Noise Statistics of a Higher Order Directional Sensor, Realized by Computing Finite Differences Spatially Across Multiple Isotropic Sensors

Andriy Y. Olenko, Kainam Thomas Wong

Research output: Journal article publicationJournal articleAcademic researchpeer-review

5 Citations (Scopus)


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 languageEnglish
Article number6621854
Pages (from-to)2792-2798
Number of pages7
JournalIEEE Transactions on Aerospace and Electronic Systems
Issue number4
Publication statusPublished - 21 Oct 2013

ASJC Scopus subject areas

  • Aerospace Engineering
  • Electrical and Electronic Engineering

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