Rules-of-thumb to design a uniform spherical array for direction finding—Its Cramér– Rao bounds' nonlinear dependence on the number of sensors

Simple item page
dc.contributor.authorNdiku, Morris, Z
dc.contributor.authorWong, Kainam, T
dc.contributor.authorNnonyelu, Joseph,C
dc.date.accessioned2022-02-07T16:58:28Z
dc.date.available2022-02-07T16:58:28Z
dc.date.issued2019-02
dc.descriptionArticleen_US
dc.description.abstractABSTRACT This paper discovers rules-of-thumb on how the estimation precision for an incident source's azimuth-polar direction-of-arrival (ϕ,θ) depends on the number (L) of identical isotropic sensors spaced uniformly on an open sphere of radius R. This estimation's corresponding Cramér–Rao bounds (CRB) are found to follow these elegantly simple approximations, useful for array design: (i) For the azimuth arrival angle: 2π(R/λ)(σs/σn) √ 2LMCRB(ϕ)  sin(θ)≈(Le1/14)−1+ √ 3 → L→∞ √ 3 , ∀(ϕ,θ); and (ii) for the polar arrival angle: 2π(R/λ)(σs/σn) √ 2LMCRB(θ) ≈ √ 3 −(Le6/7)−1 → L→∞ √ 3 , ∀(ϕ,θ). Here, M denotes the number of snapshots, λ refers to the incident signal's wavelength, and (σs/σn)2 symbolizes the signal-to-noise power ratio.en_US
dc.identifier.citationThe Journal of the Acoustical Society of America 145, 714 (2019); doi: 10.1121/1.5088592en_US
dc.identifier.uridoi: 10.1121/1.5088592
dc.identifier.urihttp://repository.embuni.ac.ke/handle/embuni/3970
dc.language.isoenen_US
dc.publisherAcoustical Society of Americaen_US
dc.titleRules-of-thumb to design a uniform spherical array for direction finding—Its Cramér– Rao bounds' nonlinear dependence on the number of sensorsen_US
dc.typeArticleen_US
Files
Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
Rules-of-thumb to design a uniform spherical array for direction finding—Its Cramér–.pdf
Size:
4.33 MB
Format:
Adobe Portable Document Format
Description:
Article
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Articles: Department of Computing and Information Technology