Optimal adaptive normalized matched filter for large antenna arrays

Handle URI:
http://hdl.handle.net/10754/622578
Title:
Optimal adaptive normalized matched filter for large antenna arrays
Authors:
Kammoun, Abla ( 0000-0002-0195-3159 ) ; Couillet, Romain; Pascal, Frédéric; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
This paper focuses on the problem of detecting a target in the presence of a compound Gaussian clutter with unknown statistics. To this end, we focus on the design of the adaptive normalized matched filter (ANMF) detector which uses the regularized Tyler estimator (RTE) built from N-dimensional observations x, · · ·, x in order to estimate the clutter covariance matrix. The choice for the RTE is motivated by its possessing two major attributes: first its resilience to the presence of outliers, and second its regularization parameter that makes it more suitable to handle the scarcity in observations. In order to facilitate the design of the ANMF detector, we consider the regime in which n and N are both large. This allows us to derive closed-form expressions for the asymptotic false alarm and detection probabilities. Based on these expressions, we propose an asymptotically optimal setting for the regularization parameter of the RTE that maximizes the asymptotic detection probability while keeping the asymptotic false alarm probability below a certain threshold. Numerical results are provided in order to illustrate the gain of the proposed detector over a recently proposed setting of the regularization parameter.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program
Citation:
Kammoun A, Couillet R, Pascal F, Alouini M-S (2016) Optimal adaptive normalized matched filter for large antenna arrays. 2016 IEEE Statistical Signal Processing Workshop (SSP). Available: http://dx.doi.org/10.1109/SSP.2016.7551722.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2016 IEEE Statistical Signal Processing Workshop (SSP)
Conference/Event name:
19th IEEE Statistical Signal Processing Workshop, SSP 2016
Issue Date:
13-Sep-2016
DOI:
10.1109/SSP.2016.7551722
Type:
Conference Paper
Additional Links:
http://ieeexplore.ieee.org/document/7551722/
Appears in Collections:
Conference Papers; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorKammoun, Ablaen
dc.contributor.authorCouillet, Romainen
dc.contributor.authorPascal, Frédéricen
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2017-01-02T09:55:31Z-
dc.date.available2017-01-02T09:55:31Z-
dc.date.issued2016-09-13en
dc.identifier.citationKammoun A, Couillet R, Pascal F, Alouini M-S (2016) Optimal adaptive normalized matched filter for large antenna arrays. 2016 IEEE Statistical Signal Processing Workshop (SSP). Available: http://dx.doi.org/10.1109/SSP.2016.7551722.en
dc.identifier.doi10.1109/SSP.2016.7551722en
dc.identifier.urihttp://hdl.handle.net/10754/622578-
dc.description.abstractThis paper focuses on the problem of detecting a target in the presence of a compound Gaussian clutter with unknown statistics. To this end, we focus on the design of the adaptive normalized matched filter (ANMF) detector which uses the regularized Tyler estimator (RTE) built from N-dimensional observations x, · · ·, x in order to estimate the clutter covariance matrix. The choice for the RTE is motivated by its possessing two major attributes: first its resilience to the presence of outliers, and second its regularization parameter that makes it more suitable to handle the scarcity in observations. In order to facilitate the design of the ANMF detector, we consider the regime in which n and N are both large. This allows us to derive closed-form expressions for the asymptotic false alarm and detection probabilities. Based on these expressions, we propose an asymptotically optimal setting for the regularization parameter of the RTE that maximizes the asymptotic detection probability while keeping the asymptotic false alarm probability below a certain threshold. Numerical results are provided in order to illustrate the gain of the proposed detector over a recently proposed setting of the regularization parameter.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/document/7551722/en
dc.titleOptimal adaptive normalized matched filter for large antenna arraysen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.identifier.journal2016 IEEE Statistical Signal Processing Workshop (SSP)en
dc.conference.date2016-06-25 to 2016-06-29en
dc.conference.name19th IEEE Statistical Signal Processing Workshop, SSP 2016en
dc.conference.locationPalma de Mallorca, ESPen
dc.contributor.institutionCentraleSupélec, Université Paris, Saclay, Franceen
kaust.authorKammoun, Ablaen
kaust.authorAlouini, Mohamed-Slimen
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