CRB based-design of linear antenna arrays for near-field source localizationReport as inadecuate




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1 Department of Electrical and Computer Engineering University of Sharjah 2 TIPIC-SAMOVAR - Traitement de l-Information Pour Images et Communications SAMOVAR - Services répartis, Architectures, MOdélisation, Validation, Administration des Réseaux 3 CITI - Communications, Images et Traitement de l-Information 4 SAMOVAR - Services répartis, Architectures, MOdélisation, Validation, Administration des Réseaux

Abstract : This paper is devoted to the Cramer Rao bound CRB on the angle and range of a narrow-band near-field source localized by means of an arbitrary linear array using the exact expression of the time delay parameter. First, we prove that the conditional and unconditional CRBs are proportional for an arbitrary parametrization of the steering vector. Then, a Taylor expansion of the CRB is conducted to obtain accurate non-matrix closed-form expressions of the CRB on angle and range. In contrast to the existing expressions, our expressions are simple, interpretable and more general because the sensors are only constrained to be placed along some axis. Our analysis leads to the characterization of a class of centro-symmetric linear arrays with better near-field angle and range estimation capabilities

Keywords : Cramer Rao bounds Linear antenna arrays Direction-of-arrival and range estimation Near-field source localization





Author: Houcem Gazzah - Jean-Pierre Delmas -

Source: https://hal.archives-ouvertes.fr/



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