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Design of frequency-invariant beamformers employing multi-dimensional fourier transforms

Wei, Liu and Weiss, Stephan (2005) Design of frequency-invariant beamformers employing multi-dimensional fourier transforms. In: 4th International Workshop on Multi-Dimensional Systems, 2005-07-10 - 2005-07-13, Wuppertal.

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Abstract

The design of a class of broadband arrays with frequency invariant beam patterns is studied and a simplified version of the design method employing multi-dimensional Fourier transforms is proposed with detailed account of each step. In the design examples, we give a mathematical explanation for the failure of this method in the lower frequencies. For a design with main beam pointing to a direction other than the broadside, the frequency invariant property is not good and two solutions for this problem are provided.