Blackman window

%Blackman window defined over n = -(N-1)/2 to (N-1)/2

% w(n) = 0.5 + 0.5 * cos(2*pi*n/(N-1)) N = 31; n = -(N-1)/2: (N-1)/2;

wn = 0.42 + 0.5 * cos(2*pi*n/(N-1)) + 0.08 * cos(4*pi*n/(N-1)),

stem (n, wn); xlabel('n'), ylabel('w(n)'); grid; title ('Blackman window')

The width of the main lobe is taken as the separation between the zero crossings on either side of ω = 0. This is obtained by setting W (e jw ) = 0 and solving for ω; it is given as 

Width of main lobe (Blackman) = 12π/N

thrice that of the rectangular window.

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