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.
Original language | English |
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Article number | 6621854 |
Pages (from-to) | 2792-2798 |
Number of pages | 7 |
Journal | IEEE Transactions on Aerospace and Electronic Systems |
Volume | 49 |
Issue number | 4 |
DOIs | |
Publication status | Published - 21 Oct 2013 |
ASJC Scopus subject areas
- Aerospace Engineering
- Electrical and Electronic Engineering