A comparison of geometrically bound random arrays in euclidean space

Kristopher Buchanan; Gregory H. Huff

doi:10.1109/APS.2011.5996900

A comparison of geometrically bound random arrays in euclidean space

Kristopher Buchanan, Gregory H. Huff

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

13 Scopus citations

Abstract

Geometrically bound linear, planar, and volumetric random array topologies are analyzed through a probabilistic approach to study the topological impact on beam pattern. The analysis assumes randomly distributed elements with uniform distribution to evaluate the statistically averaged beam pattern for linear, planar (square and circular), and volumetric (cubical, cylindrical, and spherical) geometries used to bound the array. Results show that many simple geometries share analytical similarities due to symmetry. Numerical results of the average beam pattern show good agreement to analytical solution and are shown for comparison.

Original language	English (US)
Title of host publication	2011 IEEE International Symposium on Antennas and Propagation - Proceedings
Pages	2008-2011
Number of pages	4
DOIs	https://doi.org/10.1109/APS.2011.5996900
State	Published - 2011
Event	2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011 - Spokane, WA, United States Duration: Jul 3 2011 → Jul 8 2011

Publication series

Name	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
ISSN (Print)	1522-3965

Other

Other	2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011
Country/Territory	United States
City	Spokane, WA
Period	7/3/11 → 7/8/11

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.1109/APS.2011.5996900

Cite this

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title = "A comparison of geometrically bound random arrays in euclidean space",

abstract = "Geometrically bound linear, planar, and volumetric random array topologies are analyzed through a probabilistic approach to study the topological impact on beam pattern. The analysis assumes randomly distributed elements with uniform distribution to evaluate the statistically averaged beam pattern for linear, planar (square and circular), and volumetric (cubical, cylindrical, and spherical) geometries used to bound the array. Results show that many simple geometries share analytical similarities due to symmetry. Numerical results of the average beam pattern show good agreement to analytical solution and are shown for comparison.",

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Buchanan, K & Huff, GH 2011, A comparison of geometrically bound random arrays in euclidean space. in 2011 IEEE International Symposium on Antennas and Propagation - Proceedings., 5996900, IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), pp. 2008-2011, 2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011, Spokane, WA, United States, 7/3/11. https://doi.org/10.1109/APS.2011.5996900

A comparison of geometrically bound random arrays in euclidean space. / Buchanan, Kristopher; Huff, Gregory H.
2011 IEEE International Symposium on Antennas and Propagation - Proceedings. 2011. p. 2008-2011 5996900 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - Geometrically bound linear, planar, and volumetric random array topologies are analyzed through a probabilistic approach to study the topological impact on beam pattern. The analysis assumes randomly distributed elements with uniform distribution to evaluate the statistically averaged beam pattern for linear, planar (square and circular), and volumetric (cubical, cylindrical, and spherical) geometries used to bound the array. Results show that many simple geometries share analytical similarities due to symmetry. Numerical results of the average beam pattern show good agreement to analytical solution and are shown for comparison.

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A comparison of geometrically bound random arrays in euclidean space

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