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

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

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)


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 languageEnglish
Pages (from-to)2535-2543
Number of pages9
JournalSignal Processing
Issue number11
Publication statusPublished - Nov 2007


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


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