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.
- frequency invariant beamforming
- linear arrays
- planar arrays
- 3-D arrays
- fourier transform
Liu, W., Weiss, S., Mcwhirter, J., & Proudler, I. (2007). Frequency invariant beamforming for two-dimensional and three-dimensional arrays. Signal Processing, 87(11), 2535-2543. https://doi.org/10.1016/j.sigpro.2007.03.018