Statistical Analysis and Discussion of Circularly Bound Random Antenna Array Distributions

Kristopher Buchanan; Michelle Rodriguez; Sara Wheeland; Drew Overturf; Oren Sternberg; Gregory H. Huff

doi:10.1109/PAST43306.2019.9020752

Statistical Analysis and Discussion of Circularly Bound Random Antenna Array Distributions

Kristopher Buchanan, Michelle Rodriguez, Sara Wheeland, Drew Overturf, Oren Sternberg, Gregory H. Huff

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

4 Scopus citations

Abstract

The radiation performance of circularly bound random arrays with uniform and Gaussian distributions is analyzed statistically to identify regions of deterministic, transitional, and random behavior. Isotropic radiators are preferred in this analysis as they provide relevant information on fundamental beamforming behavior. This can be applied to provide practical estimates and ideal limitations on the maximum peaking sidelobe located in the stochastically described 3dB region with non-deterministic behavior. The mathematical process required for this analysis includes a statistical formulation of the array factor, including the mean, or expected value, and the variance. Analysis from prior work on random arrays provides the framework for this work, but the intuitive and streamlined analytical approach developed here forms an accurate estimate for the maximum peaking sidelobe behavior in a volumetric scan region.

Original language	English (US)
Title of host publication	2019 IEEE International Symposium on Phased Array Systems and Technology, PAST 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781728130491
DOIs	https://doi.org/10.1109/PAST43306.2019.9020752
State	Published - Oct 2019
Event	2019 IEEE International Symposium on Phased Array Systems and Technology, PAST 2019 - Waltham, United States Duration: Oct 15 2019 → Oct 18 2019

Publication series

Name	IEEE International Symposium on Phased Array Systems and Technology
Volume	2019-October

Conference

Conference	2019 IEEE International Symposium on Phased Array Systems and Technology, PAST 2019
Country/Territory	United States
City	Waltham
Period	10/15/19 → 10/18/19

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.1109/PAST43306.2019.9020752

Cite this

Buchanan, K., Rodriguez, M., Wheeland, S., Overturf, D., Sternberg, O., & Huff, G. H. (2019). Statistical Analysis and Discussion of Circularly Bound Random Antenna Array Distributions. In 2019 IEEE International Symposium on Phased Array Systems and Technology, PAST 2019 Article 9020752 (IEEE International Symposium on Phased Array Systems and Technology; Vol. 2019-October). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/PAST43306.2019.9020752

Buchanan, Kristopher ; Rodriguez, Michelle ; Wheeland, Sara et al. / Statistical Analysis and Discussion of Circularly Bound Random Antenna Array Distributions. 2019 IEEE International Symposium on Phased Array Systems and Technology, PAST 2019. Institute of Electrical and Electronics Engineers Inc., 2019. (IEEE International Symposium on Phased Array Systems and Technology).

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title = "Statistical Analysis and Discussion of Circularly Bound Random Antenna Array Distributions",

abstract = "The radiation performance of circularly bound random arrays with uniform and Gaussian distributions is analyzed statistically to identify regions of deterministic, transitional, and random behavior. Isotropic radiators are preferred in this analysis as they provide relevant information on fundamental beamforming behavior. This can be applied to provide practical estimates and ideal limitations on the maximum peaking sidelobe located in the stochastically described 3dB region with non-deterministic behavior. The mathematical process required for this analysis includes a statistical formulation of the array factor, including the mean, or expected value, and the variance. Analysis from prior work on random arrays provides the framework for this work, but the intuitive and streamlined analytical approach developed here forms an accurate estimate for the maximum peaking sidelobe behavior in a volumetric scan region.",

author = "Kristopher Buchanan and Michelle Rodriguez and Sara Wheeland and Drew Overturf and Oren Sternberg and Huff, {Gregory H.}",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 2019 IEEE International Symposium on Phased Array Systems and Technology, PAST 2019 ; Conference date: 15-10-2019 Through 18-10-2019",

year = "2019",

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doi = "10.1109/PAST43306.2019.9020752",

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series = "IEEE International Symposium on Phased Array Systems and Technology",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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Buchanan, K, Rodriguez, M, Wheeland, S, Overturf, D, Sternberg, O & Huff, GH 2019, Statistical Analysis and Discussion of Circularly Bound Random Antenna Array Distributions. in 2019 IEEE International Symposium on Phased Array Systems and Technology, PAST 2019., 9020752, IEEE International Symposium on Phased Array Systems and Technology, vol. 2019-October, Institute of Electrical and Electronics Engineers Inc., 2019 IEEE International Symposium on Phased Array Systems and Technology, PAST 2019, Waltham, United States, 10/15/19. https://doi.org/10.1109/PAST43306.2019.9020752

Statistical Analysis and Discussion of Circularly Bound Random Antenna Array Distributions. / Buchanan, Kristopher; Rodriguez, Michelle; Wheeland, Sara et al.
2019 IEEE International Symposium on Phased Array Systems and Technology, PAST 2019. Institute of Electrical and Electronics Engineers Inc., 2019. 9020752 (IEEE International Symposium on Phased Array Systems and Technology; Vol. 2019-October).

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

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T1 - Statistical Analysis and Discussion of Circularly Bound Random Antenna Array Distributions

AU - Buchanan, Kristopher

AU - Rodriguez, Michelle

AU - Wheeland, Sara

AU - Overturf, Drew

AU - Sternberg, Oren

AU - Huff, Gregory H.

PY - 2019/10

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N2 - The radiation performance of circularly bound random arrays with uniform and Gaussian distributions is analyzed statistically to identify regions of deterministic, transitional, and random behavior. Isotropic radiators are preferred in this analysis as they provide relevant information on fundamental beamforming behavior. This can be applied to provide practical estimates and ideal limitations on the maximum peaking sidelobe located in the stochastically described 3dB region with non-deterministic behavior. The mathematical process required for this analysis includes a statistical formulation of the array factor, including the mean, or expected value, and the variance. Analysis from prior work on random arrays provides the framework for this work, but the intuitive and streamlined analytical approach developed here forms an accurate estimate for the maximum peaking sidelobe behavior in a volumetric scan region.

AB - The radiation performance of circularly bound random arrays with uniform and Gaussian distributions is analyzed statistically to identify regions of deterministic, transitional, and random behavior. Isotropic radiators are preferred in this analysis as they provide relevant information on fundamental beamforming behavior. This can be applied to provide practical estimates and ideal limitations on the maximum peaking sidelobe located in the stochastically described 3dB region with non-deterministic behavior. The mathematical process required for this analysis includes a statistical formulation of the array factor, including the mean, or expected value, and the variance. Analysis from prior work on random arrays provides the framework for this work, but the intuitive and streamlined analytical approach developed here forms an accurate estimate for the maximum peaking sidelobe behavior in a volumetric scan region.

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Buchanan K, Rodriguez M, Wheeland S, Overturf D, Sternberg O, Huff GH. Statistical Analysis and Discussion of Circularly Bound Random Antenna Array Distributions. In 2019 IEEE International Symposium on Phased Array Systems and Technology, PAST 2019. Institute of Electrical and Electronics Engineers Inc. 2019. 9020752. (IEEE International Symposium on Phased Array Systems and Technology). doi: 10.1109/PAST43306.2019.9020752

Statistical Analysis and Discussion of Circularly Bound Random Antenna Array Distributions

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