Calculating Chebyshev shading coefficients via the discrete Fourier transform
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A previous technique for deriving Chebyshev shading coefficients using a cosine series is rewritten in the form of an inverse discrete Fourier transform (DFT) thus allowing one to take advantage of standard DFT algorithms. The reduced accuracy required for intermediate calculations is retained. Additionally, the fast Fourier transform can be used giving computational savings.
[1] R. Stegen,et al. Excitation Coefficients and Beamwidths of Tschebyscheff Arrays , 1953, Proceedings of the IRE.