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function res = kaiserBessel(m,alpha,a,r)
%------------------------------------------------------------------------
% res = kaiserBessel(m,alpha,a,r)
%
% Calculates the Kaiser windowing function
%
% a: length of the sequence.
% m: order.
% alpha: determines shape of window.
% r: input values for which to compute window value.
% res: the window values.
%------------------------------------------------------------------------
%------------------------------------------------------------------------
% This file is part of the ASTRA Toolbox
%
% Copyright: 2010-2016, iMinds-Vision Lab, University of Antwerp
% 2014-2016, CWI, Amsterdam
% License: Open Source under GPLv3
% Contact: astra@uantwerpen.be
% Website: http://www.astra-toolbox.com/
%------------------------------------------------------------------------
sq = sqrt(1 - (r./a).^2);
res1 = 1 ./ besseli(m, alpha);
res2 = sq .^ m;
res3 = besseli(m, alpha .* sq);
res = res1 .* res2 .* res3;
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