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Beamforming with Dolph-Chebyshev Optimization and Other Conventional Methods.
NAVAL OCEANOGRAPHIC AND ATMOSPHERIC RESEARCH LAB STENNIS SPACE CENTER MS
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In conventional beamforming, several shading methods are available to optimize the mainlobe width and the sidelobe levels for specific situations. These include Gaussian, Hann, and Dolph-Chebyshev methods. The Dolph-Chebyshev optimization method is of special interest, because it allows minimization of mainlobe width for a specific sidelobe level. Perhaps the best account of the Dolph-Chebyshev method in the widely available literature is found in a book by Albers, where the method is described only in terms of specific examples. In order to facilitate the Dolph-Chebyshev computation for an arbitrary number N even or odd of phones, a convenient set of recursion relations are presented in this technical note. A listing of our FORTRAN program Steer, and graphical examples are given, comparing the features of the different methods.
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