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NONMATRIX CLOSED-FORM EXPRESSIONS OF THE CRAMER-RAO BOUNDS FOR NEAR-FIELD LOCALIZATION PARAMETERS

Abstract : Near-field source localization problem by a passive antenna array makes the assumption that the time-varying sources are located near the antenna. In this situation, the far-field assumption (planar wavefront) is no longer valid and we have to consider a more complicated model parameterized by the bearing (as in the far-field case) and by the distance, named range, between the source and a reference sensor. We can find a plethora of estimation schemes in the literature but the ultimate performance has not been fully investigated. In this paper, we derive and analyze the Cram´er-Rao Bound (CRB) for a single time-varying source. In this case, we obtain nonmatrix closed-form expressions. Our approach has two advantages: (i) the computational cost for a large number of snapshots of a matrix-based CRB can be high while our approach is cheap and (ii) some useful informations can be deduced from the behavior of the bound. In particular, we show that closer is the source from the array and/or higher is the carrier frequency, better is the estimation of the range.
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https://hal.inria.fr/inria-00444814
Contributor : Alexandre Renaux <>
Submitted on : Thursday, January 7, 2010 - 12:13:15 PM
Last modification on : Thursday, June 17, 2021 - 3:46:53 AM
Long-term archiving on: : Friday, June 18, 2010 - 12:31:01 AM

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Mohammed Nabil El Korso, Remy Boyer, Alexandre Renaux, Sylvie Marcos. NONMATRIX CLOSED-FORM EXPRESSIONS OF THE CRAMER-RAO BOUNDS FOR NEAR-FIELD LOCALIZATION PARAMETERS. International Conference on Acoustics, Speech, and Signal Processing, ICASSP-09, 2009, Taipei, Taiwan. ⟨inria-00444814⟩

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