Particle swarm optimization of a modified Bernstein polynomial for conformal array excitation synthesis

D. W. Boeringer; D. H. Werner

doi:10.1109/aps.2004.1331829

Particle swarm optimization of a modified Bernstein polynomial for conformal array excitation synthesis

D. W. Boeringer, D. H. Werner

Research output: Contribution to journal › Conference article › peer-review

9 Scopus citations

Abstract

Bernstein polynomials are well known in the computer graphics community as the basis functions of Bézier curves. Like popular amplitude weighting functions such as Taylor weights, Bernstein polynomials are nonnegative and decay smoothly away from a single maximum. In this paper a modified Bernstein polynomial is introduced, defined with just four parameters for ease and speed of optimization. A particle swarm optimizer sets these four parameters to realize low sidelobe array amplitude distributions for a conformal array at various scan angles. This yields a novel method of generating realistic aperture weights, using the relatively new technique of particle swarm optimization.

Original language	English (US)
Pages (from-to)	2293-2296
Number of pages	4
Journal	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume	3
DOIs	https://doi.org/10.1109/aps.2004.1331829
State	Published - 2004
Event	IEEE Antennas and Propagation Society Symposium 2004 Digest held in Conjunction with: USNC/URSI National Radio Science Meeting - Monterey, CA, United States Duration: Jun 20 2004 → Jun 25 2004

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.1109/aps.2004.1331829

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abstract = "Bernstein polynomials are well known in the computer graphics community as the basis functions of B{\'e}zier curves. Like popular amplitude weighting functions such as Taylor weights, Bernstein polynomials are nonnegative and decay smoothly away from a single maximum. In this paper a modified Bernstein polynomial is introduced, defined with just four parameters for ease and speed of optimization. A particle swarm optimizer sets these four parameters to realize low sidelobe array amplitude distributions for a conformal array at various scan angles. This yields a novel method of generating realistic aperture weights, using the relatively new technique of particle swarm optimization.",

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AU - Boeringer, D. W.

AU - Werner, D. H.

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AB - Bernstein polynomials are well known in the computer graphics community as the basis functions of Bézier curves. Like popular amplitude weighting functions such as Taylor weights, Bernstein polynomials are nonnegative and decay smoothly away from a single maximum. In this paper a modified Bernstein polynomial is introduced, defined with just four parameters for ease and speed of optimization. A particle swarm optimizer sets these four parameters to realize low sidelobe array amplitude distributions for a conformal array at various scan angles. This yields a novel method of generating realistic aperture weights, using the relatively new technique of particle swarm optimization.

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EP - 2296

JO - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)

JF - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)

T2 - IEEE Antennas and Propagation Society Symposium 2004 Digest held in Conjunction with: USNC/URSI National Radio Science Meeting

Y2 - 20 June 2004 through 25 June 2004

ER -

Particle swarm optimization of a modified Bernstein polynomial for conformal array excitation synthesis

Abstract

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