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

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

doi:10.1016/j.sigpro.2007.03.018

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

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

Electronic And Electrical Engineering

Research output: Contribution to journal › Article › peer-review

43 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.

Original language	English
Pages (from-to)	2535-2543
Number of pages	9
Journal	Signal Processing
Volume	87
Issue number	11
DOIs	https://doi.org/10.1016/j.sigpro.2007.03.018
Publication status	Published - Nov 2007

Keywords

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

Access to Document

10.1016/j.sigpro.2007.03.018

Cite this

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title = "Frequency invariant beamforming for two-dimensional and three-dimensional arrays",

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.",

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author = "W. Liu and S. Weiss and J. Mcwhirter and I. Proudler",

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journal = "Signal Processing",

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AU - Weiss, S.

AU - Mcwhirter, J.

AU - Proudler, I.

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N2 - 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.

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

U2 - 10.1016/j.sigpro.2007.03.018

DO - 10.1016/j.sigpro.2007.03.018

M3 - Article

VL - 87

SP - 2535

EP - 2543

JO - Signal Processing

JF - Signal Processing

SN - 0165-1684

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ER -