Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/33343
Title: Mismatch of near-field bearing-range spatial geometry in source-localization by a uniform linear array
Authors: Hsu, YS
Wong, KT 
Yeh, L
Keywords: Acoustic interferometry
array signal processing
direction of arrival estimation
interferometry
linear arrays
near-field far-field transformation
phased arrays
sonar arrays
underwater acoustic arrays
Issue Date: 2011
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on antennas and propagation, 2011, v. 59, no. 10, 5976414, p. 3658-3667 How to cite?
Journal: IEEE transactions on antennas and propagation 
Abstract: Many near-field source-localization algorithms intentionally simplifies the exact spatial geometry among the emitter and the sensors, in order to speed up the signal-processing involved. For example, the Fresnel approximation is a second order Taylor-series approximation. Such intentional approximation introduces a systemic error in the algorithm's modeling of the actual objective reality from which the measured data arise. A mismatch thus exists between the algorithm's presumptions versus the data it processes. This modeling-mismatch will introduce a systematic bias in the bearing-range estimates of the near-field source-localization algorithm. This bias is non-random, and adds towards the random estimation-errors due to the additive and/or multiplicative noises. The open literature currently offers no rigorous mathematical analysis on this issue. This proposed project aims to fill this literature gap, by deriving explicit formulas of the degrading effects in three-dimensional source-localization, due to approximating the source/sensor geometry by any order of the Taylor's series expansion.
URI: http://hdl.handle.net/10397/33343
ISSN: 0018-926X
EISSN: 1558-2221
DOI: 10.1109/TAP.2011.2163749
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