Mixed Near-Field and Far-Field Localization and Array Calibration With Partly Calibrated Arrays

The problem of passive localization of mixed near-field (NF) and far-field (FF) source signals in the presence of array gain-phase uncertainties is addressed. A new algorithm is aimed to use partly calibrated nonuniform linear arrays (NLAs), in which only three sensors have been fully-calibrated. Mo...

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Bibliographic Details
Published in:IEEE transactions on signal processing Vol. 70; pp. 2105 - 2118
Main Authors: He, Jin, Shu, Ting, Li, Linna, Truong, Trieu-Kien
Format: Journal Article
Language:English
Published: New York IEEE 2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
array array gain-phase uncertainty
Array signal processing
Arrays
Calibration
Eigenvalues
Estimates
Far fields
far-field
Geometry
Linear arrays
Localization
Location awareness
Matrices (mathematics)
Near fields
near-field
Noise measurement
Parameter estimation
Polynomials
Sensor arrays
Signal processing algorithms
source localization
Uncertainty
ISSN:1053-587X, 1941-0476
Online Access:Get full text
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Summary:The problem of passive localization of mixed near-field (NF) and far-field (FF) source signals in the presence of array gain-phase uncertainties is addressed. A new algorithm is aimed to use partly calibrated nonuniform linear arrays (NLAs), in which only three sensors have been fully-calibrated. Most of the existing algorithms deal with this problem by exploiting uniform linear arrays (ULAs). Moreover, they assume a simplified source-array model, in which the propagation magnitude scaling is completely neglected and the spatial phase difference is approximated by Taylor's polynomial. As an opposite, the proposed algorithm is employed to accommodate a more general situation: the exact spatial geometries and nonuniform linear arrays. In the proposed algorithm, three cumulant matrices are firstly defined to construct two matrix pencils. Unambiguous range and angle parameter estimates of the NF sources are then obtained from the generalized eigenvalues of the two defined matrix pencils. After that, these estimates are utilized to calibrate array gain-phase errors. Finally, a spectrum-MUSIC like approach is applied to accomplish the angle estimation for the FF sources. The new algorithm is shown to be readily simple and effective and will be verified both mathematically and numerically.
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ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2022.3168975