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

Liu, W. and Weiss, S. and Mcwhirter, J. and Proudler, I. (2007) Frequency invariant beamforming for two-dimensional and three-dimensional arrays. Signal Processing, 87 (11). pp. 2535-2543. ISSN 0165-1684

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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.