Beamforming with Dolph-Chebyshev Optimization and Other Conventional Methods.

摘要

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.