@article{764909f2afe943eea29d02b6fa6794e0,

title = "Mismatch of near-field bearing-range spatial geometry in source-localization by a uniform linear array",

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.",

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",

author = "Hsu, {Yu Sheng} and Wong, {Kainam Thomas} and Lina Yeh",

note = "Funding Information: Manuscript received January 31, 2010; revised January 17, 2011; accepted-March 09, 2011. Date of publication August 04, 2011; date of current version October 05, 2011. This work was supported by the Hong Kong Polytechnic University{\textquoteright}s Internal Competitive Research Grant #G-YF22. Y.-S. Hsu is with the Department of Mathematics, National Central University, Chung-Li 32001, Taiwan (e-mail: hsu@math.ncu.edu.tw). K. T. Wong is with the Department of Electronic & Information Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong (e-mail: ktwong@ieee.org). L. Yeh is with the Department of Mathematics, Soochow University, Taipei, Taiwan. Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TAP.2011.2163749",

year = "2011",

month = oct,

doi = "10.1109/TAP.2011.2163749",

language = "???core.languages.en_GB???",

volume = "59",

pages = "3658--3667",

journal = "IEEE Transactions on Antennas and Propagation",

issn = "0018-926X",

number = "10",

}