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.
|Number of pages||7|
|Journal||IEEE Transactions on Aerospace and Electronic Systems|
|Publication status||Published - 21 Oct 2013|
ASJC Scopus subject areas
- Aerospace Engineering
- Electrical and Electronic Engineering