Apodization, being defined as the multiplication of a sinc function by some window, corresponds in the Fourier domain to a convolution-based construction. The Hanning window is one out of several attempts to design a window that has favorable properties in the Fourier domain. The result is
With L = 0, the order of approximation of Hanning interpolation is no better than that of Dirichlet interpolation; the constant Cv is significantly improved, though. Whereas it was C^ = 0.1076 for sinc f, it is now C^ = 0.0153 for sinc f. Being continuously differentiable, Hanning is also more regular than Dirichlet (Fig. 14).
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