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Angular resolution limit for array processing : estimation and information theory approaches

Abstract : In this paper, we study the behavior of the angular resolution limit (ARL) for two closely spaced sources in the context of array processing. Particularly, we derive new closed-form expressions of the ARL for three methods: the first one, which is the main contribution of this work, is based on the Stein's lemma which links the Chernoff's distance and a given/fixed probability of error, Pe, associated to the binary hypothesis test: H0 : ARL equal to 0 versus H1 : ARL non equal to 0. The two other methods are based on the well-known Lee and Smith's criterions using the Cramér-Rao lower Bound (CRB). We show that the proposed ARL based on the Stein's lemma and the one based on the Smith's criterion have a similar behavior and they are proportional by a factor which depends only on Pfa and Pd and not on the model parameters (number of snapshots, sensor, sources, ....). Another conclusion is that for orthogonal signals and/or for a large number of snapshots, it is possible to give an unified closed-form expression of the ARL for the three approaches.
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https://hal-supelec.archives-ouvertes.fr/hal-00776403
Contributor : Sylvie Marcos <>
Submitted on : Tuesday, January 15, 2013 - 2:53:32 PM
Last modification on : Wednesday, October 14, 2020 - 3:57:02 AM

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  • HAL Id : hal-00776403, version 1

Citation

Nguyen Duy Tran, Rémy Boyer, Sylvie Marcos, Pascal Larzabal. Angular resolution limit for array processing : estimation and information theory approaches. EUSIPCO 2012, Aug 2012, Bucharest, Romania. pp.1-5. ⟨hal-00776403⟩

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