Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/28296
Title: Noise statistics of a higher order directional sensor, realized by computing finite differences spatially across multiple isotropic sensors
Authors: Olenko, AY
Wong, KT 
Issue Date: 2013
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on aerospace and electronic systems, 2013, v. 49, no. 4, 6621854, p. 2792-2798 How to cite?
Journal: IEEE transactions on aerospace and electronic systems 
Abstract: An acoustic «particle velocity sensor» (a.k.a. a geophone) exhibits a gain-response with a cosine-like directivity. The particle velocity sensor may be realized in hardware by two «pressure sensors» (of isotropic directivity) displaced in space, and by computing the spatial first-order finite difference between the data of the two isotropic component-sensors. As each component-sensor's data are degraded by additive noises (modeled here with much generality as stochastically distributed as «stable» (a.k.a. «alpha stable» or «$\ alpha$ stable»), and not restricted to being Gaussian), the particle velocity sensor as a whole would also experience noise, the statistics of which is analytically derived here. Furthermore, beyond this particle velocity sensor involving a first-order finite difference, the work presented here also derives the composite noise statistics of higher order difference realizations of sensors of higher order directivity in their gain responses.
URI: http://hdl.handle.net/10397/28296
ISSN: 0018-9251
DOI: 10.1109/TAES.2013.6621854
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