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

Wei, Liu and Weiss, Stephan; Galkowski, K. and Kummert, A. and Rogers, E. and Velten, J., eds. (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, DEU, pp. 19-23. ISBN 3981029987 (https://doi.org/10.1109/NDS.2005.195324)

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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.

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