (DOAs) estimation algorithms under a general Complex Elliptically Symmetric (CES) distributed measurement model. Specifically, the density generator of the CES-distributed data snapshots is considered as an additional, infinite-dimensional, nuisance parameter. To assess the efficiency in the considered semiparametric setting, the Semiparametric Stochastic Cramér-Rao Bound (SSCRB) is adopted as lower bound for the Mean Square Error (MSE) of the DOA estimators.

AB - This paper aims at presenting a numerical investigation of the statistical efficiency of the MUSIC (with different covariance matrix estimates) and the IAA-APES Direction of Arrivals (DOAs) estimation algorithms under a general Complex Elliptically Symmetric (CES) distributed measurement model. Specifically, the density generator of the CES-distributed data snapshots is considered as an additional, infinite-dimensional, nuisance parameter. To assess the efficiency in the considered semiparametric setting, the Semiparametric Stochastic Cramér-Rao Bound (SSCRB) is adopted as lower bound for the Mean Square Error (MSE) of the DOA estimators.

KW - DOA estimation

KW - Semiparametric Stochastic Cramér-Rao Bound

KW - Semiparametric model

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U2 - 10.23919/EUSIPCO.2019.8903108

DO - 10.23919/EUSIPCO.2019.8903108

M3 - Conference contribution

AN - SCOPUS:85075597577

T3 - European Signal Processing Conference

BT - EUSIPCO 2019 - 27th European Signal Processing Conference

PB - European Signal Processing Conference, EUSIPCO

T2 - 27th European Signal Processing Conference, EUSIPCO 2019

Y2 - 2 September 2019 through 6 September 2019

ER -

Semiparametric stochastic CRB for DOA estimation in elliptical data model

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Keywords

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