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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: Fourth international workshop on multidimensional systems - NDS 2005. GMT Gesellschaft fur Medizin & Technik, Wuppertal, pp. 19-23. ISBN 3981029987

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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.