Frequency invariant beamforming for two-dimensional and three-dimensional arrays

W. Liu, S. Weiss, J. Mcwhirter, I. Proudler

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

A novel method for the design of two-dimensional (2-D) and three-dimensional (3-D) arrays with frequency invariant beam patterns is proposed. By suitable substitutions, the beam pattern of a 2-D or 3-D arrays can be regarded as the 3-D or 4-D Fourier transform of its spatial and temporal parameters. Since frequency invariance can be easily imposed in the Fourier domain, a simple design method is derived. Design examples for the 2-D case are provided.
LanguageEnglish
Pages2535-2543
Number of pages9
JournalSignal Processing
Volume87
Issue number11
DOIs
Publication statusPublished - Nov 2007

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Beamforming
Invariance
Fourier transforms
Substitution reactions

Keywords

  • frequency invariant beamforming
  • linear arrays
  • planar arrays
  • 3-D arrays
  • fourier transform

Cite this

Liu, W. ; Weiss, S. ; Mcwhirter, J. ; Proudler, I. / Frequency invariant beamforming for two-dimensional and three-dimensional arrays. In: Signal Processing. 2007 ; Vol. 87, No. 11. pp. 2535-2543.
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Frequency invariant beamforming for two-dimensional and three-dimensional arrays. / Liu, W.; Weiss, S.; Mcwhirter, J.; Proudler, I.

In: Signal Processing, Vol. 87, No. 11, 11.2007, p. 2535-2543.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Liu, W.

AU - Weiss, S.

AU - Mcwhirter, J.

AU - Proudler, I.

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AB - A novel method for the design of two-dimensional (2-D) and three-dimensional (3-D) arrays with frequency invariant beam patterns is proposed. By suitable substitutions, the beam pattern of a 2-D or 3-D arrays can be regarded as the 3-D or 4-D Fourier transform of its spatial and temporal parameters. Since frequency invariance can be easily imposed in the Fourier domain, a simple design method is derived. Design examples for the 2-D case are provided.

KW - frequency invariant beamforming

KW - linear arrays

KW - planar arrays

KW - 3-D arrays

KW - fourier transform

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