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%GAUSSWIN Gaussian window.
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% REPLAENEMENT OF THE MATLAB VERSION THAT OFTEN
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% FAILS DUE TO SOME DEPENDENCIES
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% GAUSSWIN(N) returns an N-point Gaussian window.
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%
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% GAUSSWIN(N, ALPHA) returns the ALPHA-valued N-point Gaussian
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% window. ALPHA is defined as the reciprocal of the standard
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% deviation and is a measure of the width of its Fourier Transform.
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% As ALPHA increases, the width of the window will decrease. If omitted,
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% ALPHA is 2.5.
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%
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% EXAMPLE:
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% N = 32;
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% wvtool(gausswin(N));
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%
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%
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% See also CHEBWIN, KAISER, TUKEYWIN, WINDOW.
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% Reference:
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% [1] fredric j. harris [sic], On the Use of Windows for Harmonic
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% Analysis with the Discrete Fourier Transform, Proceedings of
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% the IEEE, Vol. 66, No. 1, January 1978
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% Copyright 1988-2013 The MathWorks, Inc.
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function w = gausswin(L, a)
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narginchk(1,2);
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% Default value for Alpha
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if nargin < 2 || isempty(a),
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a = 2.5;
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end
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%Cast to enforce Precision Rules
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L = double(L); % data type of L is checked in check_order
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% Compute window according to [1]
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N = L-1;
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n = (0:N)'-N/2;
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w = exp(-(1/2)*(a*n/(N/2)).^2);
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end
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