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

Authors:
Wei Liu;Stephan Weiss;John G. McWhirter;Ian K. Proudler
Affiliations:
Communications Research Group, Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield S1 3JD, UK;Institute of Communications and Signal Processing, School of Electronic and Electrical Engineering, University of Strathclyde, UK;Advanced Signal and Information Processing Group, QinetiQ Ltd, Malvern, UK;Advanced Signal and Information Processing Group, QinetiQ Ltd, Malvern, UK
Venue:
Signal Processing
Year:
2007

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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.