Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/32872
Title: An hybrid Cramér-Rao bound in closed form for direction-of-arrival estimation by an " acoustic vector sensor" with gain-phase uncertainties
Authors: Tam, PK
Wong, KT 
Song, Y
Keywords: Acoustic signal processing
Acoustic velocity measurement
Array signal processing
Direction of arrival estimation
Sonar arrays
Sonar signal processing
Underwater acoustic arrays
Issue Date: 2014
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on signal processing, 2014, v. 62, no. 10, p. 2504-2516 How to cite?
Journal: IEEE transactions on signal processing 
Abstract: An “acoustic vector sensor” (also known as a “vector hydrophone” in underwater or sea-surface applications) is composed of three orthogonally oriented uni-axial particle-velocity sensors, plus a “pressure-sensor” (i.e., a microphone or a hydrophone) - all collocated in a point-like spatial geometry. (This collocated setup is versatile for direction finding, because its azimuth-elevation spatial response is independent of frequency.) This paper investigates how the acoustic vector sensor's direction finding accuracy would be degraded by random deviations from its nominal gain response and/or phase response. Each type of deviation is statistically modeled herein as a random variable with a small variance, reasonably so for a well-built acoustic vector sensor. The resulting hybrid Cramér-Rao bound (HCRB) is derived exactly in open form for azimuth-elevation arrival-angle estimation, but also approximated to produce a closed form that is simple enough to yield qualitative observations. This closed-form hybrid Cramér-Rao lower bound's tightness is illustrated by a new estimator developed in this paper.
URI: http://hdl.handle.net/10397/32872
ISSN: 1053-587X (print)
1941-0476 (online)
DOI: 10.1109/TSP.2014.2310431
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